Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample666.0ms (66.8%)

Results

631.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (+.f64 x 16) 116)

Outputs
(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)

Outputs
(/.f64 (+.f64 x 16) 116)

eval0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (+.f64 x 16) 116)
0.0ms	x	@	-inf	(/.f64 (+.f64 x 16) 116)
0.0ms	x	@	0	(/.f64 (+.f64 x 16) 116)

rewrite54.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	141	7
2	1742	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (+.f64 x 16) 1/116)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 x 16) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) (cbrt.f64 (.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (.f64 (cbrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 16)) (.f64 (sqrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -16 (neg.f64 x)) -1/116)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 x 16) 1/116) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 x 16) 1/116)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 x 16) 1/116)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 116 (+.f64 x 16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 16) -116))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 x 16) 1/116) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 x 16) 1/116)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x 16) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -16 (neg.f64 x)) -1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 116 (+.f64 x 16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 16) -116))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))))))

simplify34.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-def_binary64`
537×	`associate-l_binary64`
496×	`log-prod_binary64`
467×	`associate-r_binary64`
230×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	233
1	146	169
2	489	169
3	3762	169

Stop Event

1×	node limit

Counts

35 → 27

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
(.f64 (.f64 (+.f64 x 16) 1/116) 1)
(.f64 1 (.f64 (+.f64 x 16) 1/116))
(.f64 (cbrt.f64 (.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(.f64 (sqrt.f64 (.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(.f64 (sqrt.f64 (+.f64 x 16)) (.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (+.f64 -16 (neg.f64 x)) -1/116)
(*.f64 1/116 (+.f64 x 16))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))

Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 1 (.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (cbrt.f64 (.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (sqrt.f64 (.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (sqrt.f64 (+.f64 x 16)) (.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 -16 (neg.f64 x)) -1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)

eval11.0ms (1.1%)

Compiler: Compiled 209 to 178 computations (14.8% saved)

prune4.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

Counts

28 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
▶	0.0b	(+.f64 4/29 (*.f64 1/116 x))
▶	35.1b	(*.f64 1/116 x)
	27.5b	4/29

Compiler

Compiled 18 to 15 computations (16.7% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/116 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0.2%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/116 x)
0.0ms	x	@	0	(*.f64 1/116 x)
0.0ms	x	@	inf	(*.f64 1/116 x)

rewrite33.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 1/116 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 1/116 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/116))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/116 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/116 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/116 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) 1) (+.f64 (+.f64 1 (.f64 1/116 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/116 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/116 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 1/1560896) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/116 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/116 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/116 x)))) (sqrt.f64 (log.f64 (.f64 1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/116 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 1/1560896))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/116 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/116 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/116 x))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/116 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/116))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/116 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/116 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/116 x)) (+.f64 1 (*.f64 1/116 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/116 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/116 x)) (+.f64 1 (*.f64 1/116 x))) 1) (+.f64 (+.f64 1 (*.f64 1/116 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/116 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/116 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/116 x)))) (sqrt.f64 (log.f64 (*.f64 1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/116 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 x))) 2))))))

simplify37.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

785×	`times-frac_binary64`
418×	`distribute-rgt-out_binary64`
371×	`fma-neg_binary64`
327×	`fma-def_binary64`
305×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	316
1	192	181
2	592	177
3	3219	177

Stop Event

1×	node limit

Counts

25 → 30

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (*.f64 1/116 x)) -1)
(+.f64 0 (*.f64 1/116 x))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/116))))
(-.f64 (+.f64 1 (*.f64 1/116 x)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/116 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/116 x)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) 1) (+.f64 (+.f64 1 (.f64 1/116 x)) 1))
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (pow.f64 (*.f64 1/116 x) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/116 x)))) (sqrt.f64 (log.f64 (.f64 1/116 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/116 x))))
(sqrt.f64 (pow.f64 (*.f64 1/116 x) 2))
(fabs.f64 (*.f64 1/116 x))
(log.f64 (pow.f64 (exp.f64 x) 1/116))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(exp.f64 (log.f64 (*.f64 1/116 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/116 x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/116 x))) 2))

Outputs
(+.f64 (+.f64 1 (*.f64 1/116 x)) -1)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(+.f64 0 (*.f64 1/116 x))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/116))))
(-.f64 (+.f64 1 (*.f64 1/116 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/116 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/116 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 1/116 x)) 3) -1) (fma.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x)) (+.f64 1 (+.f64 1 (.f64 1/116 x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/116 x 1) 3)) (fma.f64 (fma.f64 1/116 x 1) (fma.f64 1/116 x 1) (+.f64 (*.f64 1/116 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/116 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/116 x 1) (fma.f64 1/116 x 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) 1) (+.f64 (+.f64 1 (.f64 1/116 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (*.f64 1/116 x) 1)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (pow.f64 (*.f64 1/116 x) 2) 1/2)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/116 x)))) (sqrt.f64 (log.f64 (.f64 1/116 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/116 x))))
(sqrt.f64 (pow.f64 (*.f64 1/116 x) 2))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(fabs.f64 (*.f64 1/116 x))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(log.f64 (pow.f64 (exp.f64 x) 1/116))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(exp.f64 (log.f64 (*.f64 1/116 x)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/116 x))) 3))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/116 x))) 2))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/116 x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval17.0ms (1.7%)

Compiler: Compiled 661 to 557 computations (15.7% saved)

prune10.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	60	4	64

Error

Counts

64 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.0b	(+.f64 4/29 (*.f64 1/116 x))
✓	35.1b	(*.f64 1/116 x)
	27.5b	4/29

Compiler

Compiled 18 to 15 computations (16.7% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.0b	(+.f64 4/29 (*.f64 1/116 x))
✓	35.1b	(*.f64 1/116 x)
	27.5b	4/29

Compiler

Compiled 18 to 15 computations (16.7% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.0b	(+.f64 4/29 (*.f64 1/116 x))
✓	35.1b	(*.f64 1/116 x)
	27.5b	4/29

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes12.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(/.f64 (+.f64 x 16) 116)

Outputs
(/.f64 (+.f64 x 16) 116)

Calls

3 calls:

6.0ms	x
3.0ms	(/.f64 (+.f64 x 16) 116)
3.0ms	(+.f64 x 16)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (+.f64 x 16) 116)`
0.0b	1	`(+.f64 x 16)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes4.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))

Outputs
(+.f64 4/29 (*.f64 1/116 x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (1.1%)

Accuracy

Total -60.9b remaining (-6953.2%)

Threshold costs -60.9b (-6953.2%)

Counts

2 → 3

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)

Outputs
(*.f64 1/116 x)
4/29
(*.f64 1/116 x)

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch28.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.04382337939805789	28016.70048433378
15.0ms	-8149.905067817596	-8.041519522024171e-10

Results

23.0ms

304×

body

256

valid

Compiler

Compiled 162 to 141 computations (13% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	19	36

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)
(+.f64 4/29 (*.f64 1/116 x))
(if (<=.f64 x -16) (.f64 1/116 x) (if (<=.f64 x 16) 4/29 (.f64 1/116 x)))
4/29

Outputs
(/.f64 (+.f64 x 16) 116)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 x 1/116))
(if (<=.f64 x -16) (.f64 1/116 x) (if (<=.f64 x 16) 4/29 (.f64 1/116 x)))
(if (<=.f64 x -16) (.f64 x 1/116) (if (<=.f64 x 16) 4/29 (.f64 x 1/116)))
4/29

Compiler

Compiled 30 to 24 computations (20% saved)

soundness0.0ms (0%)

end29.0ms (2.9%)

Compiler: Compiled 27 to 21 computations (22.2% saved)

Details

analyze3.0ms (0.3%)

sample666.0ms (66.8%)

preprocess15.0ms (1.5%)

simplify6.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.5%)

series1.0ms (0.1%)

rewrite54.0ms (5.4%)

simplify34.0ms (3.4%)

eval11.0ms (1.1%)

prune4.0ms (0.4%)

localize3.0ms (0.3%)

series2.0ms (0.2%)

rewrite33.0ms (3.3%)

simplify37.0ms (3.8%)

localize5.0ms (0.5%)

eval17.0ms (1.7%)

prune10.0ms (1%)

eval0.0ms (0%)

prune2.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes12.0ms (1.2%)

regimes4.0ms (0.4%)

regimes11.0ms (1.1%)

bsearch28.0ms (2.9%)

simplify3.0ms (0.3%)

soundness0.0ms (0%)

end29.0ms (2.9%)

Profiling