Details

analyze1.5s (12.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample35.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
6.0ms	116×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify272.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5230	31

prune3.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y 1) z)
0.0b	(-.f64 x (*.f64 (-.f64 y 1) z))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_435`
16×	`*-un-lft-identity_binary64_414`
13×	`associate-l_binary64_357`
11×	`add-log-exp_binary64_450`
8×	`flip3--_binary64_418` `associate-*l/_binary64_359` `pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `flip--_binary64_389`
6×	`associate-r_binary64_356`
4×	`diff-log_binary64_503` `frac-sub_binary64_423`
3×	`distribute-lft-out--_binary64_368` `difference-of-squares_binary64_383` `sub-neg_binary64_407`
2×	`*-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444`
1×	`associate--l+_binary64_353` `associate--l-_binary64_354` `distribute-lft-out_binary64_367` `difference-of-sqr-1_binary64_384`

Counts

4 → 76

Calls

4 calls:

10.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
8.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
7.0ms	(*.f64 (-.f64 y 1) z)
3.0ms	(-.f64 x (*.f64 (-.f64 y 1) z))

series283.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
45.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
40.0ms	(-.f64 x (*.f64 (-.f64 y 1) z))
34.0ms	(*.f64 (-.f64 y 1) z)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5517	1534

prune119.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

Compiler

Compiled 2576 to 1547 computations (39.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (*.f64 (-.f64 y 1) z))
0.5b	(cbrt.f64 (*.f64 (-.f64 y 1) z))
0.5b	(cbrt.f64 (*.f64 (-.f64 y 1) z))
0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 y 1) z)) (cbrt.f64 (*.f64 (-.f64 y 1) z)))

rewrite38.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64_359`
18×	`cbrt-div_binary64_443`
11×	`pow1_binary64_472`
10×	`add-sqr-sqrt_binary64_435`
9×	`flip3--_binary64_418` `flip--_binary64_389` `pow1/3_binary64_493`
8×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
7×	`cbrt-prod_binary64_442`
6×	`add-exp-log_binary64_449`
4×	`add-cbrt-cube_binary64_447` `associate-l_binary64_357` `add-log-exp_binary64_450` `swap-sqr_binary64_381` `associate-r_binary64_356` `frac-times_binary64_424`
2×	`pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387` `associate-*r/_binary64_358`
1×	`pow-plus_binary64_474` `*-commutative_binary64_347` `prod-exp_binary64_460` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `pow2_binary64_492`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y 1) z)) (cbrt.f64 (*.f64 (-.f64 y 1) z)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))
5.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))

series435.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y 1) z)) (cbrt.f64 (*.f64 (-.f64 y 1) z)))
107.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))
100.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))
99.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5450	1335

prune152.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

Compiler

Compiled 3459 to 2229 computations (35.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (+.f64 x (.f64 (-.f64 y 1) z)) (-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1))))
1.6b	(-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1)))
4.0b	(.f64 a (-.f64 (.f64 t t) 1))
35.6b	(/.f64 (.f64 (+.f64 x (.f64 (-.f64 y 1) z)) (-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1)))) (.f64 (+.f64 1 t) (+.f64 x (.f64 (-.f64 y 1) z))))

rewrite150.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`associate-*r/_binary64_358`
132×	`frac-times_binary64_424`
112×	`frac-sub_binary64_423`
106×	`flip3--_binary64_418` `flip--_binary64_389`
86×	`flip3-+_binary64_417` `flip-+_binary64_388`
56×	`associate-/l/_binary64_363`
34×	`associate-*l/_binary64_359`
20×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
13×	`add-sqr-sqrt_binary64_435`
9×	`-un-lft-identity_binary64_414` `associate-r*_binary64_356`
8×	`associate-/r/_binary64_362` `distribute-lft-in_binary64_365` `pow1_binary64_472` `distribute-rgt-in_binary64_366` `add-cube-cbrt_binary64_446`
7×	`sub-neg_binary64_407`
6×	`associate--l+_binary64_353` `prod-exp_binary64_460` `associate-l_binary64_357` `add-log-exp_binary64_450` `cbrt-unprod_binary64_444`
4×	`cbrt-undiv_binary64_445` `div-exp_binary64_462`
2×	`difference-of-squares_binary64_383` `*-commutative_binary64_347` `pow-prod-down_binary64_482` `associate--r+_binary64_352` `unswap-sqr_binary64_382`
1×	`clear-num_binary64_413` `times-frac_binary64_420` `diff-log_binary64_503` `div-inv_binary64_411` `frac-2neg_binary64_425` `difference-of-sqr-1_binary64_384` `associate-/l_binary64_361` `associate-/r_binary64_360`

Counts

4 → 221

Calls

4 calls:

32.0ms	(/.f64 (.f64 (+.f64 x (.f64 (-.f64 y 1) z)) (-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1)))) (.f64 (+.f64 1 t) (+.f64 x (.f64 (-.f64 y 1) z))))
21.0ms	(.f64 (+.f64 x (.f64 (-.f64 y 1) z)) (-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1))))
12.0ms	(-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1)))
8.0ms	(.f64 a (-.f64 (.f64 t t) 1))

series1.8s (15.2%)

Counts

4 → 12

Calls

4 calls:

750.0ms	(/.f64 (.f64 (+.f64 x (.f64 (-.f64 y 1) z)) (-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1)))) (.f64 (+.f64 1 t) (+.f64 x (.f64 (-.f64 y 1) z))))
632.0ms	(.f64 (+.f64 x (.f64 (-.f64 y 1) z)) (-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1))))
358.0ms	(-.f64 (.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (+.f64 1 t)) (.f64 a (-.f64 (.f64 t t) 1)))
74.0ms	(.f64 a (-.f64 (.f64 t t) 1))

simplify173.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4976	15223
1	4976	15223

prune1.2s (10%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	233	4	237

Merged error: 0.0b

Counts

237 → 4

Compiler

Compiled 19917 to 11883 computations (40.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
0.1b	(pow.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) 3)
44.2b	(cbrt.f64 (pow.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) 3))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_414`
16×	`flip3--_binary64_418` `flip--_binary64_389` `add-sqr-sqrt_binary64_435`
14×	`associate-*l/_binary64_359`
12×	`add-cube-cbrt_binary64_446` `frac-sub_binary64_423` `cbrt-prod_binary64_442` `cube-div_binary64_440`
9×	`add-log-exp_binary64_450`
7×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
6×	`cbrt-div_binary64_443` `cube-prod_binary64_439` `associate-l_binary64_357` `unpow-prod-down_binary64_490`
3×	`diff-log_binary64_503` `pow-unpow_binary64_488` `associate-r_binary64_356`
2×	`distribute-lft-out--_binary64_368` `cube-mult_binary64_441` `sqr-pow_binary64_386` `sub-neg_binary64_407` `unpow3_binary64_477`
1×	`associate--l+_binary64_353` `difference-of-squares_binary64_383` `associate--l-_binary64_354` `*-commutative_binary64_347` `pow-pow_binary64_483` `prod-exp_binary64_460` `pow-exp_binary64_479` `pow-prod-down_binary64_482` `rem-cbrt-cube_binary64_437` `pow-to-exp_binary64_480` `distribute-lft-out_binary64_367` `pow1/3_binary64_493` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `rem-cube-cbrt_binary64_436`

Counts

4 → 97

Calls

4 calls:

9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
8.0ms	(pow.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) 3)
8.0ms	(cbrt.f64 (pow.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) 3))
7.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))

series3.8s (32%)

Counts

4 → 12

Calls

4 calls:

3.4s	(pow.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) 3)
203.0ms	(cbrt.f64 (pow.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) 3))
154.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
46.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5048	3323

prune169.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

Compiler

Compiled 3833 to 2388 computations (37.7% saved)

regimes107.0ms (0.9%)

Compiler: Compiled 950 to 859 computations (9.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	167	31
1	167	31

end0.0ms (0%)

sample1.3s (10.7%)

Algorithm

1×

intervals

Results

448.0ms	7999×	body	128	valid
242.0ms	4413×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 171 to 152 computations (11.1% saved)

Details

analyze1.5s (12.2%)

sample35.0ms (0.3%)

simplify272.0ms (2.3%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite36.0ms (0.3%)

series283.0ms (2.4%)

simplify73.0ms (0.6%)

prune119.0ms (1%)

localize19.0ms (0.2%)

rewrite38.0ms (0.3%)

series435.0ms (3.7%)

simplify99.0ms (0.8%)

prune152.0ms (1.3%)

localize27.0ms (0.2%)

rewrite150.0ms (1.3%)

series1.8s (15.2%)

simplify173.0ms (1.5%)

prune1.2s (10%)

localize21.0ms (0.2%)

rewrite46.0ms (0.4%)

series3.8s (32%)

simplify79.0ms (0.7%)

prune169.0ms (1.4%)

regimes107.0ms (0.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.3s (10.7%)

Profiling