Details

analyze340.0ms (8.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.3s (32.1%)

Results

1.1s	7945×	body	128	valid
115.0ms	836×	body	128	invalid
83.0ms	311×	body	256	valid

Compiler

Compiled 86 to 62 computations (27.9% saved)

preprocess42.0ms (1%)

Algorithm

2×	egg-herbie

Rules

801×	`fma-def_binary64`
685×	`div-sub_binary64`
295×	`fma-neg_binary64`
210×	`associate-/l*_binary64`
209×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	99	88
2	220	88
3	445	88
4	763	88
5	1256	88
6	2230	88
7	4450	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))) a) (*.f64 b 2))
(.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) (/.f64 -1/2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (.f64 4 c))))) (.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 c 2))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))) (/.f64 -1/2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (*.f64 a 2))
(.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (*.f64 c c)))) (/.f64 -1/2 a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify28.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg_binary64`
619×	`times-frac_binary64`
367×	`fma-def_binary64`
242×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	72	22
3	163	22
4	267	22
5	436	22
6	747	22
7	1335	22
8	2689	22
9	4086	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 a 2))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a) -1/2)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 -1/2 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

28.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
▶	28.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	28.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

series118.0ms (2.8%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
9.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
7.0ms	c	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
7.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
6.0ms	c	@	-inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

rewrite73.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`log1p-udef_binary64`
173×	`add-sqr-sqrt_binary64`
167×	`*-un-lft-identity_binary64`
167×	`pow1_binary64`
162×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	342	62
2	4911	62

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) (/.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) 2) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2)) (/.f64 1 (fma.f64 b b (+.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c)))) (/.f64 1 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (+.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2)) (fma.f64 b b (+.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2)) (+.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (-.f64 (.f64 b b) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 -4 (.f64 a c))))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))) 2) (cbrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (/.f64 1/2 a))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4) (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 4 (.f64 a c)) 2))) (sqrt.f64 (fma.f64 b b (.f64 4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 64 (pow.f64 (.f64 a c) 3)))) (sqrt.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 4 (.f64 a c)) (fma.f64 b b (.f64 4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b b (.f64 -4 (*.f64 a c))))))))))

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
467×	`associate-/l*_binary64`
428×	`fma-def_binary64`
421×	`associate-/r*_binary64`
142×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	402	2164
2	1405	2078

Stop Event

1×	node limit

Counts

254 → 232

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(*.f64 -2 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) (*.f64 2 b))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (*.f64 2 b))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))))
(.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) a))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a)) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))) (.f64 1/2 (/.f64 b a)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 2) (.f64 a (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))))) (.f64 1/2 (/.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) a))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 4) (.f64 a (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3)))) (.f64 1/2 (/.f64 b a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 b a))
(-.f64 (/.f64 c b) (/.f64 b a))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)) (/.f64 b a))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b))))
(neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(pow.f64 b 2)
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(-.f64 (pow.f64 b 2) (.f64 4 (.f64 c a)))
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a)))) 3))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -1 b)
(-.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))) b)
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) b)
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
b
(-.f64 b (.f64 2 (/.f64 (.f64 c a) b)))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))

Outputs
(sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))
(sqrt.f64 (.f64 (.f64 c a) -4))
(sqrt.f64 (.f64 c (.f64 a -4)))
(-.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) b)
(-.f64 (sqrt.f64 (.f64 (.f64 c a) -4)) b)
(-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (*.f64 c a))))) b)
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -4))) (sqrt.f64 (.f64 (*.f64 c a) -4))) b)
(fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -4)))) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
(fma.f64 1/2 (.f64 (/.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))))) (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a))))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 4 (.f64 c a)))) 3))) b))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 (.f64 c a) -4))) (sqrt.f64 (.f64 (.f64 c a) -4))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 (*.f64 c a) -4)) 3)) b))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 b b) (sqrt.f64 (.f64 c (.f64 a -4)))) (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) 3)) b))
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b
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b
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b
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(+.f64 b (.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))))
(fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))) b)
(-.f64 b (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(-.f64 b (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(-.f64 b (fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))) (/.f64 (.f64 (.f64 4 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))) b) (*.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -4))

prune134.0ms (3.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	227	5	232
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	228	6	234

Error

0.7b

Counts

234 → 6

Alt Table

Status	Error	Program
	6.4b	(/.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (.f64 2 a))
	6.5b	(/.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 2 a))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.4b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) (.f64 2 a))
	28.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (*.f64 2 a))
▶	6.3b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

Compiler

Compiled 6228 to 3639 computations (41.6% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))
✓	0.3b	(/.f64 (*.f64 c c) (pow.f64 b 3))
✓	0.3b	(/.f64 (pow.f64 b 5) (pow.f64 c 3))
✓	0.3b	(/.f64 (pow.f64 a 3) (pow.f64 b 7))

series183.0ms (4.4%)

Counts

4 → 60

Calls

27 calls:

Time	Variable		Point	Expression
12.0ms	a	@	-inf	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))
11.0ms	a	@	0	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))
11.0ms	c	@	0	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))
10.0ms	a	@	inf	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))
10.0ms	c	@	inf	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))

rewrite34.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

195×	`add-sqr-sqrt_binary64`
191×	`pow1_binary64`
189×	`add-log-exp_binary64`
189×	`log1p-expm1-u_binary64`
189×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	433	46

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

Inputs
(/.f64 (pow.f64 a 3) (pow.f64 b 7))
(/.f64 (pow.f64 b 5) (pow.f64 c 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 (.f64 a a) (pow.f64 b -7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 3) (pow.f64 b -7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 a 3) (pow.f64 b -7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a a) (.f64 a (pow.f64 b -7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (cbrt.f64 (pow.f64 b -7))) (pow.f64 (.f64 a (cbrt.f64 (pow.f64 b -7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a (cbrt.f64 (pow.f64 b -7))) 2) (.f64 a (cbrt.f64 (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 a 3/2) (pow.f64 b 7/2)) (/.f64 (pow.f64 a 3/2) (pow.f64 b 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 a 3)) (/.f64 1 (neg.f64 (pow.f64 b 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -7) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 3/2) (.f64 (pow.f64 a 3/2) (pow.f64 b -7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a 1) (/.f64 (.f64 a a) (pow.f64 b 7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a a) 1) (/.f64 a (pow.f64 b 7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 a 3/2) 1) (/.f64 (pow.f64 a 3/2) (pow.f64 b 7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (cbrt.f64 (pow.f64 b 14))) (/.f64 (.f64 a a) (cbrt.f64 (pow.f64 b 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 b 14))) (/.f64 (pow.f64 a 3) (cbrt.f64 (pow.f64 b 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a a) (cbrt.f64 (pow.f64 b 14))) (.f64 a (cbrt.f64 (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 a 3/2) (cbrt.f64 (pow.f64 b 14))) (/.f64 (pow.f64 a 3/2) (cbrt.f64 (pow.f64 b 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (pow.f64 b 7/2)) (/.f64 (.f64 a a) (pow.f64 b 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a a) (pow.f64 b 7/2)) (/.f64 a (pow.f64 b 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 b 7/2)) (/.f64 (pow.f64 a 3) (pow.f64 b 7/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (cbrt.f64 (pow.f64 b -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3/2) (pow.f64 b 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 a 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 a 3) (neg.f64 (pow.f64 b 7))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) (pow.f64 b -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (pow.f64 b 7) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 b 5) (pow.f64 c -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b 5) (pow.f64 c -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 b 5) (pow.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 b 5)) c) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 b 5)) c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 b 5)) c) 2) (/.f64 (cbrt.f64 (pow.f64 b 5)) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 b 10)) (.f64 (cbrt.f64 (pow.f64 b 5)) (pow.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 b 5/2) (pow.f64 c 3/2)) (/.f64 (pow.f64 b 5/2) (pow.f64 c 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 b 5)) (/.f64 1 (neg.f64 (pow.f64 c 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c -3) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b 5/2) (.f64 (pow.f64 b 5/2) (pow.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 c) (/.f64 (pow.f64 b 5) (.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 b 10)) c) (/.f64 (cbrt.f64 (pow.f64 b 5)) (.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 b 5/2) c) (/.f64 (pow.f64 b 5/2) (.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 b 5/2) (.f64 c c)) (/.f64 (pow.f64 b 5/2) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 c c)) (/.f64 (pow.f64 b 5) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 b 10)) (.f64 c c)) (/.f64 (cbrt.f64 (pow.f64 b 5)) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 b 10)) 1) (/.f64 (cbrt.f64 (pow.f64 b 5)) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 b 5/2) 1) (/.f64 (pow.f64 b 5/2) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 c 3/2)) (/.f64 (pow.f64 b 5) (pow.f64 c 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 b 10)) (pow.f64 c 3/2)) (/.f64 (cbrt.f64 (pow.f64 b 5)) (pow.f64 c 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 b 5) (pow.f64 c -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 b 5) (pow.f64 c -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (pow.f64 b 5)) c) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 5/2) (pow.f64 c 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 b 5) (neg.f64 (pow.f64 c 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 b 10) (pow.f64 c 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 b 5)) (pow.f64 c -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 b 5) (pow.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 b 5) (pow.f64 c -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 b 5) 3) (.f64 (pow.f64 c 8) c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 b 5) (pow.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 b 5) (pow.f64 c -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 b 5) (pow.f64 c -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 b 5) (pow.f64 c -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 c c) (pow.f64 b -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (/.f64 1 (/.f64 (pow.f64 b 3) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 c (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c c) (pow.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 c c) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 c 4)) (.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) (cbrt.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 b 3/2)) (/.f64 c (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (neg.f64 c)) (/.f64 1 (neg.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -3) (.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c 1) (/.f64 c (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c b) (/.f64 c (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (.f64 b b)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b) (/.f64 (.f64 c c) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) b) (/.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 b 3)) c)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) 1) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b b)) (/.f64 (.f64 c c) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b)) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 b 3/2)) (/.f64 (.f64 c c) (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 b 3/2)) (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 c c) (pow.f64 b -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 c c) (pow.f64 b -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (pow.f64 b 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 c c) (neg.f64 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) c) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 c c) (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 c c) (pow.f64 b -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 6) (pow.f64 (pow.f64 b 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 c c) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 c c) (pow.f64 b -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 c c) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 c c) (pow.f64 b -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 a 3) (pow.f64 c 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4))) (neg.f64 (pow.f64 b 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) 1) (pow.f64 b 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (cbrt.f64 (pow.f64 b 14))) (cbrt.f64 (pow.f64 b 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7/2)) (pow.f64 b 7/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 a 3)) (pow.f64 c 4)) (neg.f64 (pow.f64 b 7)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 c 4) 1) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 c 4) (neg.f64 (pow.f64 a 3))) (neg.f64 (pow.f64 b 7)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 a (cbrt.f64 (pow.f64 b -7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 c c) (/.f64 (pow.f64 a 3/2) (pow.f64 b 7/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 c 8) (/.f64 (pow.f64 a 6) (pow.f64 b 14))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 c 4)) (.f64 (pow.f64 a 3) (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) 3) (pow.f64 (pow.f64 c 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (*.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4))))))))

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac_binary64`
596×	`associate-/l*_binary64`
325×	`associate-l_binary64`
309×	`associate-/r*_binary64`
265×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	816
1	42	816
2	125	816
3	577	816
4	4994	816

Stop Event

1×	node limit

Counts

195 → 138

Calls

Call 1

Inputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))

Outputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))
(/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))

prune189.0ms (4.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	137	7	144

Error

0.7b

Counts

144 → 7

Alt Table

Status	Error	Program
	6.7b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4)))) 1) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
▶	6.4b	(/.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (.f64 2 a))
	6.5b	(/.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 2 a))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.4b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) (.f64 2 a))
	28.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (*.f64 2 a))
✓	6.3b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

Compiler

Compiled 6359 to 3922 computations (38.3% saved)

localize28.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 b 3) (*.f64 c a))
	0.3b	(/.f64 (pow.f64 b 5) (pow.f64 c 3))
✓	0.4b	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
✓	0.4b	(/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))

series166.0ms (4%)

Counts

3 → 72

Calls

27 calls:

Time	Variable		Point	Expression
11.0ms	c	@	0	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
11.0ms	a	@	-inf	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
10.0ms	c	@	-inf	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
10.0ms	c	@	inf	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
9.0ms	a	@	inf	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

177×	`prod-diff_binary64`
164×	`add-sqr-sqrt_binary64`
161×	`pow1_binary64`
157×	`times-frac_binary64`
157×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	352	38
2	4813	38

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

Inputs
(/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))
(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
(/.f64 (pow.f64 b 3) (*.f64 c a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 a (/.f64 (*.f64 c a) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 c (/.f64 (*.f64 c a) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (/.f64 (*.f64 c a) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3)) 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(pow.f64 a 3) (*.f64 (pow.f64 b 5) (neg.f64 (pow.f64 c -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 a 6) (/.f64 (pow.f64 b 10) (pow.f64 c 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 a (/.f64 (cbrt.f64 (pow.f64 b 5)) c)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 a (/.f64 (cbrt.f64 (pow.f64 b 5)) c)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 a (/.f64 (cbrt.f64 (pow.f64 b 5)) c)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (*.f64 (pow.f64 b 5) (pow.f64 c -3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 a (/.f64 (cbrt.f64 (pow.f64 b 5)) c)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a (/.f64 (cbrt.f64 (pow.f64 b 5)) c)) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 a (/.f64 (cbrt.f64 (pow.f64 b 5)) c)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 a (/.f64 (cbrt.f64 (pow.f64 b 5)) c)) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 b 3) (*.f64 c a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (*.f64 b b) (/.f64 1 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 3) (/.f64 1 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 3) (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 b 3) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 b (/.f64 1 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (*.f64 c a))) (pow.f64 (/.f64 b (cbrt.f64 (*.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (cbrt.f64 (*.f64 c a))) 2) (/.f64 b (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 3/2) (sqrt.f64 (*.f64 c a))) (/.f64 (pow.f64 b 3/2) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 b 3)) (/.f64 1 (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 c a)) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 3/2) (*.f64 (pow.f64 b 3/2) (/.f64 1 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 3) c) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 (*.f64 b b) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b b) c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b b) 1) (/.f64 b (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b c) (/.f64 (*.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 3/2) 1) (/.f64 (pow.f64 b 3/2) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 3/2) c) (/.f64 (pow.f64 b 3/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (/.f64 (pow.f64 b 3) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b b) a) (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 (*.f64 b b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 3/2) a) (/.f64 (pow.f64 b 3/2) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (pow.f64 b 3) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (/.f64 (*.f64 b b) (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (/.f64 (pow.f64 b 3) (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (/.f64 b (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 b 3/2) (pow.f64 (cbrt.f64 (*.f64 c a)) 2)) (/.f64 (pow.f64 b 3/2) (cbrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b b) (sqrt.f64 (*.f64 c a))) (/.f64 b (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 c a))) (/.f64 (pow.f64 b 3) (sqrt.f64 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (*.f64 c a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 b 3) (*.f64 c a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (cbrt.f64 (*.f64 c a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3/2) (sqrt.f64 (*.f64 c a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c a) (pow.f64 b 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 b 3) (*.f64 c (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 b 6) (pow.f64 (*.f64 c a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 b 3) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 b 3) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 b 3) (*.f64 c a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (*.f64 c a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 b 3) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 b 3) (*.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 b 3) (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 b 3) (*.f64 c a))))))))

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-/r*_binary64`
578×	`associate-l_binary64`
511×	`associate-r_binary64`
355×	`associate-/l/_binary64`
318×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	1152
1	51	1152
2	179	1152
3	1056	1152

Stop Event

1×	node limit

Counts

223 → 154

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))

Outputs
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
(/.f64 (.f64 c (.f64 a (*.f64 c a))) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
(.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))
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(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))
(*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))
(*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))

prune299.0ms (7.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	189	7	196

Error

0.7b

Counts

196 → 7

Alt Table

Status	Error	Program
	6.7b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4)))) 1) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
✓	6.4b	(/.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (.f64 2 a))
▶	6.5b	(/.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 2 a))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.4b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) (.f64 2 a))
	28.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (*.f64 2 a))
✓	6.3b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

Compiler

Compiled 10475 to 6700 computations (36% saved)

localize30.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
✓	0.3b	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
✓	0.4b	(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
✓	0.4b	(*.f64 (pow.f64 c 2) (pow.f64 a 2))

series240.0ms (5.8%)

Counts

4 → 0

Calls

33 calls:

Time	Variable		Point	Expression
13.0ms	a	@	inf	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
12.0ms	a	@	0	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
12.0ms	c	@	inf	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
11.0ms	a	@	-inf	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
11.0ms	a	@	-inf	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))

rewrite32.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

243×	`add-sqr-sqrt_binary64`
241×	`pow1_binary64`
235×	`add-log-exp_binary64`
235×	`log1p-expm1-u_binary64`
235×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	46
1	545	46

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

Inputs
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 c a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 c a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (.f64 c a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a c) 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 c a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 c a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 c a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 c a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 c a) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))) 2) (cbrt.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (pow.f64 (.f64 c a) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (.f64 c a) 2)) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))) 2) (cbrt.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 5) (pow.f64 (.f64 c a) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (.f64 c a) 3)) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))) 2) (cbrt.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))) (sqrt.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 7) (pow.f64 (.f64 a c) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (.f64 a c) 4)) (pow.f64 b -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7))))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

66 → 66

Calls

Call 1

Inputs

Outputs

prune109.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	66	7	73

Error

0.7b

Counts

73 → 7

Alt Table

Status	Error	Program
	6.8b	(/.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b -7)))) 1)) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (.f64 2 a))
	6.7b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 a 3) (pow.f64 b -7)) (pow.f64 c 4)))) 1) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
✓	6.4b	(/.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (.f64 2 a))
	28.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.4b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 -4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 a c)))))) (.f64 2 a))
	28.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (*.f64 2 a))
✓	6.3b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))

Compiler

Compiled 3930 to 2771 computations (29.5% saved)

regimes330.0ms (7.9%)

Accuracy

Total 4.6b remaining (84.8%)

Threshold costs 0b (0%)

Counts

49 → 2

Compiler

Compiled 8436 to 6214 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))

Steps

Iters	Point		Range
-600.0	∈ [	-605.1485409220139	,	-509.54048854003673	]

Compiler

Compiled 20 to 14 computations (30% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	129
1	74	127
2	100	127
3	113	127
4	121	127
5	123	127

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) -600) (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c)))))) (*.f64 2 a)) (-.f64 (*.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))))

Outputs

(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)) -600) (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c)))))) (*.f64 2 a)) (-.f64 (*.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))))

(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2)) -600) (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c)))))) (*.f64 a 2)) (-.f64 (*.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))))

(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2)) -600) (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c))) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 a c)))))) (*.f64 a 2)) (-.f64 (*.f64 -2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))))

end207.0ms (5%)

Stop Event

1×

fuel

Compiler

Compiled 445 to 299 computations (32.8% saved)

Details

analyze340.0ms (8.2%)

sample1.3s (32.1%)

preprocess42.0ms (1%)

simplify28.0ms (0.7%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

series118.0ms (2.8%)

rewrite73.0ms (1.8%)

simplify47.0ms (1.1%)

prune134.0ms (3.2%)

localize23.0ms (0.5%)

series183.0ms (4.4%)

rewrite34.0ms (0.8%)

simplify43.0ms (1%)

prune189.0ms (4.5%)

localize28.0ms (0.7%)

series166.0ms (4%)

rewrite71.0ms (1.7%)

simplify33.0ms (0.8%)

prune299.0ms (7.2%)

localize30.0ms (0.7%)

series240.0ms (5.8%)

rewrite32.0ms (0.8%)

simplify6.0ms (0.1%)

prune109.0ms (2.6%)

regimes330.0ms (7.9%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end207.0ms (5%)

Profiling