Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	69×	body	1024	valid
4.0ms	138×	body	128	valid
2.0ms	24×	body	512	valid
2.0ms	11×	body	2048	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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

Merged error: 29.7b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.5b	(cbrt.f64 x)
2.8b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_450`
16×	`*-un-lft-identity_binary64_419`
15×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458`
4×	`difference-of-squares_binary64_388`
3×	`distribute-lft-out--_binary64_371` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
2×	`pow1/3_binary64_501` `cbrt-div_binary64_451` `distribute-lft-out_binary64_370`
1×	`flip3-+_binary64_422` `sub-neg_binary64_412` `flip3--_binary64_423` `flip-+_binary64_393` `diff-log_binary64_511` `flip--_binary64_394`

Counts

3 → 49

Calls

3 calls:

9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series160.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(cbrt.f64 x)
55.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
24.0ms	(cbrt.f64 (+.f64 x 1))

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4796	788
1	4796	788

prune66.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	51	7	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	7	59

Merged error: 0.3b

Counts

59 → 7

Compiler

Compiled 853 to 575 computations (32.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.3b	(*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.5b	(cbrt.f64 x)
3.2b	(pow.f64 x 2/3)

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_419`
16×	`cbrt-prod_binary64_450`
15×	`add-sqr-sqrt_binary64_441`
11×	`add-cube-cbrt_binary64_454`
8×	`cbrt-div_binary64_451`
7×	`flip3-+_binary64_422` `associate-l_binary64_360` `flip-+_binary64_393` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`associate-r_binary64_359` `distribute-lft-out_binary64_370`
5×	`add-cbrt-cube_binary64_455`
4×	`add-log-exp_binary64_458` `frac-times_binary64_429`
3×	`unpow-prod-down_binary64_498` `pow-unpow_binary64_496`
2×	`associate-l/_binary64_362` `pow1/3_binary64_501` `unswap-sqr_binary64_387` `associate-r/_binary64_361`
1×	`pow-prod-down_binary64_490` `distribute-rgt-in_binary64_369` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `distribute-lft-in_binary64_368` `*-commutative_binary64_350` `pow-pow_binary64_491`

Counts

4 → 78

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
5.0ms	(cbrt.f64 (+.f64 x 1))
2.0ms	(pow.f64 x 2/3)
1.0ms	(cbrt.f64 x)

series280.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
80.0ms	(pow.f64 x 2/3)
78.0ms	(cbrt.f64 x)
22.0ms	(cbrt.f64 (+.f64 x 1))

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4981	1429
1	4981	1429

prune127.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	88	9	97

Merged error: 0.2b

Counts

97 → 9

Compiler

Compiled 2344 to 1729 computations (26.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series343.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
84.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune112.0ms (2.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	81	13	94

Merged error: 0.1b

Counts

94 → 13

Compiler

Compiled 2159 to 1348 computations (37.6% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`cbrt-prod_binary64_450`
11×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
9×	`unpow-prod-down_binary64_498`
5×	`add-exp-log_binary64_457` `pow1_binary64_480`
4×	`pow1/3_binary64_501` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`pow-unpow_binary64_496`
2×	`pow-pow_binary64_491`
1×	`pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-to-exp_binary64_488`

Counts

4 → 58

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

series479.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
122.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
117.0ms	(cbrt.f64 (cbrt.f64 x))
84.0ms	(cbrt.f64 x)

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4948	630
1	4948	630

prune101.0ms (2.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	66	17	83

Merged error: 0.1b

Counts

83 → 17

Compiler

Compiled 2115 to 1209 computations (42.8% saved)

regimes170.0ms (4.4%)

Compiler: Compiled 2021 to 1498 computations (25.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	32
1	16	32

end0.0ms (0%)

sample1.5s (39.5%)

Algorithm

1×

intervals

Results

228.0ms	2006×	body	1024	valid
128.0ms	4333×	body	128	valid
81.0ms	957×	body	512	valid
32.0ms	228×	body	2048	valid
27.0ms	476×	body	256	valid

Compiler

Compiled 993 to 733 computations (26.2% saved)

Details

analyze2.0ms (0%)

sample20.0ms (0.5%)

simplify103.0ms (2.6%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite15.0ms (0.4%)

series160.0ms (4.1%)

simplify73.0ms (1.9%)

prune66.0ms (1.7%)

localize13.0ms (0.3%)

rewrite30.0ms (0.8%)

series280.0ms (7.2%)

simplify78.0ms (2%)

prune127.0ms (3.3%)

localize12.0ms (0.3%)

rewrite15.0ms (0.4%)

series343.0ms (8.8%)

simplify58.0ms (1.5%)

prune112.0ms (2.9%)

localize18.0ms (0.5%)

rewrite16.0ms (0.4%)

series479.0ms (12.3%)

simplify60.0ms (1.5%)

prune101.0ms (2.6%)

regimes170.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (39.5%)

Profiling