Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample83.0ms (2%)

Algorithm

1×

intervals

Results

49.0ms	126×	body	1024	valid
16.0ms	71×	body	512	valid
6.0ms	11×	body	2048	valid
4.0ms	33×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	450	15
1	450	15

prune5.0ms (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

Merged error: 59.5b

Counts

2 → 2

Compiler

Compiled 54 to 49 computations (9.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
4.9b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

12.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

series77.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
24.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4937	1898
1	4937	1898

prune209.0ms (5.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 0.0b

Counts

99 → 2

Compiler

Compiled 3339 to 2819 computations (15.6% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
12×	`add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`add-cbrt-cube_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))

series112.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(*.f64 2/5 (pow.f64 x 5))
52.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5192	594

prune77.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Merged error: 0.0b

Counts

64 → 2

Compiler

Compiled 1459 to 1086 computations (25.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
4.9b	(log.f64 (-.f64 1 x))
4.9b	(log.f64 (+.f64 1 x))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
16×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64`
8×	`add-cube-cbrt_binary64` `log-div_binary64`
7×	`log-pow_binary64`
6×	`associate--r+_binary64` `distribute-lft-out--_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 66

Calls

3 calls:

12.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series119.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
26.0ms	(log.f64 (+.f64 1 x))
24.0ms	(log.f64 (-.f64 1 x))

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4890	1093
1	4890	1093

prune91.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

77 → 2

Compiler

Compiled 1607 to 1338 computations (16.7% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 (.f64 1 1) (.f64 x x))) (*.f64 (log.f64 (-.f64 1 x)) 2))
2.7b	(log.f64 (-.f64 (.f64 1 1) (.f64 x x)))
4.9b	(log.f64 (-.f64 1 x))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`log-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `log-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate--l+_binary64`
3×	`add-cbrt-cube_binary64`
2×	`associate--l-_binary64` `rem-log-exp_binary64` `log-pow_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64`

Counts

3 → 50

Calls

3 calls:

9.0ms	(-.f64 (log.f64 (-.f64 (.f64 1 1) (.f64 x x))) (*.f64 (log.f64 (-.f64 1 x)) 2))
6.0ms	(log.f64 (-.f64 (.f64 1 1) (.f64 x x)))
4.0ms	(log.f64 (-.f64 1 x))

series190.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(-.f64 (log.f64 (-.f64 (.f64 1 1) (.f64 x x))) (*.f64 (log.f64 (-.f64 1 x)) 2))
66.0ms	(log.f64 (-.f64 (.f64 1 1) (.f64 x x)))
24.0ms	(log.f64 (-.f64 1 x))

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4985	1060
1	4985	1060

prune77.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	59	2	61

Merged error: 0.0b

Counts

61 → 2

Compiler

Compiled 1536 to 1201 computations (21.8% saved)

regimes9.0ms (0.2%)

Compiler: Compiled 49 to 42 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	25
1	22	25

end0.0ms (0%)

sample2.6s (64.1%)

Algorithm

1×

intervals

Results

1.5s	3935×	body	1024	valid
445.0ms	2023×	body	512	valid
236.0ms	404×	body	2048	valid
134.0ms	1047×	body	256	valid
36.0ms	591×	body	128	valid

Compiler

Compiled 77 to 67 computations (13% saved)

Details

analyze5.0ms (0.1%)

sample83.0ms (2%)

simplify23.0ms (0.6%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite31.0ms (0.8%)

series77.0ms (1.9%)

simplify66.0ms (1.6%)

prune209.0ms (5.1%)

localize12.0ms (0.3%)

rewrite18.0ms (0.4%)

series112.0ms (2.7%)

simplify55.0ms (1.3%)

prune77.0ms (1.9%)

localize9.0ms (0.2%)

rewrite24.0ms (0.6%)

series119.0ms (2.9%)

simplify72.0ms (1.8%)

prune91.0ms (2.2%)

localize11.0ms (0.3%)

rewrite23.0ms (0.6%)

series190.0ms (4.6%)

simplify63.0ms (1.5%)

prune77.0ms (1.9%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (64.1%)

Profiling