Details

analyze5.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample23.0ms (0.1%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify429.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

prune10.0ms (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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite98.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_2465`
23×	`add-sqr-sqrt_binary64_2487`
20×	`distribute-lft-out_binary64_2416`
18×	`times-frac_binary64_2471`
13×	`add-cube-cbrt_binary64_2500`
10×	`sqrt-prod_binary64_2481`
6×	`associate-/r*_binary64_2409`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

Counts

2 → 55

Calls

2 calls:

42.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
37.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series196.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

165.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
31.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4997	1291
1	4997	1291

prune841.0ms (3.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	33	28	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	29	62

Merged error: 0b

Counts

62 → 29

Compiler

Compiled 1590 to 1226 computations (22.9% saved)

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite65.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_2465`
23×	`add-sqr-sqrt_binary64_2487`
20×	`distribute-lft-out_binary64_2416`
18×	`times-frac_binary64_2471`
13×	`add-cube-cbrt_binary64_2500`
10×	`sqrt-prod_binary64_2481`
6×	`associate-/r*_binary64_2409`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

Counts

2 → 55

Calls

2 calls:

34.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
16.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

series300.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

240.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
60.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

simplify242.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	4997	1291
1	4997	1291

prune1.3s (4.8%)

Pruning

51 alts after pruning (49 fresh and 2 done)

	Pruned	Kept	Total
New	37	24	61
Fresh	2	25	27
Picked	0	1	1
Done	0	1	1
Total	39	51	90

Merged error: 0b

Counts

90 → 51

Compiler

Compiled 2241 to 1791 computations (20.1% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite47.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_2465`
23×	`add-sqr-sqrt_binary64_2487`
20×	`distribute-lft-out_binary64_2416`
18×	`times-frac_binary64_2471`
13×	`add-cube-cbrt_binary64_2500`
10×	`sqrt-prod_binary64_2481`
6×	`associate-/r*_binary64_2409`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

Counts

2 → 55

Calls

2 calls:

16.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
11.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

series386.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

325.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
54.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

simplify197.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4997	1291
1	4997	1291

prune1.4s (5.1%)

Pruning

70 alts after pruning (67 fresh and 3 done)

	Pruned	Kept	Total
New	38	23	61
Fresh	4	44	48
Picked	0	1	1
Done	0	2	2
Total	42	70	112

Merged error: 0b

Counts

112 → 70

Compiler

Compiled 2885 to 2361 computations (18.2% saved)

localize36.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite79.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_2465`
23×	`add-sqr-sqrt_binary64_2487`
20×	`distribute-lft-out_binary64_2416`
18×	`times-frac_binary64_2471`
13×	`add-cube-cbrt_binary64_2500`
10×	`sqrt-prod_binary64_2481`
6×	`associate-/r*_binary64_2409`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

Counts

2 → 55

Calls

2 calls:

32.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
30.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series315.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

242.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
73.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

simplify242.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4997	1291
1	4997	1291

prune1.6s (6.1%)

Pruning

86 alts after pruning (82 fresh and 4 done)

	Pruned	Kept	Total
New	39	22	61
Fresh	6	60	66
Picked	0	1	1
Done	0	3	3
Total	45	86	131

Merged error: 0b

Counts

131 → 86

Compiler

Compiled 1391 to 1125 computations (19.1% saved)

regimes3.6s (13.1%)

Compiler: Compiled 6806 to 5873 computations (13.7% saved)

bsearch0.0ms (0%)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	13	12
1	13	12

end0.0ms (0%)

sample15.6s (57.4%)

Algorithm

1×

intervals

Results

891.0ms	7997×	body	128	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 3169 to 2729 computations (13.9% saved)

Pareto

Details

analyze5.0ms (0%)

sample23.0ms (0.1%)

simplify429.0ms (1.6%)

prune10.0ms (0%)

localize25.0ms (0.1%)

rewrite98.0ms (0.4%)

series196.0ms (0.7%)

simplify118.0ms (0.4%)

prune841.0ms (3.1%)

localize24.0ms (0.1%)

rewrite65.0ms (0.2%)

series300.0ms (1.1%)

simplify242.0ms (0.9%)

prune1.3s (4.8%)

localize17.0ms (0.1%)

rewrite47.0ms (0.2%)

series386.0ms (1.4%)

simplify197.0ms (0.7%)

prune1.4s (5.1%)

localize36.0ms (0.1%)

rewrite79.0ms (0.3%)

series315.0ms (1.2%)

simplify242.0ms (0.9%)

prune1.6s (6.1%)

regimes3.6s (13.1%)

bsearch0.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample15.6s (57.4%)

Profiling