Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample35.0ms (1.2%)

Algorithm

1×

intervals

Results

15.0ms	64×	body	1024	valid
5.0ms	134×	body	128	valid
5.0ms	36×	body	512	valid
2.0ms	7×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify267.0ms (8.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4687	15
1	4687	15

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: 30.5b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
3.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64_414`
23×	`add-sqr-sqrt_binary64_435`
15×	`times-frac_binary64_420`
12×	`add-cube-cbrt_binary64_446`
7×	`add-log-exp_binary64_450`
5×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `distribute-lft-out_binary64_367`
4×	`difference-of-squares_binary64_383` `associate-/r*_binary64_360`
3×	`pow1_binary64_472` `associate-/l*_binary64_361`
2×	`associate-/r/_binary64_362` `flip3-+_binary64_417` `flip-+_binary64_388` `difference-of-sqr-1_binary64_384`
1×	`flip3--_binary64_418` `clear-num_binary64_413` `distribute-lft-out--_binary64_368` `diff-log_binary64_503` `div-inv_binary64_411` `+-commutative_binary64_346` `cbrt-undiv_binary64_445` `sub-neg_binary64_407` `frac-2neg_binary64_425` `flip--_binary64_389` `sum-log_binary64_502` `div-exp_binary64_462`

Counts

3 → 63

Calls

3 calls:

13.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
7.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series155.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
50.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
13.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4900	1370
1	4900	1370

prune93.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	2	73

Merged error: 0b

Counts

73 → 2

Compiler

Compiled 1254 to 1136 computations (9.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
18.2b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_435`
19×	`associate-r_binary64_356`
14×	`add-exp-log_binary64_449`
11×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-log-exp_binary64_450`
8×	`add-cbrt-cube_binary64_447` `unpow-prod-down_binary64_490`
7×	`unswap-sqr_binary64_382`
6×	`prod-exp_binary64_460` `associate-l_binary64_357`
4×	`pow1_binary64_472` `cube-prod_binary64_439` `sqr-pow_binary64_386`
2×	`diff-log_binary64_503` `*-commutative_binary64_347` `pow-exp_binary64_479` `pow-to-exp_binary64_480` `cbrt-unprod_binary64_444` `sum-log_binary64_502`
1×	`associate--l+_binary64_353` `flip3--_binary64_418` `flip3-+_binary64_417` `cube-mult_binary64_441` `+-commutative_binary64_346` `sub-neg_binary64_407` `unpow3_binary64_477` `flip-+_binary64_388` `flip--_binary64_389`

Counts

4 → 80

Calls

4 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
6.0ms	(*.f64 2/15 (pow.f64 x 5))
3.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))

series343.0ms (11.5%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
69.0ms	(*.f64 2/15 (pow.f64 x 5))
64.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
44.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify80.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4892	1189
1	4892	1189

prune100.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	92	2	94

Merged error: 0b

Counts

94 → 2

Compiler

Compiled 1664 to 1290 computations (22.5% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

rewrite46.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_414`
12×	`add-sqr-sqrt_binary64_435`
11×	`pow1_binary64_472`
10×	`add-log-exp_binary64_450`
9×	`flip3-+_binary64_417` `flip-+_binary64_388` `distribute-lft-out_binary64_367`
8×	`add-cube-cbrt_binary64_446`
6×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `swap-sqr_binary64_381`
4×	`associate-l_binary64_357` `associate-r_binary64_356` `frac-times_binary64_424`
3×	`+-commutative_binary64_346` `sum-log_binary64_502`
2×	`associate-l/_binary64_359` `difference-of-sqr--1_binary64_385` `associate-r/_binary64_358`
1×	`pow-plus_binary64_474` `distribute-lft-in_binary64_365` `times-frac_binary64_420` `distribute-rgt-in_binary64_366` `*-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `pow2_binary64_492`

Counts

4 → 78

Calls

4 calls:

19.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
11.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series191.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
33.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
14.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
11.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify96.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4914	1476
1	4914	1476

prune163.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Merged error: 0b

Counts

92 → 2

Compiler

Compiled 2799 to 2491 computations (11% saved)

regimes123.0ms (4.1%)

Compiler: Compiled 235 to 235 computations (0% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	82
1	68	82

end0.0ms (0%)

sample1.1s (37.6%)

Algorithm

1×

intervals

Results

460.0ms	2088×	body	1024	valid
150.0ms	4207×	body	128	valid
129.0ms	988×	body	512	valid
54.0ms	209×	body	2048	valid
49.0ms	508×	body	256	valid

Compiler

Compiled 106 to 101 computations (4.7% saved)

Details

analyze3.0ms (0.1%)

sample35.0ms (1.2%)

simplify267.0ms (8.9%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite28.0ms (0.9%)

series155.0ms (5.2%)

simplify75.0ms (2.5%)

prune93.0ms (3.1%)

localize10.0ms (0.3%)

rewrite29.0ms (1%)

series343.0ms (11.5%)

simplify80.0ms (2.7%)

prune100.0ms (3.3%)

localize12.0ms (0.4%)

rewrite46.0ms (1.5%)

series191.0ms (6.4%)

simplify96.0ms (3.2%)

prune163.0ms (5.5%)

regimes123.0ms (4.1%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (37.6%)

Profiling