Details

analyze2.0ms (0%)

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)

sample34.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	62×	body	1024	valid
5.0ms	42×	body	512	valid
5.0ms	130×	body	128	valid
2.0ms	6×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify262.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4687	15
1	4687	15

prune2.0ms (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: 30.2b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.1%)

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)))
2.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite27.0ms (0.6%)

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)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series158.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
53.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
12.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4900	1370
1	4900	1370

prune89.0ms (1.9%)

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: 0.0b

Counts

73 → 2

Compiler

Compiled 1254 to 1136 computations (9.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
0.0b	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.7b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

rewrite58.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64_414`
23×	`add-sqr-sqrt_binary64_435`
19×	`add-cube-cbrt_binary64_446`
16×	`times-frac_binary64_420`
14×	`flip3-+_binary64_417` `flip-+_binary64_388`
13×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
11×	`pow1_binary64_472` `distribute-lft-out_binary64_367`
10×	`associate-/r/_binary64_362`
8×	`frac-times_binary64_424`
6×	`add-log-exp_binary64_450` `swap-sqr_binary64_381` `associate-/l*_binary64_361`
5×	`associate-/r*_binary64_360`
4×	`associate-l/_binary64_359` `associate-l_binary64_357` `associate-r_binary64_356` `associate-r/_binary64_358`
3×	`cbrt-undiv_binary64_445` `div-exp_binary64_462`
2×	`clear-num_binary64_413` `div-inv_binary64_411` `prod-exp_binary64_460` `frac-2neg_binary64_425` `difference-of-sqr--1_binary64_385` `cbrt-unprod_binary64_444`
1×	`pow-plus_binary64_474` `distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366` `*-commutative_binary64_347` `+-commutative_binary64_346` `pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387` `unswap-sqr_binary64_382` `sum-log_binary64_502` `pow2_binary64_492`

Counts

4 → 116

Calls

4 calls:

16.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
11.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
10.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series341.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
101.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
60.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
32.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4935	2390
1	4935	2390

prune262.0ms (5.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	128	2	130

Merged error: 0b

Counts

130 → 2

Compiler

Compiled 4202 to 3754 computations (10.7% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4))
0.0b	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
0.0b	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
2.7b	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))

rewrite45.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_414`
25×	`add-cube-cbrt_binary64_446` `add-sqr-sqrt_binary64_435`
24×	`times-frac_binary64_420` `unpow-prod-down_binary64_490`
11×	`add-exp-log_binary64_449`
8×	`associate-/r*_binary64_360`
7×	`distribute-lft-out_binary64_367`
6×	`pow1_binary64_472` `pow-unpow_binary64_488` `sqr-pow_binary64_386` `add-cbrt-cube_binary64_447` `add-log-exp_binary64_450`
3×	`pow-exp_binary64_479` `pow-to-exp_binary64_480` `associate-/l*_binary64_361` `div-exp_binary64_462`
2×	`pow-pow_binary64_483`
1×	`clear-num_binary64_413` `flip3-+_binary64_417` `div-inv_binary64_411` `+-commutative_binary64_346` `cbrt-undiv_binary64_445` `flip-+_binary64_388` `frac-2neg_binary64_425` `unpow2_binary64_476` `sum-log_binary64_502`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))
8.0ms	(/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4))
6.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
5.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)

series373.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))
125.0ms	(/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4))
64.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
28.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5093	2168

prune305.0ms (6.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Merged error: 0b

Counts

112 → 2

Compiler

Compiled 4655 to 4274 computations (8.2% saved)

localize10.0ms (0.2%)

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))
0.3b	(*.f64 1/3 (pow.f64 x 3))
18.0b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite29.0ms (0.6%)

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)))

series348.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
64.0ms	(*.f64 2/15 (pow.f64 x 5))
58.0ms	(*.f64 1/3 (pow.f64 x 3))
55.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4892	1189
1	4892	1189

prune96.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

94 → 2

Compiler

Compiled 1636 to 1263 computations (22.8% saved)

regimes411.0ms (9%)

Compiler: Compiled 3293 to 3282 computations (0.3% saved)

bsearch2.0ms (0%)

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	78	147
1	78	147

end0.0ms (0%)

sample1.4s (30.6%)

Algorithm

1×

intervals

Results

448.0ms	2040×	body	1024	valid
155.0ms	4320×	body	128	valid
126.0ms	960×	body	512	valid
53.0ms	187×	body	2048	valid
41.0ms	493×	body	256	valid

Compiler

Compiled 416 to 406 computations (2.4% saved)

Details

analyze2.0ms (0%)

sample34.0ms (0.7%)

simplify262.0ms (5.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite27.0ms (0.6%)

series158.0ms (3.4%)

simplify72.0ms (1.6%)

prune89.0ms (1.9%)

localize14.0ms (0.3%)

rewrite58.0ms (1.3%)

series341.0ms (7.4%)

simplify69.0ms (1.5%)

prune262.0ms (5.7%)

localize20.0ms (0.4%)

rewrite45.0ms (1%)

series373.0ms (8.1%)

simplify74.0ms (1.6%)

prune305.0ms (6.6%)

localize10.0ms (0.2%)

rewrite29.0ms (0.6%)

series348.0ms (7.6%)

simplify76.0ms (1.7%)

prune96.0ms (2.1%)

regimes411.0ms (9%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (30.6%)

Profiling