Details

analyze173.0ms (2.9%)

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)

sample50.0ms (0.8%)

Algorithm

1×

intervals

Results

24.0ms	83×	body	1024	valid
6.0ms	41×	body	512	valid
4.0ms	107×	body	128	valid
2.0ms	8×	body	2048	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9

prune4.0ms (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

38.2b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (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)

rewrite125.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

37.9b

Rules

35×	`add-sqr-sqrt_binary64_2487`
30×	`*-un-lft-identity_binary64_2465`
21×	`times-frac_binary64_2471`
15×	`add-cube-cbrt_binary64_2500`
10×	`difference-of-squares_binary64_2434`
7×	`associate-/l*_binary64_2410`
5×	`difference-of-sqr-1_binary64_2435` `distribute-lft-out--_binary64_2417`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`cancel-sign-sub-inv_binary64_2431` `associate-/r*_binary64_2409`
2×	`pow1_binary64_2526` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-/l/_binary64_2412`
1×	`diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

2 → 64

Calls

2 calls:

13.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
9.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 893 to 496 computations (44.5% saved)

series112.0ms (1.9%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

56.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
31.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify110.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4961	1076
1	4961	1076

prune101.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	3	77

Error

0.0b

Counts

77 → 3

Compiler

Compiled 928 to 510 computations (45% saved)

localize17.0ms (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)))
0.3b	(*.f64 x 1/24)

rewrite183.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_2487`
10×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`associate-l_binary64_2406` `associate-r_binary64_2405`
6×	`add-log-exp_binary64_2504`
4×	`associate-*r/_binary64_2407`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439`
2×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 73

Calls

4 calls:

10.0ms	(*.f64 x 1/24)
10.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
10.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
5.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1504 to 1164 computations (22.6% saved)

series251.0ms (4.2%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

90.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
59.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
46.0ms	(+.f64 1/6 (*.f64 x 1/24))
31.0ms	(*.f64 x 1/24)

Compiler

Compiled 630 to 531 computations (15.7% saved)

simplify146.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune153.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Error

0.0b

Counts

96 → 3

Compiler

Compiled 1616 to 1250 computations (22.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.9b	(-.f64 (exp.f64 x) 1)
4.9b	(-.f64 (exp.f64 x) 1)

rewrite139.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`cancel-sign-sub-inv_binary64_2431` `cbrt-prod_binary64_2496`
4×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `difference-of-squares_binary64_2434`
2×	`diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-sqr-1_binary64_2435` `distribute-lft-out--_binary64_2417` `pow1/3_binary64_2547`

Counts

4 → 58

Calls

4 calls:

8.0ms	(-.f64 (exp.f64 x) 1)
8.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

Compiler

Compiled 1478 to 730 computations (50.6% saved)

series343.0ms (5.8%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

120.0ms	(cbrt.f64 x)
119.0ms	(cbrt.f64 x)
37.0ms	(-.f64 (exp.f64 x) 1)
35.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 1064 to 686 computations (35.5% saved)

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4883	626
1	4883	626

prune131.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	76	3	79

Error

0.0b

Counts

79 → 3

Compiler

Compiled 1815 to 886 computations (51.2% saved)

localize34.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.9b	(-.f64 (exp.f64 x) 1)
4.9b	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

rewrite145.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`*-un-lft-identity_binary64_2465`
11×	`add-sqr-sqrt_binary64_2487`
8×	`add-log-exp_binary64_2504`
7×	`add-cube-cbrt_binary64_2500`
6×	`cbrt-prod_binary64_2496`
4×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`cancel-sign-sub-inv_binary64_2431`
2×	`difference-of-squares_binary64_2434` `pow1/3_binary64_2547`
1×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `+-commutative_binary64_2395` `diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `difference-of-sqr-1_binary64_2435` `distribute-lft-out--_binary64_2417`

Counts

4 → 52

Calls

4 calls:

8.0ms	(-.f64 (exp.f64 x) 1)
8.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

Compiler

Compiled 1692 to 806 computations (52.4% saved)

series395.0ms (6.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

131.0ms	(cbrt.f64 x)
128.0ms	(cbrt.f64 x)
53.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
42.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 1394 to 870 computations (37.6% saved)

simplify168.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4981	604
1	4981	604

prune148.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	70	3	73

Error

0.0b

Counts

73 → 3

Compiler

Compiled 2137 to 1022 computations (52.2% saved)

regimes234.0ms (3.9%)

Accuracy

Total 0.6b remaining (96.8%)

Threshold costs 0.6b (96.8%)

Compiler

Compiled 1003 to 739 computations (26.3% saved)

bsearch4.0ms (0.1%)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	51
1	54	51

end0.0ms (0%)

sample2.6s (43.8%)

Algorithm

1×

intervals

Results

751.0ms	2702×	body	1024	valid
195.0ms	1327×	body	512	valid
125.0ms	3064×	body	128	valid
77.0ms	255×	body	2048	valid
66.0ms	652×	body	256	valid

Compiler

Compiled 548 to 403 computations (26.5% saved)

Details

analyze173.0ms (2.9%)

sample50.0ms (0.8%)

simplify28.0ms (0.5%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite125.0ms (2.1%)

series112.0ms (1.9%)

simplify110.0ms (1.8%)

prune101.0ms (1.7%)

localize17.0ms (0.3%)

rewrite183.0ms (3.1%)

series251.0ms (4.2%)

simplify146.0ms (2.5%)

prune153.0ms (2.6%)

localize20.0ms (0.3%)

rewrite139.0ms (2.3%)

series343.0ms (5.8%)

simplify115.0ms (1.9%)

prune131.0ms (2.2%)

localize34.0ms (0.6%)

rewrite145.0ms (2.4%)

series395.0ms (6.6%)

simplify168.0ms (2.8%)

prune148.0ms (2.5%)

regimes234.0ms (3.9%)

bsearch4.0ms (0.1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.6s (43.8%)

Profiling