Details

analyze912.0ms (10.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	249×	body	128	valid
2.0ms	59×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify169.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 y z) z) y)
0.0b	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))
0.0b	(+.f64 (+.f64 y z) z)
0.0b	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))

rewrite59.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_3110`
20×	`add-log-exp_binary64_3146`
19×	`distribute-lft-out_binary64_3063`
10×	`sum-log_binary64_3198`
8×	`add-sqr-sqrt_binary64_3131`
7×	`associate-r_binary64_3052`
6×	`add-cube-cbrt_binary64_3142` `add-exp-log_binary64_3145` `pow1_binary64_3168` `add-cbrt-cube_binary64_3143`
4×	`flip3-+_binary64_3113` `associate-+l+_binary64_3045` `flip-+_binary64_3084`
3×	`+-commutative_binary64_3042` `associate-l_binary64_3053`
2×	`associate-*r/_binary64_3054` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062`
1×	`prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `unswap-sqr_binary64_3078`

Counts

4 → 71

Calls

4 calls:

19.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))
17.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
10.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)
7.0ms	(+.f64 (+.f64 y z) z)

series251.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))
82.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
41.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)
33.0ms	(+.f64 (+.f64 y z) z)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4861	1133
1	4861	1133

prune85.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

Compiler

Compiled 1702 to 832 computations (51.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 (+.f64 y z) 2))
0.0b	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
0.0b	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_3146`
8×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `add-cbrt-cube_binary64_3143`
4×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `sum-log_binary64_3198` `add-sqr-sqrt_binary64_3131`
3×	`prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `flip3-+_binary64_3113` `associate-l_binary64_3053` `flip-+_binary64_3084`
2×	`+-commutative_binary64_3042` `associate-r/_binary64_3054` `associate-l/_binary64_3055`
1×	`distribute-lft-out_binary64_3063` `-commutative_binary64_3043` `associate-r*_binary64_3052` `associate-+l+_binary64_3045`

Counts

3 → 45

Calls

3 calls:

12.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
9.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
8.0ms	(.f64 x (.f64 (+.f64 y z) 2))

series250.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
82.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
68.0ms	(.f64 x (.f64 (+.f64 y z) 2))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5038	933

prune52.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

Compiler

Compiled 1188 to 665 computations (44% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

rewrite71.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3138`
23×	`add-sqr-sqrt_binary64_3131`
18×	`cbrt-div_binary64_3139`
15×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
11×	`pow1_binary64_3168`
9×	`flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
6×	`add-exp-log_binary64_3145` `swap-sqr_binary64_3077` `associate-l_binary64_3053` `associate-r_binary64_3052`
4×	`frac-times_binary64_3120` `add-log-exp_binary64_3146` `unswap-sqr_binary64_3078` `add-cbrt-cube_binary64_3143`
2×	`pow-prod-down_binary64_3178` `pow-sqr_binary64_3083` `associate-r/_binary64_3054` `associate-l/_binary64_3055` `pow-prod-up_binary64_3177`
1×	`pow2_binary64_3188` `prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `pow-plus_binary64_3170`

Counts

4 → 87

Calls

4 calls:

25.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series2.7s (31.2%)

Counts

4 → 12

Calls

4 calls:

1.2s	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
502.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
501.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
501.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4941	3732
1	4941	3732

prune258.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

Compiler

Compiled 5553 to 3443 computations (38% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

rewrite56.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_3138`
8×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `cbrt-div_binary64_3139` `add-sqr-sqrt_binary64_3131`
4×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `add-log-exp_binary64_3146` `flip3-+_binary64_3113` `pow1/3_binary64_3189` `add-cbrt-cube_binary64_3143` `flip-+_binary64_3084`

Counts

4 → 52

Calls

4 calls:

11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series2.1s (24.2%)

Counts

4 → 12

Calls

4 calls:

521.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
521.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
513.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
512.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5045	2200

prune239.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

Compiler

Compiled 5132 to 3369 computations (34.4% saved)

regimes81.0ms (0.9%)

Compiler: Compiled 888 to 672 computations (24.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample879.0ms (10.3%)

Algorithm

1×

intervals

Results

308.0ms	7732×	body	128	valid
76.0ms	1889×	body	128	invalid
19.0ms	136×	body	1024	valid
10.0ms	95×	body	512	valid
3.0ms	37×	body	256	valid

Compiler

Compiled 251 to 190 computations (24.3% saved)

Details

analyze912.0ms (10.7%)

sample23.0ms (0.3%)

simplify169.0ms (2%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite59.0ms (0.7%)

series251.0ms (2.9%)

simplify70.0ms (0.8%)

prune85.0ms (1%)

localize11.0ms (0.1%)

rewrite33.0ms (0.4%)

series250.0ms (2.9%)

simplify67.0ms (0.8%)

prune52.0ms (0.6%)

localize16.0ms (0.2%)

rewrite71.0ms (0.8%)

series2.7s (31.2%)

simplify116.0ms (1.4%)

prune258.0ms (3%)

localize25.0ms (0.3%)

rewrite56.0ms (0.7%)

series2.1s (24.2%)

simplify75.0ms (0.9%)

prune239.0ms (2.8%)

regimes81.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample879.0ms (10.3%)

Profiling