Details

analyze1.0s (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2088	133
1	2088	133
0	4	4
1	4	4

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)

sample32.0ms (0.1%)

Algorithm

1×

intervals

Results

11.0ms	245×	body	128	valid
3.0ms	61×	body	128	invalid
1.0ms	5×	body	1024	valid
0.0ms	4×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite79.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_4874`
4×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
3×	`associate-l_binary64_4793` `associate-r_binary64_4792`
2×	`distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `flip3-+_binary64_4855` `associate-*r/_binary64_4794` `flip-+_binary64_4826` `associate-+l+_binary64_4785`
1×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

2 → 35

Calls

2 calls:

19.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

Compiler

Compiled 816 to 464 computations (43.1% saved)

series739.0ms (3.1%)

Error

0.1b

Counts

2 → 45

Calls

2 calls:

399.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
268.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

Compiler

Compiled 1686 to 1274 computations (24.4% saved)

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4978	1258
1	4978	1258

prune80.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	3	81

Error

0.0b

Counts

81 → 3

Compiler

Compiled 1307 to 742 computations (43.2% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite94.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_4891`
7×	`add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
5×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `associate-+l+_binary64_4785`
4×	`associate-r_binary64_4792` `sum-log_binary64_4943`
3×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `associate-l_binary64_4793`
2×	`associate-*r/_binary64_4794` `+-commutative_binary64_4782`
1×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `distribute-lft-out_binary64_4803` `*-commutative_binary64_4783`

Counts

3 → 51

Calls

3 calls:

20.0ms	(+.f64 (+.f64 (.f64 2 (.f64 x (+.f64 z y))) (.f64 t x)) (.f64 y 5))
12.0ms	(+.f64 (.f64 2 (.f64 x (+.f64 z y))) (*.f64 t x))
12.0ms	(*.f64 x (+.f64 z y))

Compiler

Compiled 1241 to 554 computations (55.4% saved)

series958.0ms (4%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

461.0ms	(+.f64 (+.f64 (.f64 2 (.f64 x (+.f64 z y))) (.f64 t x)) (.f64 y 5))
327.0ms	(+.f64 (.f64 2 (.f64 x (+.f64 z y))) (*.f64 t x))
107.0ms	(*.f64 x (+.f64 z y))

Compiler

Compiled 2295 to 1685 computations (26.6% saved)

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5135	1491

prune89.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	111	3	114

Error

0.0b

Counts

114 → 3

Compiler

Compiled 1839 to 943 computations (48.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5))))
0.5b	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))

rewrite335.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4883`
23×	`add-sqr-sqrt_binary64_4874`
18×	`cbrt-div_binary64_4884`
15×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
11×	`pow1_binary64_4913`
9×	`pow1/3_binary64_4934` `flip3-+_binary64_4855` `flip-+_binary64_4826`
6×	`add-exp-log_binary64_4890` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `frac-times_binary64_4862` `unswap-sqr_binary64_4820`
2×	`pow-prod-down_binary64_4923` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `associate-l/_binary64_4795` `associate-r/_binary64_4794`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `*-commutative_binary64_4783`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5))))
8.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
6.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
6.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))

Compiler

Compiled 5588 to 3397 computations (39.2% saved)

series9.0s (38.2%)

Error

0.0b

Counts

4 → 120

Calls

4 calls:

4.3s	(.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5))))
1.2s	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
1.1s	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))
1.1s	(cbrt.f64 (+.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (*.f64 y 5)))

Compiler

Compiled 38414 to 28858 computations (24.9% saved)

simplify223.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5407	19931

prune1.4s (5.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	206	4	210

Error

0.0b

Counts

210 → 4

Compiler

Compiled 18671 to 11475 computations (38.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (.f64 25 y))
0.3b	(.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x))
5.0b	(-.f64 (.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (.f64 y (*.f64 25 y)))
29.2b	(/.f64 (-.f64 (.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (.f64 y (.f64 25 y))) (-.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 y 5)))

rewrite383.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`pow1_binary64_4913`
23×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
20×	`pow-prod-down_binary64_4923`
14×	`associate-*l/_binary64_4795`
13×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
11×	`prod-exp_binary64_4901` `cbrt-unprod_binary64_4885`
9×	`times-frac_binary64_4858`
6×	`add-log-exp_binary64_4891` `flip3-+_binary64_4855` `flip-+_binary64_4826`
4×	`pow-prod-up_binary64_4922` `frac-times_binary64_4862` `pow-sqr_binary64_4825` `associate-l_binary64_4793`
3×	`flip3--_binary64_4856` `flip--_binary64_4827` `associate-/l_binary64_4797` `associate-/r_binary64_4796`
2×	`associate-/l/_binary64_4799` `associate-/r/_binary64_4798` `pow-plus_binary64_4915` `associate-r/_binary64_4794` `associate-r_binary64_4792` `-commutative_binary64_4783`
1×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `div-sub_binary64_4857` `clear-num_binary64_4851` `div-inv_binary64_4849` `diff-log_binary64_4944` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818` `pow2_binary64_4933` `swap-sqr_binary64_4819`

Counts

4 → 104

Calls

4 calls:

25.0ms	(/.f64 (-.f64 (.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (.f64 y (.f64 25 y))) (-.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 y 5)))
20.0ms	(.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x))
15.0ms	(-.f64 (.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (.f64 y (*.f64 25 y)))
10.0ms	(.f64 y (.f64 25 y))

Compiler

Compiled 5993 to 3322 computations (44.6% saved)

series5.5s (23.5%)

Error

0.0b

Counts

4 → 90

Calls

4 calls:

2.8s	(/.f64 (-.f64 (.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (.f64 y (.f64 25 y))) (-.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 y 5)))
1.8s	(-.f64 (.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (.f64 y (*.f64 25 y)))
684.0ms	(.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x) (.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x))
29.0ms	(.f64 y (.f64 25 y))

Compiler

Compiled 15413 to 11094 computations (28% saved)

simplify117.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5005	9175

prune460.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	194	4	198

Error

0.0b

Counts

198 → 4

Compiler

Compiled 9757 to 4716 computations (51.7% saved)

regimes827.0ms (3.5%)

Accuracy

Total 0.0b remaining (80.3%)

Threshold costs 0.0b (80.3%)

Compiler

Compiled 5198 to 4331 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	28
1	25	28

end0.0ms (0%)

sample2.0s (8.4%)

Algorithm

1×

intervals

Results

376.0ms	7753×	body	128	valid
85.0ms	1879×	body	128	invalid
27.0ms	121×	body	1024	valid
15.0ms	77×	body	512	valid
4.0ms	49×	body	256	valid

Compiler

Compiled 1067 to 888 computations (16.8% saved)

Details

analyze1.0s (4.4%)

sample32.0ms (0.1%)

simplify14.0ms (0.1%)

prune4.0ms (0%)

localize9.0ms (0%)

rewrite79.0ms (0.3%)

series739.0ms (3.1%)

simplify71.0ms (0.3%)

prune80.0ms (0.3%)

localize19.0ms (0.1%)

rewrite94.0ms (0.4%)

series958.0ms (4%)

simplify85.0ms (0.4%)

prune89.0ms (0.4%)

localize18.0ms (0.1%)

rewrite335.0ms (1.4%)

series9.0s (38.2%)

simplify223.0ms (0.9%)

prune1.4s (5.9%)

localize16.0ms (0.1%)

rewrite383.0ms (1.6%)

series5.5s (23.5%)

simplify117.0ms (0.5%)

prune460.0ms (1.9%)

regimes827.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (8.4%)

Profiling