Details

analyze232.0ms (10.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify176.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	134	18
1	134	18

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

Merged error: 2.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.2b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
6.5b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite37.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_12463` `add-sqr-sqrt_binary64_12485`
14×	`add-cube-cbrt_binary64_12498`
9×	`times-frac_binary64_12469`
8×	`add-log-exp_binary64_12502` `add-cbrt-cube_binary64_12499`
7×	`add-exp-log_binary64_12501`
6×	`pow1_binary64_12524`
3×	`associate-l_binary64_12404` `associate-/l_binary64_12408` `associate-r_binary64_12403` `associate-/r_binary64_12407`
2×	`associate-/r/_binary64_12409` `flip--_binary64_12438` `flip3--_binary64_12467`
1×	`clear-num_binary64_12462` `prod-exp_binary64_12512` `cbrt-undiv_binary64_12497` `unswap-sqr_binary64_12431` `sub-neg_binary64_12456` `cbrt-unprod_binary64_12496` `*-commutative_binary64_12394` `+-commutative_binary64_12393` `cancel-sign-sub-inv_binary64_12429` `diff-log_binary64_12555` `pow-prod-down_binary64_12534` `frac-2neg_binary64_12474` `distribute-lft-out_binary64_12414` `flip3-+_binary64_12466` `div-inv_binary64_12460` `sum-log_binary64_12554` `div-exp_binary64_12514` `flip-+_binary64_12437`

Counts

4 → 71

Calls

4 calls:

11.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
8.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
6.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
6.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))

series391.0ms (17.6%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
97.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
79.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
22.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

simplify69.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5068	1533

prune164.0ms (7.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

Compiler

Compiled 3044 to 1781 computations (41.5% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

0.0b

(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)))

0.1b

(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

rewrite42.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64_12463`
25×	`add-sqr-sqrt_binary64_12485`
15×	`times-frac_binary64_12469` `add-cube-cbrt_binary64_12498`
8×	`add-exp-log_binary64_12501`
7×	`add-cbrt-cube_binary64_12499`
6×	`pow1_binary64_12524`
5×	`associate-/r*_binary64_12407` `add-log-exp_binary64_12502`
4×	`distribute-lft-out--_binary64_12415` `difference-of-squares_binary64_12432`
3×	`associate-l_binary64_12404` `associate-/l_binary64_12408` `associate-r*_binary64_12403`
2×	`associate-/r/_binary64_12409` `distribute-lft-out_binary64_12414` `div-inv_binary64_12460` `div-exp_binary64_12514`
1×	`clear-num_binary64_12462` `prod-exp_binary64_12512` `cbrt-undiv_binary64_12497` `unswap-sqr_binary64_12431` `rec-exp_binary64_12513` `cbrt-unprod_binary64_12496` `*-commutative_binary64_12394` `flip--_binary64_12438` `+-commutative_binary64_12393` `1-exp_binary64_12507` `inv-pow_binary64_12548` `pow-prod-down_binary64_12534` `frac-2neg_binary64_12474` `flip3-+_binary64_12466` `pow-flip_binary64_12537` `sum-log_binary64_12554` `flip3--_binary64_12467` `flip-+_binary64_12437`

Counts

3 → 72

Calls

3 calls:

15.0ms

(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)))

10.0ms

(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

10.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

series260.0ms (11.7%)

Counts

3 → 9

Calls

3 calls:

169.0ms

(/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x))

73.0ms

(+.f64 x (/.f64 1 (-.f64 (/.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) y) x)))

18.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

simplify64.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5002	1505

prune76.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0b

Counts

83 → 2

Compiler

Compiled 1501 to 944 computations (37.1% saved)

regimes53.0ms (2.4%)

Compiler: Compiled 186 to 184 computations (1.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms (0%)

sample617.0ms (27.8%)

Algorithm

1×

intervals

Results

339.0ms

8000×

body

128

valid

Compiler

Compiled 61 to 57 computations (6.6% saved)

Details

analyze232.0ms (10.5%)

sample18.0ms (0.8%)

simplify176.0ms (7.9%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite37.0ms (1.7%)

series391.0ms (17.6%)

simplify69.0ms (3.1%)

prune164.0ms (7.4%)

localize9.0ms (0.4%)

rewrite42.0ms (1.9%)

series260.0ms (11.7%)

simplify64.0ms (2.9%)

prune76.0ms (3.4%)

regimes53.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample617.0ms (27.8%)

Profiling