Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify297.0ms (13.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4936	13
1	4936	13

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: 0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_414`
15×	`times-frac_binary64_420`
12×	`add-cube-cbrt_binary64_446` `add-sqr-sqrt_binary64_435`
5×	`cosh-undef_binary64_605` `distribute-lft-out_binary64_367` `associate-/r*_binary64_360`
4×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `add-log-exp_binary64_450`
3×	`associate-/l*_binary64_361`
2×	`associate-/r/_binary64_362` `pow1_binary64_472` `flip3-+_binary64_417` `flip-+_binary64_388`
1×	`clear-num_binary64_413` `div-inv_binary64_411` `+-commutative_binary64_346` `cbrt-undiv_binary64_445` `frac-2neg_binary64_425` `sum-log_binary64_502` `div-exp_binary64_462`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series113.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
27.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify96.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4884	954
1	4884	954

prune44.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

Compiler

Compiled 788 to 334 computations (57.6% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)

rewrite51.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_414`
75×	`times-frac_binary64_420`
52×	`add-cube-cbrt_binary64_446` `add-sqr-sqrt_binary64_435`
48×	`cbrt-prod_binary64_442`
42×	`cube-prod_binary64_439` `unpow-prod-down_binary64_490`
17×	`cosh-undef_binary64_605` `distribute-lft-out_binary64_367`
10×	`associate-/r/_binary64_362`
9×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
6×	`flip3-+_binary64_417` `add-log-exp_binary64_450` `flip-+_binary64_388`
5×	`pow1_binary64_472` `div-inv_binary64_411` `associate-/r*_binary64_360`
3×	`pow-unpow_binary64_488` `associate-/l*_binary64_361`
2×	`cube-mult_binary64_441` `sqr-pow_binary64_386` `cbrt-undiv_binary64_445` `pow-exp_binary64_479` `unpow3_binary64_477` `cube-div_binary64_440` `rem-cube-cbrt_binary64_436` `div-exp_binary64_462`
1×	`clear-num_binary64_413` `cbrt-div_binary64_443` `+-commutative_binary64_346` `pow-pow_binary64_483` `rem-cbrt-cube_binary64_437` `pow-to-exp_binary64_480` `frac-2neg_binary64_425` `pow1/3_binary64_493` `sum-log_binary64_502`

Counts

4 → 170

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
10.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series361.0ms (16.8%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
83.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
83.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5391	3566

prune148.0ms (6.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	182	3	185

Merged error: 0b

Counts

185 → 3

Compiler

Compiled 2898 to 1494 computations (48.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(cosh.f64 x)
0.5b	(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))

rewrite30.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64_435`
48×	`times-frac_binary64_420`
28×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
24×	`sqrt-prod_binary64_429`
23×	`associate-r_binary64_356`
22×	`associate-l_binary64_357`
14×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
9×	`unswap-sqr_binary64_382`
4×	`pow1_binary64_472` `cbrt-undiv_binary64_445` `prod-exp_binary64_460` `cbrt-unprod_binary64_444` `div-exp_binary64_462`
2×	`div-inv_binary64_411` `add-log-exp_binary64_450` `cosh-def_binary64_597`
1×	`associate-/r/_binary64_362` `associate-l/_binary64_359` `-commutative_binary64_347` `pow-prod-down_binary64_482` `frac-times_binary64_424` `associate-*r/_binary64_358`

Counts

2 → 82

Calls

2 calls:

20.0ms	(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
1.0ms	(cosh.f64 x)

series270.0ms (12.6%)

Counts

2 → 6

Calls

2 calls:

219.0ms	(*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 2) (cosh.f64 x)))
51.0ms	(cosh.f64 x)

simplify89.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4886	1188
1	4886	1188

prune77.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Merged error: 0b

Counts

91 → 3

Compiler

Compiled 1233 to 920 computations (25.4% saved)

regimes25.0ms (1.1%)

Compiler: Compiled 117 to 107 computations (8.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms (0%)

sample432.0ms (20.1%)

Algorithm

1×

intervals

Results

249.0ms

8000×

body

128

valid

Compiler

Compiled 46 to 43 computations (6.5% saved)

Details

analyze2.0ms (0.1%)

sample12.0ms (0.6%)

simplify297.0ms (13.8%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite17.0ms (0.8%)

series113.0ms (5.3%)

simplify96.0ms (4.5%)

prune44.0ms (2%)

localize8.0ms (0.4%)

rewrite51.0ms (2.4%)

series361.0ms (16.8%)

simplify63.0ms (2.9%)

prune148.0ms (6.9%)

localize6.0ms (0.3%)

rewrite30.0ms (1.4%)

series270.0ms (12.6%)

simplify89.0ms (4.1%)

prune77.0ms (3.6%)

regimes25.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample432.0ms (20.1%)

Profiling