Details

analyze2.0s (4.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample58.0ms (0.1%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
6.0ms	34×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify1.3s (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (883.0ms)

Iter	Nodes	Cost
0	5152	13

prune4.0ms (0%)

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

Merged error: 11.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
11.1b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite70.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_16787`
9×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
8×	`add-sqr-sqrt_binary64_16809`
6×	`add-cube-cbrt_binary64_16822`
5×	`associate-r_binary64_16727`
4×	`pow1_binary64_16848` `associate-*r/_binary64_16729`
3×	`times-frac_binary64_16793` `associate-l_binary64_16728` `associate-/r*_binary64_16731`
2×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `div-exp_binary64_16838` `associate-/l/_binary64_16734` `flip-+_binary64_16761` `distribute-lft-out_binary64_16738` `flip3-+_binary64_16790`
1×	`associate-/l_binary64_16732` `clear-num_binary64_16786` `-commutative_binary64_16718` `distribute-lft-out--_binary64_16739` `unswap-sqr_binary64_16755` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `frac-2neg_binary64_16798` `div-inv_binary64_16784` `pow-prod-down_binary64_16858`

Counts

2 → 47

Calls

2 calls:

38.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
21.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

series262.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

165.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
96.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

simplify231.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	5175	708

prune664.0ms (1.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	27	26	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	27	54

Merged error: 0b

Counts

54 → 27

Compiler

Compiled 1158 to 667 computations (42.4% saved)

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0b	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
3.1b	(*.f64 (/.f64 x z) y)

rewrite86.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_16809`
14×	`*-un-lft-identity_binary64_16787`
13×	`associate-l_binary64_16728`
12×	`add-cube-cbrt_binary64_16822`
10×	`add-log-exp_binary64_16826` `times-frac_binary64_16793`
8×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`pow1_binary64_16848`
3×	`associate-r_binary64_16727` `cancel-sign-sub-inv_binary64_16753`
2×	`diff-log_binary64_16879` `cbrt-unprod_binary64_16820` `sum-log_binary64_16878` `prod-exp_binary64_16836` `unswap-sqr_binary64_16755` `associate-*l/_binary64_16730`
1×	`cbrt-undiv_binary64_16821` `sub-neg_binary64_16780` `frac-add_binary64_16795` `difference-of-squares_binary64_16756` `div-exp_binary64_16838` `*-commutative_binary64_16718` `flip3--_binary64_16791` `distribute-lft-out--_binary64_16739` `flip-+_binary64_16761` `associate--l+_binary64_16724` `+-commutative_binary64_16717` `flip--_binary64_16762` `div-inv_binary64_16784` `pow-prod-down_binary64_16858` `flip3-+_binary64_16790`

Counts

3 → 62

Calls

3 calls:

33.0ms	(*.f64 (/.f64 x z) y)
23.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
20.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)

series402.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

170.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
133.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
99.0ms	(*.f64 (/.f64 x z) y)

simplify308.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (252.0ms)

Iter	Nodes	Cost
0	4961	910
1	4961	910

prune1.8s (3.7%)

Pruning

58 alts after pruning (57 fresh and 1 done)

	Pruned	Kept	Total
New	36	35	71
Fresh	3	22	25
Picked	1	0	1
Done	0	1	1
Total	40	58	98

Merged error: 0b

Counts

98 → 58

Compiler

Compiled 2177 to 1101 computations (49.4% saved)

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite42.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_16818`
8×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
4×	`add-log-exp_binary64_16826` `pow1_binary64_16848` `add-exp-log_binary64_16825` `pow1/3_binary64_16869` `add-cbrt-cube_binary64_16823`

Counts

4 → 44

Calls

4 calls:

9.0ms	(cbrt.f64 z)
9.0ms	(cbrt.f64 x)
5.0ms	(cbrt.f64 x)
4.0ms	(cbrt.f64 x)

series1.7s (3.5%)

Counts

4 → 12

Calls

4 calls:

441.0ms	(cbrt.f64 x)
434.0ms	(cbrt.f64 x)
418.0ms	(cbrt.f64 x)
417.0ms	(cbrt.f64 z)

simplify131.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5087	340

prune2.0s (4.1%)

Pruning

78 alts after pruning (76 fresh and 2 done)

	Pruned	Kept	Total
New	35	21	56
Fresh	1	55	56
Picked	0	1	1
Done	0	1	1
Total	36	78	114

Merged error: 0b

Counts

114 → 78

Compiler

Compiled 3218 to 1403 computations (56.4% saved)

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (neg.f64 x))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`cbrt-prod_binary64_16818`
10×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
4×	`add-log-exp_binary64_16826` `pow1_binary64_16848` `add-exp-log_binary64_16825` `pow1/3_binary64_16869` `add-cbrt-cube_binary64_16823`
3×	`distribute-rgt-neg-in_binary64_16745` `distribute-lft-neg-in_binary64_16744`
1×	`neg-mul-1_binary64_16783`

Counts

4 → 51

Calls

4 calls:

6.0ms	(cbrt.f64 x)
5.0ms	(cbrt.f64 (neg.f64 x))
4.0ms	(cbrt.f64 x)
3.0ms	(cbrt.f64 z)

series1.4s (2.8%)

Counts

4 → 12

Calls

4 calls:

385.0ms	(cbrt.f64 (neg.f64 x))
375.0ms	(cbrt.f64 z)
370.0ms	(cbrt.f64 x)
240.0ms	(cbrt.f64 x)

simplify258.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (228.0ms)

Iter	Nodes	Cost
0	4866	439
1	4866	439

prune2.1s (4.3%)

Pruning

104 alts after pruning (101 fresh and 3 done)

	Pruned	Kept	Total
New	37	26	63
Fresh	0	75	75
Picked	0	1	1
Done	0	2	2
Total	37	104	141

Merged error: 0b

Counts

141 → 104

Compiler

Compiled 2036 to 708 computations (65.2% saved)

regimes7.9s (16.1%)

Compiler: Compiled 17966 to 11701 computations (34.9% saved)

bsearch6.7s (13.6%)

simplify22.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	40
1	28	40

end0.0ms (0%)

sample19.4s (39.5%)

Algorithm

1×

intervals

Results

919.0ms	8000×	body	128	valid
117.0ms	1118×	body	128	invalid

Compiler

Compiled 4538 to 2953 computations (34.9% saved)

Pareto

Details

analyze2.0s (4.2%)

sample58.0ms (0.1%)

simplify1.3s (2.6%)

prune4.0ms (0%)

localize14.0ms (0%)

rewrite70.0ms (0.1%)

series262.0ms (0.5%)

simplify231.0ms (0.5%)

prune664.0ms (1.4%)

localize31.0ms (0.1%)

rewrite86.0ms (0.2%)

series402.0ms (0.8%)

simplify308.0ms (0.6%)

prune1.8s (3.7%)

localize75.0ms (0.2%)

rewrite42.0ms (0.1%)

series1.7s (3.5%)

simplify131.0ms (0.3%)

prune2.0s (4.1%)

localize82.0ms (0.2%)

rewrite28.0ms (0.1%)

series1.4s (2.8%)

simplify258.0ms (0.5%)

prune2.1s (4.3%)

regimes7.9s (16.1%)

bsearch6.7s (13.6%)

simplify22.0ms (0%)

end0.0ms (0%)

sample19.4s (39.5%)

Profiling