Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.6s (58.1%)

Results

2.3s	4123×	body	1024	valid
694.0ms	2117×	body	512	valid
343.0ms	441×	body	2048	valid
235.0ms	1575×	body	256	valid
1.0ms	6×	body	256	invalid

preprocess91.0ms (1.5%)

Algorithm

2×	egg-herbie

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 2

Calls

Call 1

Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))

eval1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

58.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.2b	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.7b	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
	0.0b	(/.f64 (+.f64 -1 eps) (-.f64 -1 eps))
✓	0.0b	(/.f64 (+.f64 -1 eps) (-.f64 -1 eps))
✓	5.7b	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
1.0ms	eps	@	inf	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
1.0ms	eps	@	-inf	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
1.0ms	eps	@	0	(/.f64 (+.f64 -1 eps) (-.f64 -1 eps))
0.0ms	eps	@	inf	(/.f64 (+.f64 -1 eps) (-.f64 -1 eps))

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

106×	`egg-rr`
19×	`egg-rr`

Counts

2 → 125

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
(/.f64 (+.f64 -1 eps) (-.f64 -1 eps))

Outputs
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Outputs

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(/.f64 1 (+.f64 1 eps))) (fma.f64 eps eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 eps 3)) (-.f64 -1 eps)) 1) (fma.f64 eps eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 -1 eps) (+.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))))

simplify138.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

149 → 153

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (/.f64 2 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (fma.f64 (pow.f64 eps -5) 2/5 (/.f64 2 eps))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (/.f64 2 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (fma.f64 (pow.f64 eps -5) 2/5 (/.f64 2 eps))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 eps -2 (fma.f64 2 (*.f64 eps eps) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 (*.f64 eps eps) 2 (fma.f64 -2 (pow.f64 eps 3) 1)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 2 (pow.f64 eps -2) 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 2 (pow.f64 eps -2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 2 (pow.f64 eps -2) 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 2 (pow.f64 eps -2) 1))

eval65.0ms (1.1%)

Compiler: Compiled 2478 to 1977 computations (20.2% saved)

prune22.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	149	4	153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	5	154

Error

Counts

154 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.2b	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
▶	58.2b	(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))
▶	0.7b	(*.f64 -2 eps)
▶	58.2b	(log.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)))
▶	0.4b	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 -2/3 (pow.f64 eps 3))
	0.0b	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	0.0b	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
✓	0.2b	(*.f64 -2/3 (pow.f64 eps 3))

Compiler

Compiled 25 to 19 computations (24% saved)

series3.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(*.f64 -2/3 (pow.f64 eps 3))
1.0ms	eps	@	inf	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
1.0ms	eps	@	inf	(*.f64 -2/3 (pow.f64 eps 3))
1.0ms	eps	@	-inf	(*.f64 -2/3 (pow.f64 eps 3))
0.0ms	eps	@	0	(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

46×	`egg-rr`
26×	`egg-rr`

Counts

2 → 72

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 (.f64 -2/3 (pow.f64 eps 3)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -2/3 (pow.f64 eps 3)) 0) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 0 (.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 -2/3 (pow.f64 eps 3))) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 -2/3) (.f64 (cbrt.f64 4/9) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2/3 (.f64 eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 eps 3) (cbrt.f64 -2/3)) (cbrt.f64 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (.f64 -2/3 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 4/9) (.f64 (pow.f64 eps 3) (cbrt.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 4/9) (pow.f64 eps 3)) (cbrt.f64 -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 -2/3) eps) (.f64 (cbrt.f64 4/9) (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 4/9) (.f64 eps eps)) (.f64 (cbrt.f64 -2/3) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps eps) (.f64 -2/3 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2/3 eps) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2/3 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 eps 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2/3 (pow.f64 eps 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -8/27 (pow.f64 (pow.f64 eps 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 -2/3) eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -8/27 (pow.f64 (pow.f64 eps 3) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) (.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 0) (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) (.f64 0 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))) (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))) (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 2/3) (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (+.f64 (.f64 -2/3 (.f64 eps eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (+.f64 -2 (.f64 -2/3 (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 -2 eps) 2/3) (-.f64 (.f64 (cbrt.f64 4/9) (.f64 eps eps)) (.f64 (cbrt.f64 (.f64 (.f64 -2 eps) -2/3)) eps))) (+.f64 (cbrt.f64 (.f64 -2 eps)) (.f64 (cbrt.f64 -2/3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (cbrt.f64 4/9) (.f64 eps eps)) (-.f64 (pow.f64 (.f64 -2 eps) 2/3) (.f64 (cbrt.f64 (.f64 (.f64 -2 eps) -2/3)) eps))) (+.f64 (.f64 (cbrt.f64 -2/3) eps) (cbrt.f64 (.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -2 eps)) (pow.f64 (.f64 -2 eps) 2/3) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 -2/3) eps) (.f64 (cbrt.f64 4/9) (.f64 eps eps)) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 -2 eps) 2/3) (cbrt.f64 (.f64 -2 eps)) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -8 eps)) (pow.f64 eps 2/3) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 eps (cbrt.f64 -2)) (cbrt.f64 4) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (.f64 (pow.f64 eps 2/3) -2) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 4) eps) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2/3 (.f64 eps eps)) eps (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 eps 3) (cbrt.f64 -2/3)) (cbrt.f64 4/9) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (.f64 -2/3 (.f64 eps eps)) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2/3) (.f64 (cbrt.f64 4/9) (pow.f64 eps 3)) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2/3 eps) (.f64 eps eps) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 eps eps) (.f64 -2/3 eps) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 4/9) (.f64 eps eps)) (.f64 (cbrt.f64 -2/3) eps) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) -2/3 (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (pow.f64 eps 3) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 eps (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps -2 (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 eps 2) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 2/3 (pow.f64 eps 3)) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -2/3 (pow.f64 eps 3)) (.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2 eps) 1 (.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2/3 (pow.f64 eps 3)) 1 (.f64 -2 eps))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 0 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 -2/3 (pow.f64 eps 3))) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2/3) (*.f64 (cbrt.f64 4/9) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (*.f64 eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 eps 3) (cbrt.f64 -2/3)) (cbrt.f64 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 -2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4/9) (*.f64 (pow.f64 eps 3) (cbrt.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4/9) (pow.f64 eps 3)) (cbrt.f64 -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -2/3) eps) (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 (cbrt.f64 -2/3) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (*.f64 -2/3 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 eps 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/27 (pow.f64 (pow.f64 eps 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -2/3) eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8/27 (pow.f64 (pow.f64 eps 3) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) (*.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 0) (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) (*.f64 0 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))) (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))) (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 2/3) (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (*.f64 -2/3 (*.f64 eps eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 -2 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -2 eps) 2/3) (-.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 (cbrt.f64 (*.f64 (*.f64 -2 eps) -2/3)) eps))) (+.f64 (cbrt.f64 (*.f64 -2 eps)) (*.f64 (cbrt.f64 -2/3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (-.f64 (pow.f64 (*.f64 -2 eps) 2/3) (*.f64 (cbrt.f64 (*.f64 (*.f64 -2 eps) -2/3)) eps))) (+.f64 (*.f64 (cbrt.f64 -2/3) eps) (cbrt.f64 (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 eps)) (pow.f64 (*.f64 -2 eps) 2/3) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 -2/3) eps) (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 -2 eps) 2/3) (cbrt.f64 (*.f64 -2 eps)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -8 eps)) (pow.f64 eps 2/3) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 -2)) (cbrt.f64 4) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (*.f64 (pow.f64 eps 2/3) -2) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 4) eps) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (*.f64 eps eps)) eps (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 eps 3) (cbrt.f64 -2/3)) (cbrt.f64 4/9) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 -2/3 (*.f64 eps eps)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2/3) (*.f64 (cbrt.f64 4/9) (pow.f64 eps 3)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 eps) (*.f64 eps eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (*.f64 -2/3 eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 (cbrt.f64 -2/3) eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps -2 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 eps 2) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 eps) 1 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1 (*.f64 -2 eps))))))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

75 → 73

Calls

Call 1

Inputs
(*.f64 -2 eps)
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))

Outputs
(*.f64 -2 eps)
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))

localize21.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	5.7b	(log.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)))
	0.0b	(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)
	0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
	0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))
✓	0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	0.0b	(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)
✓	5.7b	(log.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)))

Compiler

Compiled 47 to 36 computations (23.4% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)
1.0ms	eps	@	0	(log.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)))
0.0ms	eps	@	inf	(log.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)))
0.0ms	eps	@	-inf	(log.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)))
0.0ms	eps	@	inf	(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)

rewrite77.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

93×	`egg-rr`
93×	`egg-rr`
84×	`egg-rr`
19×	`egg-rr`

Counts

4 → 289

Calls

Call 1

Inputs
(log.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)))
(pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 0) (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (.f64 0 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2/3) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3) 0) (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3) (.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2) (+.f64 1 eps)) (.f64 (/.f64 eps (-.f64 -1 eps)) (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3)) (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3) (.f64 0 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2) (+.f64 1 eps)) (.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2) (/.f64 eps (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 4) 2) (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 -1 eps) 3) (/.f64 1 (pow.f64 (-.f64 -1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 eps) (pow.f64 (/.f64 (pow.f64 (-.f64 1 eps) 2/3) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (+.f64 1 eps) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2) (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 (-.f64 -1 eps) 2)) (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) (+.f64 2 1/3)) (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 eps) (/.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (pow.f64 (/.f64 (+.f64 -1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2) (+.f64 1 eps)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2/3) (pow.f64 (/.f64 (+.f64 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2/3)) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 -1 eps)) (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2/3)) (cbrt.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1 eps) (-.f64 1 eps)) (+.f64 1 eps)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))) 1) (pow.f64 (+.f64 1 eps) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 eps)) 1) (fma.f64 (+.f64 1 eps) eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) -1) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (fma.f64 eps (+.f64 -1 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 eps) (cbrt.f64 (+.f64 1 eps))) (neg.f64 (pow.f64 (+.f64 1 eps) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 (.f64 (fma.f64 (+.f64 1 eps) eps 1) (+.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 eps) (.f64 (-.f64 -1 eps) (neg.f64 eps))) (pow.f64 (-.f64 -1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 -1 eps) (.f64 (-.f64 -1 eps) eps)) (neg.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 eps) -1/3) (pow.f64 (+.f64 1 eps) 2/3)) (.f64 (pow.f64 (+.f64 1 eps) 2/3) (/.f64 eps (cbrt.f64 (+.f64 1 eps))))) (.f64 (pow.f64 (+.f64 1 eps) 2/3) (pow.f64 (+.f64 1 eps) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 -1 eps) (.f64 (+.f64 1 eps) (neg.f64 eps))) (neg.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps)))) (neg.f64 (pow.f64 (+.f64 1 eps) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 1 eps) (-.f64 1 eps))) (neg.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 (-.f64 -1 eps) 2))) (cbrt.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (+.f64 1 eps)) (+.f64 -1 (pow.f64 eps 3))) (neg.f64 (fma.f64 (+.f64 1 eps) eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 eps 3))) (/.f64 (pow.f64 (-.f64 1 eps) 2/3) (+.f64 1 eps))) (cbrt.f64 (fma.f64 (+.f64 1 eps) eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1 (pow.f64 eps 3)) (/.f64 1 (+.f64 1 eps))) (neg.f64 (fma.f64 (+.f64 1 eps) eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 eps))) (neg.f64 (fma.f64 (+.f64 1 eps) eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 -1 eps) (+.f64 1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 eps) -1/3) (cbrt.f64 (pow.f64 (+.f64 1 eps) -2)) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 eps) -1/3) (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (+.f64 1 eps) -1/3)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) -2)) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (-.f64 -1 eps)))))))

simplify253.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

337 → 236

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 1 (*.f64 -6 eps))
(+.f64 1 (+.f64 (.f64 18 (pow.f64 eps 2)) (.f64 -6 eps)))
(+.f64 (.f64 -38 (pow.f64 eps 3)) (+.f64 1 (+.f64 (.f64 18 (pow.f64 eps 2)) (*.f64 -6 eps))))
-1
(-.f64 (*.f64 6 (/.f64 1 eps)) 1)
(-.f64 (.f64 6 (/.f64 1 eps)) (+.f64 1 (.f64 18 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 38 (/.f64 1 (pow.f64 eps 3))) (.f64 6 (/.f64 1 eps))) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 6 (/.f64 1 eps)) 1)
(-.f64 (.f64 6 (/.f64 1 eps)) (+.f64 1 (.f64 18 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 38 (/.f64 1 (pow.f64 eps 3))) (.f64 6 (/.f64 1 eps))) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 eps 2)))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (/.f64 2 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (fma.f64 (pow.f64 eps -5) 2/5 (/.f64 2 eps))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (/.f64 2 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (fma.f64 (pow.f64 eps -5) 2/5 (/.f64 2 eps))))
1
(+.f64 1 (*.f64 -6 eps))
(fma.f64 eps -6 1)
(+.f64 1 (+.f64 (.f64 18 (pow.f64 eps 2)) (.f64 -6 eps)))
(+.f64 (fma.f64 eps -6 1) (.f64 18 (.f64 eps eps)))
(+.f64 (.f64 -38 (pow.f64 eps 3)) (+.f64 1 (+.f64 (.f64 18 (pow.f64 eps 2)) (*.f64 -6 eps))))
(+.f64 (fma.f64 -38 (pow.f64 eps 3) 1) (fma.f64 18 (.f64 eps eps) (.f64 -6 eps)))
-1
(-.f64 (*.f64 6 (/.f64 1 eps)) 1)
(+.f64 (/.f64 6 eps) -1)
(-.f64 (.f64 6 (/.f64 1 eps)) (+.f64 1 (.f64 18 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 6 eps) (fma.f64 (pow.f64 eps -2) 18 1))
(-.f64 (+.f64 (.f64 38 (/.f64 1 (pow.f64 eps 3))) (.f64 6 (/.f64 1 eps))) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 38 (pow.f64 eps -3) (/.f64 6 eps)) (fma.f64 (pow.f64 eps -2) 18 1))
-1
(-.f64 (*.f64 6 (/.f64 1 eps)) 1)
(+.f64 (/.f64 6 eps) -1)
(-.f64 (.f64 6 (/.f64 1 eps)) (+.f64 1 (.f64 18 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 6 eps) (fma.f64 (pow.f64 eps -2) 18 1))
(-.f64 (+.f64 (.f64 38 (/.f64 1 (pow.f64 eps 3))) (.f64 6 (/.f64 1 eps))) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 38 (pow.f64 eps -3) (/.f64 6 eps)) (fma.f64 (pow.f64 eps -2) 18 1))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 eps -2 (fma.f64 2 (*.f64 eps eps) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 eps -2 (fma.f64 2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) -2 1)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 2 (pow.f64 eps -2) 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 2 (pow.f64 eps -2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 2 (pow.f64 eps -2) 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 2 (pow.f64 eps -2) 1))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 eps -2 (fma.f64 2 (*.f64 eps eps) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 eps -2 (fma.f64 2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) -2 1)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 2 (pow.f64 eps -2) 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 2 (pow.f64 eps -2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 2 (pow.f64 eps -2) 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 2 (pow.f64 eps -2) 1))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.7b	(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))
	0.0b	(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))
	0.0b	(/.f64 1 (-.f64 -1 eps))
✓	0.0b	(/.f64 1 (-.f64 -1 eps))
✓	0.0b	(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))
✓	5.7b	(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(/.f64 1 (-.f64 -1 eps))
0.0ms	eps	@	0	(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))
0.0ms	eps	@	-inf	(/.f64 1 (-.f64 -1 eps))
0.0ms	eps	@	0	(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))
0.0ms	eps	@	inf	(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

126×	`egg-rr`
43×	`egg-rr`
19×	`egg-rr`

Counts

3 → 188

Calls

Call 1

Inputs
(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))
(/.f64 1 (-.f64 -1 eps))

Outputs
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Outputs

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eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 eps) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 (-.f64 -1 eps)) (+.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 -1 eps) (/.f64 -1 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 1 eps)) -1 (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 (+.f64 1 eps)) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2))) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2)) eps) (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (+.f64 1 eps)) eps (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (/.f64 (cbrt.f64 (*.f64 eps eps)) (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (/.f64 -1 (+.f64 1 eps)) (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 eps (-.f64 -1 eps))) (cbrt.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2)) (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 -1 eps)) 1 (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 eps))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2)) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 eps (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 eps) (-.f64 -1 eps)) (cbrt.f64 (*.f64 eps eps)) (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 eps (cbrt.f64 (-.f64 -1 eps))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2)) (/.f64 -1 (-.f64 -1 eps)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (+.f64 1 eps)) 0) (/.f64 -1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 1 eps)) (*.f64 (/.f64 -1 (+.f64 1 eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 -1 (+.f64 1 eps))) (/.f64 -1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (+.f64 1 eps)) (*.f64 0 (/.f64 -1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 1 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (pow.f64 eps 3))) (/.f64 1 (/.f64 1 (fma.f64 eps eps (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 (pow.f64 eps 3))) (/.f64 -1 (/.f64 1 (fma.f64 eps eps (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps)))) 1) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1 eps))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps)))) (cbrt.f64 (-.f64 -1 eps))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2))) (cbrt.f64 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2))) (cbrt.f64 (/.f64 -1 (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1 eps))) 2)) (/.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1 eps))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2)) (cbrt.f64 (/.f64 -1 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1 eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1 eps))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 eps))) -1) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2)) (cbrt.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2))) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 -1 (pow.f64 eps 3))) (/.f64 1 (fma.f64 eps eps (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 eps))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (+.f64 1 eps)) (+.f64 1 eps)) (pow.f64 (-.f64 -1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 eps) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 eps) 3) (neg.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1 eps)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1 eps) -3))))))

simplify201.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

224 → 229

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 eps 1)
(-.f64 (+.f64 eps (*.f64 -1 (pow.f64 eps 2))) 1)
(-.f64 (+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (pow.f64 eps 3))) 1)
(/.f64 -1 eps)
(-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps))
(-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(/.f64 -1 eps)
(-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps))
(-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (/.f64 2 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (fma.f64 (pow.f64 eps -3) 2/3 (fma.f64 (pow.f64 eps -5) 2/5 (/.f64 2 eps))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (/.f64 2 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (fma.f64 (pow.f64 eps -3) 2/3 (fma.f64 (pow.f64 eps -5) 2/5 (/.f64 2 eps))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 eps -2 (fma.f64 2 (*.f64 eps eps) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 eps -2 (fma.f64 (*.f64 eps eps) 2 (fma.f64 (pow.f64 eps 3) -2 1)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 (pow.f64 eps -2) 2 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 (pow.f64 eps -2) 2 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 (pow.f64 eps -2) 2 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 (pow.f64 eps -2) 2 1))
-1
(-.f64 eps 1)
(+.f64 eps -1)
(-.f64 (+.f64 eps (*.f64 -1 (pow.f64 eps 2))) 1)
(-.f64 (-.f64 eps (*.f64 eps eps)) 1)
(-.f64 (+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (pow.f64 eps 3))) 1)
(+.f64 (.f64 (.f64 eps eps) (+.f64 eps -1)) (+.f64 eps -1))
(/.f64 -1 eps)
(-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps))
(+.f64 (pow.f64 eps -2) (/.f64 -1 eps))
(-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (pow.f64 eps -2) (+.f64 (/.f64 1 eps) (pow.f64 eps -3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 (pow.f64 eps -4) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -3)))
(/.f64 -1 eps)
(-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps))
(+.f64 (pow.f64 eps -2) (/.f64 -1 eps))
(-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (pow.f64 eps -2) (+.f64 (/.f64 1 eps) (pow.f64 eps -3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 (pow.f64 eps -4) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -3)))

eval237.0ms (3.8%)

Compiler: Compiled 8956 to 7188 computations (19.7% saved)

prune68.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	535	3	538
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	537	6	543

Error

Counts

543 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.2b	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
✓	58.2b	(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))
✓	0.7b	(*.f64 -2 eps)
▶	58.2b	(log.f64 (.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps)))
▶	0.4b	(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))
▶	0.4b	(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))

Compiler

Compiled 69 to 52 computations (24.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 -2/3 (.f64 eps eps))
	0.0b	(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))
✓	0.0b	(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))
✓	0.2b	(.f64 -2/3 (.f64 eps eps))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))
1.0ms	eps	@	0	(.f64 -2/3 (.f64 eps eps))
1.0ms	eps	@	inf	(.f64 -2/3 (.f64 eps eps))
0.0ms	eps	@	0	(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))
0.0ms	eps	@	-inf	(.f64 -2/3 (.f64 eps eps))

rewrite43.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

65×	`egg-rr`
32×	`egg-rr`

Counts

2 → 97

Calls

Call 1

Inputs
(.f64 -2/3 (.f64 eps eps))
(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) 0) (*.f64 -2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (*.f64 eps eps)) (*.f64 (*.f64 -2/3 (*.f64 eps eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 -2/3 (*.f64 eps eps))) (*.f64 -2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (*.f64 eps eps)) (*.f64 0 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2/3) (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (pow.f64 eps 4)) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 -2/3 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2/3 eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (cbrt.f64 -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 eps 4)) -2/3) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 -2/3 eps) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 4/9)) (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps eps) (cbrt.f64 -2/3)) (cbrt.f64 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -8/27 (*.f64 eps eps))) (cbrt.f64 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4/9) (*.f64 (*.f64 eps eps) (cbrt.f64 -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps 4)) (cbrt.f64 (*.f64 -8/27 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (*.f64 eps eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/3 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/27 (pow.f64 eps 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8/27 (pow.f64 eps 6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 0) (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) (*.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps -2) (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))) (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) (*.f64 0 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 eps 3) -2/3) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 (*.f64 eps eps) -2/3 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 eps eps) -2/3 -2) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) -2/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 eps eps) -2/3 -2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) -2/3 -2) 2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 eps eps) -2/3 -2) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) -2/3 -2) 2)) eps) (cbrt.f64 (fma.f64 (*.f64 eps eps) -2/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) -2/3 -2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (fma.f64 (*.f64 eps eps) -2/3 -2) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (cbrt.f64 (*.f64 -8 eps)) (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (cbrt.f64 eps)) (cbrt.f64 (*.f64 -8 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 eps 6) -8/27 -8) 1) (/.f64 eps (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 eps 6) -8/27 -8) (cbrt.f64 (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps)))))) (/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (cbrt.f64 (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps)))))) (/.f64 (fma.f64 (pow.f64 eps 6) -8/27 -8) (pow.f64 (cbrt.f64 (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 2)) (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (cbrt.f64 (fma.f64 (*.f64 eps eps) -2/3 -2))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) -2/3 -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) -2/3 -2) 2)) (*.f64 eps (cbrt.f64 (fma.f64 (*.f64 eps eps) -2/3 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (fma.f64 (pow.f64 eps 6) -8/27 -8)) (/.f64 1 (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (fma.f64 (pow.f64 eps 6) -8/27 -8)) (cbrt.f64 (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps)))))) (pow.f64 (cbrt.f64 (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (fma.f64 (pow.f64 eps 6) -8/27 -8)) (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (neg.f64 (fma.f64 (pow.f64 eps 6) -8/27 -8))) (+.f64 -4 (*.f64 (*.f64 eps eps) (-.f64 4/3 (*.f64 (*.f64 eps eps) 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 eps 6) -8/27 -8)) eps) (+.f64 -4 (*.f64 (*.f64 eps eps) (-.f64 4/3 (*.f64 (*.f64 eps eps) 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 6) -8/27 -8)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) -2/3 -2) 2)) eps)) (cbrt.f64 (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps 6) -8/27 -8)) 1) (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 eps (fma.f64 (pow.f64 eps 6) -8/27 -8)) 1) (fma.f64 4/9 (pow.f64 eps 4) (-.f64 4 (*.f64 4/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps (fma.f64 (pow.f64 eps 6) -8/27 -8))) (+.f64 -4 (*.f64 (*.f64 eps eps) (-.f64 4/3 (*.f64 (*.f64 eps eps) 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps -2 (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 eps (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 -2/3) eps) (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (*.f64 eps eps)) eps (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps)))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 4/9)) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 -2/3 (*.f64 eps eps)) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 -2/3 (*.f64 eps eps))) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) -2/3 (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (pow.f64 eps 3) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (*.f64 -2/3 eps) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 4/9)) eps) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 eps) (*.f64 eps eps) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 (*.f64 eps eps) -8)) (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -8 eps)) (cbrt.f64 (*.f64 eps eps)) (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps -2)) (cbrt.f64 (*.f64 4 (*.f64 eps eps))) (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 -2)) (cbrt.f64 4) (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 4) eps) (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps -2) 1 (*.f64 (pow.f64 eps 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 eps 3) -2/3) (*.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps -2) (*.f64 (pow.f64 eps 3) -2/3))))))

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

121 → 102

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2/3 (pow.f64 eps 2))
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))

Outputs
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2/3 (pow.f64 eps 2))
(.f64 -2/3 (.f64 eps eps))
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(.f64 -2/3 (.f64 eps eps))
	0.1b	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
	0.0b	(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))
✓	0.0b	(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))
✓	0.1b	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
	0.2b	(.f64 -2/3 (.f64 eps eps))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
0.0ms	eps	@	inf	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
0.0ms	eps	@	0	(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))
0.0ms	eps	@	-inf	(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
0.0ms	eps	@	inf	(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

55×	`egg-rr`
32×	`egg-rr`

Counts

2 → 87

Calls

Call 1

Inputs
(.f64 (.f64 -2/3 (*.f64 eps eps)) eps)
(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 -2/3 (pow.f64 eps 3))) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 0 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (*.f64 eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 -2/3 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (*.f64 -2/3 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) (*.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 eps 4))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2/3) (*.f64 (cbrt.f64 4/9) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 eps 4))) eps) (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 -2/3 (*.f64 eps eps))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4/9) (pow.f64 eps 3)) (cbrt.f64 -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -2/3) eps) (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 (cbrt.f64 -2/3) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps)))) (cbrt.f64 (*.f64 4/9 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 eps 4))) (*.f64 eps (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 eps 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/27 (pow.f64 (pow.f64 eps 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -2/3) eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8/27 (pow.f64 (pow.f64 eps 3) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 0) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) (*.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) (*.f64 0 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 eps (*.f64 -2/3 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (*.f64 -2/3 eps) -2) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 eps (*.f64 -2/3 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 eps (*.f64 -2/3 eps) -2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (cbrt.f64 (*.f64 -8 eps)) (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (cbrt.f64 eps)) (cbrt.f64 (*.f64 -8 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))) (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 4 (*.f64 eps eps))) (-.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 (cbrt.f64 (*.f64 (*.f64 -2 eps) -2/3)) eps))) (+.f64 (cbrt.f64 (*.f64 -2 eps)) (*.f64 (cbrt.f64 -2/3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (-.f64 (cbrt.f64 (*.f64 4 (*.f64 eps eps))) (*.f64 (cbrt.f64 (*.f64 (*.f64 -2 eps) -2/3)) eps))) (+.f64 (*.f64 (cbrt.f64 -2/3) eps) (cbrt.f64 (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 2)) (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 -8 (*.f64 -8/27 (pow.f64 eps 6)))) (+.f64 4 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (-.f64 (*.f64 -2/3 (*.f64 eps eps)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (*.f64 -8/27 (pow.f64 eps 6))) eps) (+.f64 4 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (-.f64 (*.f64 -2/3 (*.f64 eps eps)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 eps)) (cbrt.f64 (*.f64 4 (*.f64 eps eps))) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 -2/3 (*.f64 eps eps)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (*.f64 eps eps)) eps (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps -2 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 -2/3) eps) (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (*.f64 -2/3 eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 4/9) (*.f64 eps eps)) (*.f64 (cbrt.f64 -2/3) eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 eps) (*.f64 eps eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2/3 (*.f64 eps eps)) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps)))) (cbrt.f64 (*.f64 4/9 (pow.f64 eps 4))) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2/3 (*.f64 eps eps))) (*.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 eps 4))) eps) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 -2/3 (*.f64 eps eps))) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2/3) (*.f64 (cbrt.f64 4/9) (pow.f64 eps 3)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 4) eps) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 2 eps) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 (*.f64 eps eps) -8)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -8 eps)) (cbrt.f64 (*.f64 eps eps)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (*.f64 eps eps))) (cbrt.f64 (*.f64 -2 eps)) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 -2)) (cbrt.f64 4) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1 (*.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 eps) 1 (*.f64 -2/3 (pow.f64 eps 3)))))))

simplify137.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

111 → 88

Calls

Call 1

Inputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))

Outputs
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2/3 (pow.f64 eps 3))
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))

localize36.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	5.7b	(log.f64 (.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps)))
	0.0b	(.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps))
	0.0b	(/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (.f64 (+.f64 1 eps) (-.f64 -1 eps)))
	0.0b	(*.f64 (+.f64 1 eps) (-.f64 -1 eps))
✓	0.0b	(*.f64 (+.f64 1 eps) (-.f64 -1 eps))
✓	0.0b	(/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (.f64 (+.f64 1 eps) (-.f64 -1 eps)))
✓	0.0b	(.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps))
✓	5.7b	(log.f64 (.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps)))

Compiler

Compiled 95 to 72 computations (24.2% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(log.f64 (.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps)))
0.0ms	eps	@	0	(*.f64 (+.f64 1 eps) (-.f64 -1 eps))
0.0ms	eps	@	-inf	(/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (.f64 (+.f64 1 eps) (-.f64 -1 eps)))
0.0ms	eps	@	inf	(*.f64 (+.f64 1 eps) (-.f64 -1 eps))
0.0ms	eps	@	-inf	(log.f64 (.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps)))

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

76×	`egg-rr`
73×	`egg-rr`
59×	`egg-rr`
20×	`egg-rr`

Counts

4 → 228

Calls

Call 1

Inputs
(log.f64 (.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps)))
(.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps))
(/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (.f64 (+.f64 1 eps) (-.f64 -1 eps)))
(*.f64 (+.f64 1 eps) (-.f64 -1 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 0) (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (.f64 0 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))
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((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) (-.f64 3 2))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 -1 eps) 3) (pow.f64 (-.f64 -1 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps 3)) (.f64 (+.f64 1 (.f64 eps (+.f64 -1 eps))) (neg.f64 (pow.f64 (-.f64 -1 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 eps) (pow.f64 (-.f64 -1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (.f64 (+.f64 1 (.f64 eps (+.f64 -1 eps))) (neg.f64 (pow.f64 (-.f64 -1 eps) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) -2)) (cbrt.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) (-.f64 3 2)))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (.f64 (+.f64 1 (pow.f64 eps 3)) (neg.f64 (pow.f64 (-.f64 -1 eps) -2)))) (+.f64 1 (.f64 eps (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 eps 3)) (neg.f64 (.f64 (+.f64 1 (.f64 eps (+.f64 -1 eps))) (neg.f64 (pow.f64 (-.f64 -1 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 1 (pow.f64 eps 3)) (neg.f64 (pow.f64 (-.f64 -1 eps) -2)))) (+.f64 (.f64 eps (-.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 eps))) (cbrt.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 eps) 3) (neg.f64 (pow.f64 (-.f64 -1 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) (-.f64 3 2)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 eps))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1 eps)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 eps) 3) (neg.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 eps) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1 eps) -3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 eps) (.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (-.f64 -1 eps)) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (fma.f64 eps eps eps)) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 eps (-.f64 -1 eps)) (neg.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (neg.f64 eps) (.f64 eps (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 eps) (-.f64 -1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 eps) (.f64 -1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 eps) (.f64 (fma.f64 eps eps eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 eps) (.f64 (.f64 eps (-.f64 -1 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 eps (-.f64 -1 eps)) 1) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 eps (-.f64 -1 eps)) (/.f64 1 (+.f64 (.f64 eps (-.f64 1 eps)) -1))) (/.f64 (pow.f64 eps 3) (+.f64 1 (.f64 eps (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (fma.f64 eps eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 eps (-.f64 -1 eps)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (.f64 eps (-.f64 1 eps)) -1)) (-.f64 (/.f64 (pow.f64 eps 3) (+.f64 1 (.f64 eps (+.f64 -1 eps)))) (.f64 eps (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 eps (.f64 eps (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 eps) (fma.f64 eps eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 -1 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (-.f64 -1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 eps) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 eps) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4)) (cbrt.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1 eps) (cbrt.f64 (+.f64 1 eps))) (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 -1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) (+.f64 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 (-.f64 -1 eps)) (+.f64 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) (+.f64 2 3)) (cbrt.f64 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)) (.f64 (-.f64 -1 eps) (cbrt.f64 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) (+.f64 2 3)) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 -1 eps)) (-.f64 0 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) (+.f64 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)) (+.f64 0 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 2)) (+.f64 0 (.f64 (-.f64 -1 eps) (cbrt.f64 (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (-.f64 -1 (pow.f64 eps 3)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (.f64 eps (+.f64 -1 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 eps) (-.f64 -1 (pow.f64 eps 3))) (/.f64 -1 (+.f64 (.f64 eps (-.f64 1 eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (-.f64 -1 eps) 4)) 0)) (+.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (pow.f64 (-.f64 -1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 -1 eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 -1 (pow.f64 eps 3)) 2)) (pow.f64 (+.f64 1 (.f64 eps (+.f64 -1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 -1 (pow.f64 eps 3)) 2) (neg.f64 (pow.f64 (+.f64 1 (.f64 eps (+.f64 -1 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 eps) (-.f64 -1 (pow.f64 eps 3))) (+.f64 (.f64 eps (-.f64 1 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 eps) (-.f64 -1 (pow.f64 eps 3))) (+.f64 1 (.f64 eps (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 -1 eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (.f64 (-.f64 -1 eps) (-.f64 -1 (pow.f64 eps 3)))) (+.f64 1 (.f64 eps (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 2))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (-.f64 -1 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 -1 eps) 6)) 1))))))

simplify250.0ms (4%)

Algorithm

1×	egg-herbie

Counts

276 → 277

Calls

Call 1

Inputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 eps 1)
(-.f64 (+.f64 eps (*.f64 -1 (pow.f64 eps 2))) 1)
(-.f64 (+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (pow.f64 eps 3))) 1)
(/.f64 -1 eps)
(-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps))
(-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(/.f64 -1 eps)
(-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps))
(-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
-1
(-.f64 (*.f64 -2 eps) 1)
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(*.f64 -1 (pow.f64 eps 2))
(+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2)))
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(*.f64 -1 (pow.f64 eps 2))
(+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2)))
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)

Outputs
(*.f64 -2 eps)
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 3) -2/3 (*.f64 -2 eps))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 -2/5 (pow.f64 eps 5)) (+.f64 (.f64 -2/7 (pow.f64 eps 7)) (.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (/.f64 2 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (fma.f64 (pow.f64 eps -5) 2/5 (/.f64 2 eps))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (/.f64 2 eps)))
(-.f64 (log.f64 -1) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (fma.f64 2/3 (pow.f64 eps -3) (fma.f64 (pow.f64 eps -5) 2/5 (/.f64 2 eps))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 eps -2 (fma.f64 2 (*.f64 eps eps) 1))
(+.f64 (.f64 -2 eps) (+.f64 (.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 eps -2 (fma.f64 2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 3) -2 1)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 (pow.f64 eps -2) 2 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 (pow.f64 eps -2) 2 1))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(-.f64 (.f64 2 (/.f64 1 eps)) (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (fma.f64 (pow.f64 eps -2) 2 1))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 eps 3))) (.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (fma.f64 2 (pow.f64 eps -3) (/.f64 2 eps)) (fma.f64 (pow.f64 eps -2) 2 1))
-1
(-.f64 eps 1)
(+.f64 eps -1)
(-.f64 (+.f64 eps (*.f64 -1 (pow.f64 eps 2))) 1)
(-.f64 (-.f64 eps (*.f64 eps eps)) 1)
(-.f64 (+.f64 eps (+.f64 (*.f64 -1 (pow.f64 eps 2)) (pow.f64 eps 3))) 1)
(+.f64 (.f64 (.f64 eps eps) (+.f64 eps -1)) (+.f64 eps -1))
(/.f64 -1 eps)
(-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps))
(+.f64 (pow.f64 eps -2) (/.f64 -1 eps))
(-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (pow.f64 eps -2) (+.f64 (/.f64 1 eps) (pow.f64 eps -3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 (pow.f64 eps -4) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -3)))
(/.f64 -1 eps)
(-.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 eps))
(+.f64 (pow.f64 eps -2) (/.f64 -1 eps))
(-.f64 (/.f64 1 (pow.f64 eps 2)) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (pow.f64 eps -2) (+.f64 (/.f64 1 eps) (pow.f64 eps -3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))) (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))))
(-.f64 (+.f64 (pow.f64 eps -4) (pow.f64 eps -2)) (+.f64 (/.f64 1 eps) (pow.f64 eps -3)))
-1
(-.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps -1)
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(+.f64 (fma.f64 -2 eps (neg.f64 (*.f64 eps eps))) -1)
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(+.f64 (fma.f64 -2 eps (neg.f64 (*.f64 eps eps))) -1)
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2)))
(fma.f64 -2 eps (neg.f64 (*.f64 eps eps)))
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(+.f64 (fma.f64 -2 eps (neg.f64 (*.f64 eps eps))) -1)
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(+.f64 (fma.f64 -2 eps (neg.f64 (*.f64 eps eps))) -1)
(*.f64 -1 (pow.f64 eps 2))
(neg.f64 (*.f64 eps eps))
(+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2)))
(fma.f64 -2 eps (neg.f64 (*.f64 eps eps)))
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(+.f64 (fma.f64 -2 eps (neg.f64 (*.f64 eps eps))) -1)
(-.f64 (+.f64 (.f64 -2 eps) (.f64 -1 (pow.f64 eps 2))) 1)
(+.f64 (fma.f64 -2 eps (neg.f64 (*.f64 eps eps))) -1)

eval212.0ms (3.4%)

Compiler: Compiled 8254 to 6186 computations (25.1% saved)

prune63.0ms (1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	500	0	500
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	500	6	506

Error

Counts

506 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.2b	(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
✓	58.2b	(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))
✓	0.7b	(*.f64 -2 eps)
✓	58.2b	(log.f64 (.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps)))
✓	0.4b	(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))
✓	0.4b	(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))

Compiler

Compiled 69 to 52 computations (24.6% saved)

regimes19.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 -2 eps)
(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))
(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))
(log.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (.f64 -2 eps) (.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))
(log.f64 (.f64 (/.f64 (-.f64 (.f64 0 (-.f64 -1 eps)) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps))) (+.f64 -1 eps)))
(log.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)) 3)))

Outputs
(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))

Calls

4 calls:

6.0ms	eps
3.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
3.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Results

Error	Segments	Branch
0.4b	1	`eps`
0.4b	1	`(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))`
0.4b	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`
0.4b	1	`(/.f64 (-.f64 1 eps) (+.f64 1 eps))`

Compiler

Compiled 119 to 88 computations (26.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.3b remaining (-74.9%)

Threshold costs -0.3b (-74.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 -2 eps)
(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))

Outputs
(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))

Calls

1 calls:

3.0ms

eps

Results

Error	Segments	Branch
0.4b	1	`eps`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Stop Event

1×

done

Calls

Call 1

Inputs
(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))
(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))
(*.f64 -2 eps)

Outputs
(+.f64 (.f64 -2 eps) (.f64 (.f64 -2/3 (.f64 eps eps)) eps))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(.f64 eps (+.f64 -2 (.f64 -2/3 (*.f64 eps eps))))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(*.f64 -2 eps)

Compiler

Compiled 26 to 18 computations (30.8% saved)

soundness0.0ms (0%)

end24.0ms (0.4%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

Details

analyze4.0ms (0.1%)

sample3.6s (58.1%)

preprocess91.0ms (1.5%)

simplify32.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite47.0ms (0.8%)

simplify138.0ms (2.2%)

eval65.0ms (1.1%)

prune22.0ms (0.4%)

localize11.0ms (0.2%)

series3.0ms (0.1%)

rewrite48.0ms (0.8%)

simplify63.0ms (1%)

localize21.0ms (0.3%)

series5.0ms (0.1%)

rewrite77.0ms (1.2%)

simplify253.0ms (4.1%)

localize3.0ms (0%)

localize16.0ms (0.3%)

series3.0ms (0.1%)

rewrite60.0ms (1%)

simplify201.0ms (3.2%)

eval237.0ms (3.8%)

prune68.0ms (1.1%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite43.0ms (0.7%)

simplify129.0ms (2.1%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite44.0ms (0.7%)

simplify137.0ms (2.2%)

localize36.0ms (0.6%)

series4.0ms (0.1%)

rewrite74.0ms (1.2%)

simplify250.0ms (4%)

eval212.0ms (3.4%)

prune63.0ms (1%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

simplify42.0ms (0.7%)

soundness0.0ms (0%)

end24.0ms (0.4%)

Profiling