Details

analyze158.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample32.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms	93×	body	1024	valid
4.0ms	46×	body	512	valid
2.0ms	91×	body	128	valid
1.0ms	8×	body	2048	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9

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

Error

43.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.9b	(-.f64 (exp.f64 x) 1)

rewrite112.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

42.4b

Rules

35×	`add-sqr-sqrt_binary64_3510`
30×	`*-un-lft-identity_binary64_3488`
21×	`times-frac_binary64_3494`
15×	`add-cube-cbrt_binary64_3523`
10×	`difference-of-squares_binary64_3457`
7×	`associate-/l*_binary64_3433`
5×	`difference-of-sqr-1_binary64_3458` `distribute-lft-out--_binary64_3440`
4×	`add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`cancel-sign-sub-inv_binary64_3454` `associate-/r*_binary64_3432`
2×	`pow1_binary64_3549` `flip3--_binary64_3492` `flip--_binary64_3463` `associate-/l/_binary64_3435`
1×	`diff-log_binary64_3580` `sub-neg_binary64_3481` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 754 to 428 computations (43.2% saved)

series92.0ms (2.4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

54.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
24.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 230 to 186 computations (19.1% saved)

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune61.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Error

Counts

77 → 4

Compiler

Compiled 662 to 384 computations (42% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite71.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_3510`
6×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `-un-lft-identity_binary64_3488` `associate-l_binary64_3429` `associate-r*_binary64_3428`
2×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `-commutative_binary64_3419` `associate-r/_binary64_3430`
1×	`distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `flip3-+_binary64_3491` `flip-+_binary64_3462`

Counts

2 → 40

Calls

2 calls:

7.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

Compiler

Compiled 562 to 435 computations (22.6% saved)

series110.0ms (2.8%)

Error

Counts

2 → 9

Calls

2 calls:

79.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
25.0ms	(*.f64 x 1/6)

Compiler

Compiled 171 to 154 computations (9.9% saved)

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4923	458
1	4923	458

prune61.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	49	4	53

Error

Counts

53 → 4

Compiler

Compiled 540 to 418 computations (22.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))
0.1b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.3b	(*.f64 x 1/6)
2.8b	(/.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) x)

rewrite146.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_3510`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
13×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
11×	`pow1_binary64_3549`
9×	`times-frac_binary64_3494`
6×	`add-log-exp_binary64_3527` `associate-r_binary64_3428`
4×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `associate-l_binary64_3429`
3×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `associate-/l_binary64_3433` `associate-/r_binary64_3432`
2×	`associate-/l/_binary64_3435` `unswap-sqr_binary64_3456` `-commutative_binary64_3419` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `associate-r/_binary64_3430` `associate-+r+_binary64_3420`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

4 → 83

Calls

4 calls:

7.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
5.0ms	(/.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) x)
4.0ms	(*.f64 x 1/6)
3.0ms	(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))

Compiler

Compiled 1837 to 1077 computations (41.4% saved)

series485.0ms (12.5%)

Error

Counts

4 → 27

Calls

4 calls:

204.0ms	(/.f64 (+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))) x)
153.0ms	(+.f64 x (.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))
89.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
24.0ms	(*.f64 x 1/6)

Compiler

Compiled 537 to 428 computations (20.3% saved)

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4947	1852
1	4947	1852

prune118.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Error

Counts

114 → 4

Compiler

Compiled 1559 to 989 computations (36.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
4.8b	(+.f64 -1 (pow.f64 (exp.f64 x) 3))

rewrite189.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`*-un-lft-identity_binary64_3488`
22×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `distribute-lft-out_binary64_3439`
20×	`times-frac_binary64_3494`
8×	`pow-pow_binary64_3560`
7×	`add-cbrt-cube_binary64_3524`
6×	`add-log-exp_binary64_3527` `pow1_binary64_3549` `add-exp-log_binary64_3526` `unpow-prod-down_binary64_3567` `pow-unpow_binary64_3565` `exp-prod_binary64_3540`
5×	`associate-/r*_binary64_3432`
4×	`associate-/l*_binary64_3433`
3×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `cube-prod_binary64_3516`
2×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `sqr-pow_binary64_3460` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434`
1×	`sum-log_binary64_3579` `+-commutative_binary64_3418` `unpow3_binary64_3554` `cube-mult_binary64_3518` `rem-cube-cbrt_binary64_3511` `unpow2_binary64_3553` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

4 → 104

Calls

4 calls:

15.0ms	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
6.0ms	(+.f64 -1 (pow.f64 (exp.f64 x) 3))
5.0ms	(pow.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 2306 to 1489 computations (35.4% saved)

series360.0ms (9.3%)

Error

Counts

4 → 24

Calls

4 calls:

184.0ms	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
64.0ms	(+.f64 -1 (pow.f64 (exp.f64 x) 3))
53.0ms	(pow.f64 (exp.f64 x) 3)
33.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 990 to 727 computations (26.6% saved)

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5246	2350

prune139.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	128	4	132

Error

Counts

132 → 4

Compiler

Compiled 2103 to 1346 computations (36% saved)

regimes373.0ms (9.6%)

Accuracy

Total 0.2b remaining (85.1%)

Threshold costs 0.2b (85.1%)

Compiler

Compiled 2616 to 2089 computations (20.1% saved)

bsearch30.0ms (0.8%)

Steps

Iters	Range		Point
11	-8350567996.343218	-1.0560461136397223e-11	-0.0002111577567056457

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	46
1	30	46

end2.0ms (0.1%)

Compiler: Compiled 30 to 20 computations (33.3% saved)

sample995.0ms (25.7%)

Algorithm

1×

intervals

Results

398.0ms	2635×	body	1024	valid
114.0ms	1328×	body	512	valid
74.0ms	3090×	body	128	valid
44.0ms	273×	body	2048	valid
35.0ms	674×	body	256	valid

Compiler

Compiled 108 to 83 computations (23.1% saved)

Details

analyze158.0ms (4.1%)

sample32.0ms (0.8%)

simplify14.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite112.0ms (2.9%)

series92.0ms (2.4%)

simplify60.0ms (1.5%)

prune61.0ms (1.6%)

localize6.0ms (0.1%)

rewrite71.0ms (1.8%)

series110.0ms (2.8%)

simplify80.0ms (2.1%)

prune61.0ms (1.6%)

localize8.0ms (0.2%)

rewrite146.0ms (3.8%)

series485.0ms (12.5%)

simplify77.0ms (2%)

prune118.0ms (3%)

localize11.0ms (0.3%)

rewrite189.0ms (4.9%)

series360.0ms (9.3%)

simplify75.0ms (1.9%)

prune139.0ms (3.6%)

regimes373.0ms (9.6%)

bsearch30.0ms (0.8%)

simplify3.0ms (0.1%)

end2.0ms (0.1%)

sample995.0ms (25.7%)

Profiling