Details

analyze161.0ms (3.9%)

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)

sample30.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	90×	body	1024	valid
4.0ms	44×	body	512	valid
2.0ms	92×	body	128	valid
1.0ms	9×	body	2048	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify14.0ms (0.3%)

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%)

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

42.4b

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)
5.9b	(-.f64 (exp.f64 x) 1)

rewrite113.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

41.6b

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:

8.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 754 to 428 computations (43.2% saved)

series90.0ms (2.2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

50.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
25.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 230 to 186 computations (19.1% saved)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune67.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Error

0.0b

Counts

77 → 4

Compiler

Compiled 675 to 394 computations (41.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite57.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_2828`
6×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `-un-lft-identity_binary64_2806` `associate-l_binary64_2747` `associate-r*_binary64_2746`
2×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `-commutative_binary64_2737` `associate-r/_binary64_2748`
1×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3-+_binary64_2809` `flip-+_binary64_2780`

Counts

2 → 40

Calls

2 calls:

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

Compiler

Compiled 562 to 435 computations (22.6% saved)

series106.0ms (2.6%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

74.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
26.0ms	(*.f64 x 1/6)

Compiler

Compiled 171 to 154 computations (9.9% saved)

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4923	458
1	4923	458

prune49.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Error

0.0b

Counts

53 → 4

Compiler

Compiled 553 to 428 computations (22.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
0.2b	(sqrt.f64 (exp.f64 x))
0.2b	(sqrt.f64 (exp.f64 x))
6.0b	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

rewrite133.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`*-un-lft-identity_binary64_2806`
15×	`add-sqr-sqrt_binary64_2828`
10×	`add-cube-cbrt_binary64_2841`
8×	`pow1_binary64_2867` `sqrt-pow1_binary64_2824`
7×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `sqrt-prod_binary64_2822`
6×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `exp-prod_binary64_2858`
5×	`associate-l_binary64_2747`
4×	`distribute-lft-out_binary64_2757` `frac-times_binary64_2816` `associate-r_binary64_2746`
2×	`pow1/2_binary64_2886` `rem-sqrt-square_binary64_2819` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`sum-log_binary64_2897` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `*-commutative_binary64_2737`

Counts

4 → 75

Calls

4 calls:

13.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
4.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 1487 to 742 computations (50.1% saved)

series210.0ms (5.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

80.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
43.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
31.0ms	(sqrt.f64 (exp.f64 x))
30.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 799 to 589 computations (26.3% saved)

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5347	1128

prune120.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Error

0.0b

Counts

103 → 4

Compiler

Compiled 1446 to 780 computations (46.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
0.0b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
5.9b	(-.f64 (exp.f64 x) 1)
5.9b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))

rewrite186.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`add-sqr-sqrt_binary64_2828`
51×	`*-un-lft-identity_binary64_2806`
42×	`exp-prod_binary64_2858`
40×	`log-pow_binary64_2895`
33×	`times-frac_binary64_2812`
30×	`add-cube-cbrt_binary64_2841`
14×	`difference-of-squares_binary64_2775`
11×	`associate-/l*_binary64_2751`
9×	`pow1_binary64_2867` `cancel-sign-sub-inv_binary64_2772` `add-log-exp_binary64_2845`
8×	`exp-sum_binary64_2852`
7×	`difference-of-sqr-1_binary64_2776` `distribute-lft-out--_binary64_2758` `log-prod_binary64_2892`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`exp-diff_binary64_2854` `sub-neg_binary64_2799` `associate-/r*_binary64_2750`
2×	`log-div_binary64_2893` `diff-log_binary64_2898` `rem-exp-log_binary64_2846`
1×	`rem-log-exp_binary64_2847` `flip3--_binary64_2810` `flip--_binary64_2781` `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

4 → 123

Calls

4 calls:

12.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
7.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
6.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 1614 to 1038 computations (35.7% saved)

series402.0ms (9.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

194.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
131.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
35.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
24.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 484 to 394 computations (18.6% saved)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6074	1862

prune118.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	147	4	151

Error

0.0b

Counts

151 → 4

Compiler

Compiled 1221 to 734 computations (39.9% saved)

regimes876.0ms (21.3%)

Accuracy

Total 0.2b remaining (83.7%)

Threshold costs 0.2b (83.7%)

Compiler

Compiled 6362 to 4863 computations (23.6% saved)

bsearch9.0ms (0.2%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	94
1	35	94

end3.0ms (0.1%)

Compiler: Compiled 62 to 45 computations (27.4% saved)

sample1.1s (25.8%)

Algorithm

1×

intervals

Results

409.0ms	2645×	body	1024	valid
120.0ms	1377×	body	512	valid
75.0ms	3029×	body	128	valid
51.0ms	288×	body	2048	valid
36.0ms	661×	body	256	valid

Compiler

Compiled 147 to 113 computations (23.1% saved)

Details

analyze161.0ms (3.9%)

sample30.0ms (0.7%)

simplify14.0ms (0.3%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite113.0ms (2.7%)

series90.0ms (2.2%)

simplify60.0ms (1.4%)

prune67.0ms (1.6%)

localize6.0ms (0.1%)

rewrite57.0ms (1.4%)

series106.0ms (2.6%)

simplify77.0ms (1.9%)

prune49.0ms (1.2%)

localize8.0ms (0.2%)

rewrite133.0ms (3.2%)

series210.0ms (5.1%)

simplify69.0ms (1.7%)

prune120.0ms (2.9%)

localize7.0ms (0.2%)

rewrite186.0ms (4.5%)

series402.0ms (9.8%)

simplify74.0ms (1.8%)

prune118.0ms (2.9%)

regimes876.0ms (21.3%)

bsearch9.0ms (0.2%)

simplify3.0ms (0.1%)

end3.0ms (0.1%)

sample1.1s (25.8%)

Profiling