Details

analyze257.0ms (5.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
68.7%	31.2%	0%	5
71.8%	28.1%	0%	6
73.4%	26.5%	0%	7
74.2%	25.8%	0%	8
74.6%	25.4%	0%	9
74.8%	25.2%	0%	10
74.9%	25.1%	0%	11
74.9%	25%	0%	12
74.9%	25%	0%	13
75%	25%	0%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample69.0ms (1.5%)

Algorithm

1×

intervals

Results

29.0ms	80×	body	1024	valid
11.0ms	32×	body	2048	valid
9.0ms	45×	body	512	valid
7.0ms	79×	body	128	valid
2.0ms	18×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

prune3.0ms (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

53.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.4b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
2.5b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
14.0b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite72.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

52.5b

Rules

9×	`*-un-lft-identity_binary64_2806`
6×	`add-sqr-sqrt_binary64_2828`
5×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841`
4×	`add-exp-log_binary64_2844` `log-prod_binary64_2892`
3×	`add-cbrt-cube_binary64_2842` `flip3-+_binary64_2809` `flip-+_binary64_2780` `sqrt-prod_binary64_2822`
2×	`sqrt-div_binary64_2823` `log-div_binary64_2893` `distribute-lft-out_binary64_2757`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `log-pow_binary64_2895` `rem-log-exp_binary64_2847` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

3 → 42

Calls

3 calls:

7.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
6.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 766 to 464 computations (39.4% saved)

series191.0ms (4.1%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

70.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
48.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))
47.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Compiler

Compiled 716 to 609 computations (14.9% saved)

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4854	995
1	4854	995

prune65.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Error

0.0b

Counts

70 → 5

Compiler

Compiled 947 to 622 computations (34.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))
0.2b	(*.f64 (pow.f64 x 3) 1/6)

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_2828`
12×	`associate-l_binary64_2747`
7×	`add-exp-log_binary64_2844`
6×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `unpow-prod-down_binary64_2885` `unswap-sqr_binary64_2774` `cube-prod_binary64_2834`
3×	`prod-exp_binary64_2855` `associate-r_binary64_2746`
2×	`pow1_binary64_2867` `sqr-pow_binary64_2778`
1×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `cbrt-unprod_binary64_2839` `unpow3_binary64_2872` `cube-mult_binary64_2836` `*-commutative_binary64_2737` `diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `cancel-sign-sub-inv_binary64_2772`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 (pow.f64 x 3) 1/6)
4.0ms	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))

Compiler

Compiled 594 to 447 computations (24.7% saved)

series97.0ms (2.1%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

59.0ms	(-.f64 x (*.f64 (pow.f64 x 3) 1/6))
33.0ms	(*.f64 (pow.f64 x 3) 1/6)

Compiler

Compiled 148 to 122 computations (17.6% saved)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4926	553
1	4926	553

prune43.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Error

0.0b

Counts

57 → 5

Compiler

Compiled 638 to 465 computations (27.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 x (/.f64 1/2 x)))
0.0b	(+.f64 x (/.f64 1/2 x))

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_2845` `*-un-lft-identity_binary64_2806`
4×	`sum-log_binary64_2897` `distribute-lft-out_binary64_2757`
2×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`
1×	`associate-+r+_binary64_2738`

Counts

2 → 27

Calls

2 calls:

9.0ms	(+.f64 x (+.f64 x (/.f64 1/2 x)))
6.0ms	(+.f64 x (/.f64 1/2 x))

Compiler

Compiled 408 to 272 computations (33.3% saved)

series97.0ms (2.1%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

48.0ms	(+.f64 x (+.f64 x (/.f64 1/2 x)))
43.0ms	(+.f64 x (/.f64 1/2 x))

Compiler

Compiled 232 to 186 computations (19.8% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4933	402
1	4933	402

prune31.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Error

0.0b

Counts

44 → 5

Compiler

Compiled 476 to 314 computations (34% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
0.3b	(/.f64 1/8 (pow.f64 x 3))
8.3b	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))

rewrite190.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`*-un-lft-identity_binary64_2806`
40×	`times-frac_binary64_2812`
29×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
12×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834` `associate-/r*_binary64_2750`
9×	`add-exp-log_binary64_2844`
5×	`log-prod_binary64_2892` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
4×	`pow1_binary64_2867` `distribute-lft-out_binary64_2757` `unpow3_binary64_2872` `cube-mult_binary64_2836` `sqr-pow_binary64_2778`
3×	`log-div_binary64_2893` `div-exp_binary64_2857` `associate-/l*_binary64_2751`
2×	`frac-add_binary64_2814` `flip3-+_binary64_2809` `flip-+_binary64_2780`
1×	`log-pow_binary64_2895` `rem-log-exp_binary64_2847` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

3 → 96

Calls

3 calls:

35.0ms	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
29.0ms	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
6.0ms	(/.f64 1/8 (pow.f64 x 3))

Compiler

Compiled 1792 to 1435 computations (19.9% saved)

series142.0ms (3%)

Error

0.0b

Counts

3 → 13

Calls

3 calls:

66.0ms	(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
34.0ms	(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
31.0ms	(/.f64 1/8 (pow.f64 x 3))

Compiler

Compiled 367 to 331 computations (9.8% saved)

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5191	1577

prune102.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	109	5	114

Error

0.0b

Counts

114 → 5

Compiler

Compiled 1639 to 1267 computations (22.7% saved)

regimes199.0ms (4.3%)

Accuracy

Total 0.2b remaining (88%)

Threshold costs 0.2b (88%)

Compiler

Compiled 1452 to 1075 computations (26% saved)

bsearch33.0ms (0.7%)

Steps

Iters	Range		Point
10	2.361237344795231e-06	257345073373.57803	0.9520561807155453
7	-1.1616105144389368	-0.06608264608987789	-1.0814486359818885

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	55	49
1	55	49

end0.0ms (0%)

sample2.5s (54.5%)

Algorithm

1×

intervals

Results

899.0ms	2487×	body	1024	valid
384.0ms	1208×	body	2048	valid
250.0ms	1233×	body	512	valid
115.0ms	2418×	body	128	valid
67.0ms	606×	body	256	valid
21.0ms	48×	body	4096	valid

Compiler

Compiled 517 to 384 computations (25.7% saved)

Details

analyze257.0ms (5.5%)

sample69.0ms (1.5%)

simplify96.0ms (2.1%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite72.0ms (1.5%)

series191.0ms (4.1%)

simplify85.0ms (1.8%)

prune65.0ms (1.4%)

localize7.0ms (0.2%)

rewrite48.0ms (1%)

series97.0ms (2.1%)

simplify98.0ms (2.1%)

prune43.0ms (0.9%)

localize6.0ms (0.1%)

rewrite37.0ms (0.8%)

series97.0ms (2.1%)

simplify74.0ms (1.6%)

prune31.0ms (0.7%)

localize7.0ms (0.2%)

rewrite190.0ms (4.1%)

series142.0ms (3%)

simplify65.0ms (1.4%)

prune102.0ms (2.2%)

regimes199.0ms (4.3%)

bsearch33.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.5s (54.5%)

Profiling