Details

analyze118.0ms (3%)

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)

sample31.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms	98×	body	1024	valid
4.0ms	42×	body	512	valid
2.0ms	9×	body	2048	valid
2.0ms	86×	body	128	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

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

42.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
2.3b	(-.f64 (exp.f64 x) 1)

rewrite73.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

41.7b

Rules

35×	`add-sqr-sqrt_binary64_2828`
30×	`*-un-lft-identity_binary64_2806`
21×	`times-frac_binary64_2812`
15×	`add-cube-cbrt_binary64_2841`
10×	`difference-of-squares_binary64_2775`
7×	`associate-/l*_binary64_2751`
5×	`difference-of-sqr-1_binary64_2776` `distribute-lft-out--_binary64_2758`
4×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`cancel-sign-sub-inv_binary64_2772` `associate-/r*_binary64_2750`
2×	`pow1_binary64_2867` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-/l/_binary64_2753`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `div-sub_binary64_2811` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

2 → 64

Calls

2 calls:

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

Compiler

Compiled 893 to 496 computations (44.5% saved)

series80.0ms (2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

36.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
20.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (53.0ms)

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 931 to 515 computations (44.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite62.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64_2828`
7×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`associate-l_binary64_2747` `associate-r_binary64_2746`
5×	`add-log-exp_binary64_2845`
2×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `-commutative_binary64_2737` `flip3-+_binary64_2809` `associate-r/_binary64_2748` `flip-+_binary64_2780`
1×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

3 → 51

Calls

3 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)
3.0ms	(+.f64 1/2 (*.f64 x 1/6))

Compiler

Compiled 786 to 619 computations (21.2% saved)

series125.0ms (3.2%)

Error

Counts

3 → 15

Calls

3 calls:

64.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
35.0ms	(+.f64 1/2 (*.f64 x 1/6))
17.0ms	(*.f64 x 1/6)

Compiler

Compiled 337 to 292 computations (13.4% saved)

simplify92.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4841	612
1	4841	612

prune66.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 855 to 669 computations (21.8% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.0b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
2.3b	(-.f64 (exp.f64 x) 1)

rewrite268.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

103×	`add-sqr-sqrt_binary64_2828`
100×	`cbrt-prod_binary64_2837`
90×	`*-un-lft-identity_binary64_2806`
69×	`times-frac_binary64_2812`
51×	`add-cube-cbrt_binary64_2841`
42×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
26×	`difference-of-squares_binary64_2775`
23×	`associate-/l*_binary64_2751`
13×	`difference-of-sqr-1_binary64_2776` `distribute-lft-out--_binary64_2758`
7×	`add-exp-log_binary64_2844`
6×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `cube-div_binary64_2835` `unpow3_binary64_2872` `cube-mult_binary64_2836` `sqr-pow_binary64_2778`
5×	`pow1_binary64_2867`
4×	`flip3--_binary64_2810` `flip--_binary64_2781` `cbrt-div_binary64_2838`
3×	`cancel-sign-sub-inv_binary64_2772` `pow-unpow_binary64_2883` `associate-/r*_binary64_2750`
2×	`associate-/l/_binary64_2753`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `pow1/3_binary64_2888` `rem-cbrt-cube_binary64_2830` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `rem-cube-cbrt_binary64_2829` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

4 → 191

Calls

4 calls:

13.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
11.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
8.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 3710 to 2487 computations (33% saved)

series164.0ms (4.2%)

Error

Counts

4 → 24

Calls

4 calls:

48.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
40.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
35.0ms	(-.f64 (exp.f64 x) 1)
22.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))

Compiler

Compiled 590 to 472 computations (20% saved)

simplify121.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5020	3444

prune190.0ms (4.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	215	4	219

Error

Counts

219 → 4

Compiler

Compiled 3047 to 1839 computations (39.6% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
2.3b	(+.f64 -1 (pow.f64 (exp.f64 x) 3))

rewrite198.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`*-un-lft-identity_binary64_2806`
23×	`distribute-lft-out_binary64_2757`
20×	`times-frac_binary64_2812`
19×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
8×	`add-log-exp_binary64_2845`
7×	`add-cbrt-cube_binary64_2842`
6×	`add-exp-log_binary64_2844`
5×	`pow1_binary64_2867` `associate-/r*_binary64_2750`
4×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l*_binary64_2751` `pow-pow_binary64_2878`
3×	`unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883` `exp-prod_binary64_2858` `cube-prod_binary64_2834`
2×	`sum-log_binary64_2897` `+-commutative_binary64_2736` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow3_binary64_2872` `cube-mult_binary64_2836` `rem-cube-cbrt_binary64_2829` `sqr-pow_binary64_2778`

Counts

4 → 95

Calls

4 calls:

17.0ms	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
7.0ms	(+.f64 (exp.f64 x) 1)
6.0ms	(+.f64 -1 (pow.f64 (exp.f64 x) 3))
3.0ms	(pow.f64 (exp.f64 x) 3)

Compiler

Compiled 2631 to 1708 computations (35.1% saved)

series292.0ms (7.4%)

Error

Counts

4 → 24

Calls

4 calls:

148.0ms	(/.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))
39.0ms	(pow.f64 (exp.f64 x) 3)
19.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 1068 to 770 computations (27.9% saved)

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5003	2335

prune164.0ms (4.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Error

Counts

123 → 4

Compiler

Compiled 2858 to 1842 computations (35.5% saved)

regimes106.0ms (2.7%)

Accuracy

Total 0.3b remaining (85.8%)

Threshold costs 0.3b (85.8%)

Compiler

Compiled 471 to 379 computations (19.5% saved)

bsearch19.0ms (0.5%)

Steps

Iters	Range		Point
10	-0.050002429633695195	-3.100575507639719e-13	-0.00010875733412229075

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	28
1	30	28

end0.0ms (0%)

sample1.5s (37.6%)

Algorithm

1×

intervals

Results

509.0ms	2704×	body	1024	valid
131.0ms	1305×	body	512	valid
84.0ms	3051×	body	128	valid
57.0ms	264×	body	2048	valid
43.0ms	676×	body	256	valid

Compiler

Compiled 267 to 212 computations (20.6% saved)

Details

analyze118.0ms (3%)

sample31.0ms (0.8%)

simplify15.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite73.0ms (1.9%)

series80.0ms (2%)

simplify76.0ms (1.9%)

prune61.0ms (1.6%)

localize6.0ms (0.1%)

rewrite62.0ms (1.6%)

series125.0ms (3.2%)

simplify92.0ms (2.4%)

prune66.0ms (1.7%)

localize6.0ms (0.2%)

rewrite268.0ms (6.8%)

series164.0ms (4.2%)

simplify121.0ms (3.1%)

prune190.0ms (4.8%)

localize20.0ms (0.5%)

rewrite198.0ms (5%)

series292.0ms (7.4%)

simplify86.0ms (2.2%)

prune164.0ms (4.2%)

regimes106.0ms (2.7%)

bsearch19.0ms (0.5%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (37.6%)

Profiling