Details

analyze1.4s (25.2%)

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)

sample42.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
8.0ms	149×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify198.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4954	31
1	4954	31

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_441`
21×	`*-un-lft-identity_binary64_419`
20×	`associate-l_binary64_360`
10×	`associate-*l/_binary64_362` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`add-log-exp_binary64_458` `associate-r_binary64_359`
8×	`flip3--_binary64_423` `flip--_binary64_394`
5×	`difference-of-squares_binary64_388`
4×	`distribute-lft-out--_binary64_371` `frac-sub_binary64_428`
3×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `diff-log_binary64_511`
2×	`associate--l+_binary64_356` `sub-neg_binary64_412` `difference-of-sqr-1_binary64_389` `cancel-sign-sub-inv_binary64_385`
1×	`distribute-lft-out_binary64_370` `associate--l-_binary64_357`

Counts

4 → 91

Calls

4 calls:

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

series149.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
28.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
21.0ms	(*.f64 (-.f64 t 1) a)
20.0ms	(*.f64 (-.f64 y 1) z)

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5089	1586

prune137.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	5	104

Error

0.0b

Counts

104 → 5

Compiler

Compiled 2964 to 1792 computations (39.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 t 1) a)
0.0b	(-.f64 (-.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) 1)) (+.f64 y 1))) (*.f64 (-.f64 t 1) a))
3.1b	(.f64 z (-.f64 (.f64 y y) 1))
5.6b	(/.f64 (.f64 z (-.f64 (.f64 y y) 1)) (+.f64 y 1))

rewrite54.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_419`
23×	`add-sqr-sqrt_binary64_441`
17×	`cancel-sign-sub-inv_binary64_385`
14×	`add-cube-cbrt_binary64_454`
13×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
11×	`associate--l+_binary64_356`
10×	`associate-l_binary64_360`
9×	`add-log-exp_binary64_458` `associate-r_binary64_359`
8×	`times-frac_binary64_425` `flip3--_binary64_423` `flip--_binary64_394` `pow1_binary64_480`
6×	`associate-*l/_binary64_362`
4×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `distribute-rgt-in_binary64_369` `associate-r/_binary64_361` `associate-/r/_binary64_365` `distribute-lft-in_binary64_368` `associate-/r_binary64_363` `frac-sub_binary64_428`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-out_binary64_370` `diff-log_binary64_511`
2×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `difference-of-sqr-1_binary64_389` `div-inv_binary64_416` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `flip-+_binary64_393` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `distribute-lft-out--_binary64_371` `frac-2neg_binary64_430` `associate--l-_binary64_357` `associate-/l*_binary64_364`

Counts

4 → 111

Calls

4 calls:

13.0ms	(-.f64 (-.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) 1)) (+.f64 y 1))) (*.f64 (-.f64 t 1) a))
11.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) 1)) (+.f64 y 1))
8.0ms	(.f64 z (-.f64 (.f64 y y) 1))
7.0ms	(*.f64 (-.f64 t 1) a)

series300.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(-.f64 (-.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) 1)) (+.f64 y 1))) (*.f64 (-.f64 t 1) a))
67.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) 1)) (+.f64 y 1))
40.0ms	(.f64 z (-.f64 (.f64 y y) 1))
19.0ms	(*.f64 (-.f64 t 1) a)

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4946	2142
1	4946	2142

prune163.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	123	5	128

Error

0.0b

Counts

128 → 5

Compiler

Compiled 3985 to 2357 computations (40.9% saved)

localize21.0ms (0.4%)

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 a (-.f64 (*.f64 t t) 1)) (+.f64 t 1)))
3.1b	(.f64 a (-.f64 (.f64 t t) 1))
6.7b	(/.f64 (.f64 a (-.f64 (.f64 t t) 1)) (+.f64 t 1))

rewrite50.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_419`
23×	`add-sqr-sqrt_binary64_441`
17×	`cancel-sign-sub-inv_binary64_385`
14×	`add-cube-cbrt_binary64_454`
13×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
9×	`add-log-exp_binary64_458` `associate-r_binary64_359` `associate-l_binary64_360`
8×	`times-frac_binary64_425` `pow1_binary64_480`
5×	`flip3--_binary64_423` `flip--_binary64_394`
4×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `distribute-rgt-in_binary64_369` `distribute-lft-out_binary64_370` `associate-r/_binary64_361` `associate-/r/_binary64_365` `distribute-lft-in_binary64_368` `associate-/r_binary64_363`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-out--_binary64_371` `diff-log_binary64_511`
2×	`flip3-+_binary64_422` `associate-l/_binary64_362` `pow-prod-down_binary64_490` `associate--l+_binary64_356` `div-inv_binary64_416` `unswap-sqr_binary64_387` `-commutative_binary64_350` `flip-+_binary64_393` `div-exp_binary64_470` `frac-sub_binary64_428` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `difference-of-sqr-1_binary64_389` `frac-2neg_binary64_430` `associate--l-_binary64_357` `associate-/l*_binary64_364`

Counts

4 → 110

Calls

4 calls:

12.0ms	(/.f64 (.f64 a (-.f64 (.f64 t t) 1)) (+.f64 t 1))
11.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (/.f64 (.f64 a (-.f64 (*.f64 t t) 1)) (+.f64 t 1)))
9.0ms	(.f64 a (-.f64 (.f64 t t) 1))
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

series324.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (/.f64 (.f64 a (-.f64 (*.f64 t t) 1)) (+.f64 t 1)))
72.0ms	(/.f64 (.f64 a (-.f64 (.f64 t t) 1)) (+.f64 t 1))
43.0ms	(.f64 a (-.f64 (.f64 t t) 1))
25.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4948	1856
1	4948	1856

prune149.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Error

0.0b

Counts

127 → 5

Compiler

Compiled 3751 to 2038 computations (45.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (sqrt.f64 (.f64 (-.f64 t 1) a)) (sqrt.f64 (.f64 (-.f64 t 1) a))))
0.0b	(sqrt.f64 (*.f64 (-.f64 t 1) a))
0.0b	(sqrt.f64 (*.f64 (-.f64 t 1) a))
0.2b	(.f64 (sqrt.f64 (.f64 (-.f64 t 1) a)) (sqrt.f64 (*.f64 (-.f64 t 1) a)))

rewrite56.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`pow1_binary64_480`
46×	`associate-*l/_binary64_362`
40×	`sqrt-div_binary64_436`
32×	`sqrt-pow1_binary64_437`
29×	`flip3--_binary64_423` `flip--_binary64_394`
22×	`pow-prod-down_binary64_490`
16×	`frac-sub_binary64_428`
12×	`pow1/2_binary64_499` `frac-times_binary64_429`
11×	`add-sqr-sqrt_binary64_441`
10×	`pow-prod-up_binary64_489`
9×	`add-log-exp_binary64_458`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
6×	`associate-*r/_binary64_361` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `sqrt-prod_binary64_435` `pow-sqr_binary64_392`
4×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360`
3×	`diff-log_binary64_511`
2×	`associate--l+_binary64_356` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`
1×	`difference-of-squares_binary64_388` `sqrt-unprod_binary64_439` `rem-square-sqrt_binary64_431` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `associate--l-_binary64_357` `pow2_binary64_500`

Counts

4 → 116

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 t 1) a)) (sqrt.f64 (*.f64 (-.f64 t 1) a)))
11.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (sqrt.f64 (.f64 (-.f64 t 1) a)) (sqrt.f64 (.f64 (-.f64 t 1) a))))
5.0ms	(sqrt.f64 (*.f64 (-.f64 t 1) a))
5.0ms	(sqrt.f64 (*.f64 (-.f64 t 1) a))

series187.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (sqrt.f64 (.f64 (-.f64 t 1) a)) (sqrt.f64 (.f64 (-.f64 t 1) a))))
42.0ms	(sqrt.f64 (*.f64 (-.f64 t 1) a))
41.0ms	(sqrt.f64 (*.f64 (-.f64 t 1) a))
20.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 t 1) a)) (sqrt.f64 (*.f64 (-.f64 t 1) a)))

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4995	3074
1	4995	3074

prune196.0ms (3.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	127	6	133

Error

0.0b

Counts

133 → 6

Compiler

Compiled 4494 to 2782 computations (38.1% saved)

regimes250.0ms (4.5%)

Accuracy

Total 0.0b remaining (37.2%)

Threshold costs 0.0b (37.2%)

Compiler

Compiled 3309 to 2826 computations (14.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	146	31
1	146	31

end0.0ms (0%)

sample1.5s (27.1%)

Algorithm

1×

intervals

Results

435.0ms	7996×	body	128	valid
248.0ms	4570×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 508 to 433 computations (14.8% saved)

Details

analyze1.4s (25.2%)

sample42.0ms (0.8%)

simplify198.0ms (3.6%)

prune3.0ms (0.1%)

localize17.0ms (0.3%)

rewrite38.0ms (0.7%)

series149.0ms (2.7%)

simplify60.0ms (1.1%)

prune137.0ms (2.5%)

localize18.0ms (0.3%)

rewrite54.0ms (1%)

series300.0ms (5.4%)

simplify91.0ms (1.6%)

prune163.0ms (2.9%)

localize21.0ms (0.4%)

rewrite50.0ms (0.9%)

series324.0ms (5.8%)

simplify67.0ms (1.2%)

prune149.0ms (2.7%)

localize17.0ms (0.3%)

rewrite56.0ms (1%)

series187.0ms (3.3%)

simplify74.0ms (1.3%)

prune196.0ms (3.5%)

regimes250.0ms (4.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (27.1%)

Profiling