Details

analyze104.0ms (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)

sample30.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms	94×	body	1024	valid
3.0ms	34×	body	512	valid
2.0ms	104×	body	128	valid
1.0ms	19×	body	256	valid
1.0ms	5×	body	2048	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 (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

38.0b

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)
5.1b	(-.f64 (exp.f64 x) 1)

rewrite70.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

37.5b

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 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 893 to 496 computations (44.5% saved)

series63.0ms (1.8%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

32.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
18.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune54.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	2	77

Error

0.0b

Counts

77 → 2

Compiler

Compiled 916 to 504 computations (45% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.1b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.4b	(*.f64 x 1/24)

rewrite100.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1504 to 1164 computations (22.6% saved)

series144.0ms (4.2%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

55.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
33.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
26.0ms	(+.f64 1/6 (*.f64 x 1/24))
18.0ms	(*.f64 x 1/24)

Compiler

Compiled 630 to 531 computations (15.7% saved)

simplify84.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune87.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Error

0.0b

Counts

95 → 2

Compiler

Compiled 1604 to 1244 computations (22.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
0.0b	(exp.f64 (-.f64 (exp.f64 x) 1))
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.1b	(-.f64 (exp.f64 x) 1)

rewrite139.0ms (4%)

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×	`add-log-exp_binary64_2845` `pow1_binary64_2867` `cancel-sign-sub-inv_binary64_2772`
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×	`sub-neg_binary64_2799` `exp-diff_binary64_2854` `associate-/r*_binary64_2750`
2×	`diff-log_binary64_2898` `log-div_binary64_2893` `rem-exp-log_binary64_2846`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `rem-log-exp_binary64_2847` `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:

9.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
6.0ms	(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 1917 to 1216 computations (36.6% saved)

series254.0ms (7.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

126.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
74.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
22.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
17.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 540 to 429 computations (20.6% saved)

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6074	1862

prune95.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Error

0.0b

Counts

149 → 3

Compiler

Compiled 1770 to 1025 computations (42.1% saved)

localize8.0ms (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))) (/.f64 1 x))
5.1b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.1b	(-.f64 (exp.f64 x) 1)

rewrite131.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`add-sqr-sqrt_binary64_2828`
32×	`*-un-lft-identity_binary64_2806`
21×	`exp-prod_binary64_2858`
19×	`add-cube-cbrt_binary64_2841`
16×	`log-pow_binary64_2895`
13×	`add-exp-log_binary64_2844` `associate-r_binary64_2746`
11×	`times-frac_binary64_2812` `associate-l_binary64_2747`
9×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `cancel-sign-sub-inv_binary64_2772`
8×	`pow1_binary64_2867` `difference-of-squares_binary64_2775` `exp-sum_binary64_2852`
7×	`log-prod_binary64_2892`
4×	`difference-of-sqr-1_binary64_2776` `distribute-lft-out--_binary64_2758` `prod-exp_binary64_2855`
3×	`sub-neg_binary64_2799` `unswap-sqr_binary64_2774`
2×	`diff-log_binary64_2898` `exp-diff_binary64_2854` `div-exp_binary64_2857` `cbrt-unprod_binary64_2839` `rem-exp-log_binary64_2846`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `log-div_binary64_2893` `rem-log-exp_binary64_2847` `pow-prod-down_binary64_2877` `1-exp_binary64_2850` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `un-div-inv_binary64_2804` `associate-r/_binary64_2748` `div-inv_binary64_2803` `-commutative_binary64_2737`

Counts

4 → 107

Calls

4 calls:

12.0ms	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
6.0ms	(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 1798 to 1277 computations (29% saved)

series245.0ms (7.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

108.0ms	(*.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) (/.f64 1 x))
78.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
25.0ms	(exp.f64 (-.f64 (exp.f64 x) 1))
18.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 624 to 513 computations (17.8% saved)

simplify69.0ms (2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4935	1330
1	4935	1330

prune92.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 1638 to 1080 computations (34.1% saved)

regimes113.0ms (3.3%)

Accuracy

Total 0.5b remaining (97%)

Threshold costs 0.5b (97%)

Compiler

Compiled 829 to 657 computations (20.7% saved)

bsearch2.0ms (0.1%)

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	47	45
1	47	45

end0.0ms (0%)

sample1.4s (40.2%)

Algorithm

1×

intervals

Results

420.0ms	2665×	body	1024	valid
113.0ms	1293×	body	512	valid
76.0ms	3094×	body	128	valid
46.0ms	254×	body	2048	valid
37.0ms	694×	body	256	valid

Compiler

Compiled 457 to 356 computations (22.1% saved)

Details

analyze104.0ms (3%)

sample30.0ms (0.9%)

simplify14.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite70.0ms (2%)

series63.0ms (1.8%)

simplify59.0ms (1.7%)

prune54.0ms (1.6%)

localize11.0ms (0.3%)

rewrite100.0ms (2.9%)

series144.0ms (4.2%)

simplify84.0ms (2.4%)

prune87.0ms (2.5%)

localize7.0ms (0.2%)

rewrite139.0ms (4%)

series254.0ms (7.4%)

simplify76.0ms (2.2%)

prune95.0ms (2.8%)

localize8.0ms (0.2%)

rewrite131.0ms (3.8%)

series245.0ms (7.1%)

simplify69.0ms (2%)

prune92.0ms (2.7%)

regimes113.0ms (3.3%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (40.2%)

Profiling