Details

analyze53.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
6.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify215.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_441`
17×	`*-un-lft-identity_binary64_419`
12×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
11×	`add-cube-cbrt_binary64_454`
10×	`associate-l_binary64_360`
9×	`associate-r_binary64_359`
7×	`pow1_binary64_480`
6×	`cancel-sign-sub-inv_binary64_385`
4×	`difference-of-squares_binary64_388` `distribute-rgt-in_binary64_369` `associate-*r/_binary64_361` `distribute-lft-in_binary64_368`
3×	`times-frac_binary64_425` `add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `flip--_binary64_394` `associate-/r*_binary64_363`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `sub-neg_binary64_412` `unswap-sqr_binary64_387` `distribute-lft-out--_binary64_371` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `difference-of-sqr-1_binary64_389` `div-inv_binary64_416` `frac-2neg_binary64_430` `associate-/l*_binary64_364`

Counts

3 → 78

Calls

3 calls:

15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

series88.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

38.0ms	(*.f64 m (-.f64 1 m))
25.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
25.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

simplify144.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5031	1100

prune147.0ms (4.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	77	10	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

Compiler

Compiled 1597 to 1044 computations (34.6% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 v (*.f64 m (-.f64 1 m)))
0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))

rewrite90.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64_441`
48×	`times-frac_binary64_425`
42×	`*-un-lft-identity_binary64_419`
34×	`add-exp-log_binary64_457`
30×	`add-cube-cbrt_binary64_454`
22×	`add-cbrt-cube_binary64_455`
17×	`associate-l_binary64_360`
14×	`div-exp_binary64_470`
12×	`associate-*r/_binary64_361`
11×	`associate-/r/_binary64_365`
10×	`associate-/r*_binary64_363`
9×	`associate-r_binary64_359` `pow1_binary64_480`
8×	`difference-of-squares_binary64_388`
7×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `cbrt-undiv_binary64_453`
6×	`prod-exp_binary64_468` `cancel-sign-sub-inv_binary64_385` `associate-/l*_binary64_364`
4×	`add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `cbrt-unprod_binary64_452` `distribute-lft-in_binary64_368`
3×	`1-exp_binary64_463` `difference-of-sqr-1_binary64_389` `distribute-lft-out--_binary64_371` `rec-exp_binary64_469`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `clear-num_binary64_418` `sub-neg_binary64_412` `unswap-sqr_binary64_387` `-commutative_binary64_350` `frac-2neg_binary64_430`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493`

Counts

4 → 149

Calls

4 calls:

34.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
14.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
12.0ms	(*.f64 m (-.f64 1 m))
11.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))

series196.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
51.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (.f64 m (-.f64 1 m)))) 1) m)
49.0ms	(/.f64 v (*.f64 m (-.f64 1 m)))
40.0ms	(*.f64 m (-.f64 1 m))

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5001	2389

prune158.0ms (4.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	160	11	171

Merged error: 0.0b

Counts

171 → 11

Compiler

Compiled 3143 to 2142 computations (31.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 (pow.f64 m 3) v))
0.1b	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
0.2b	(*.f64 (/.f64 m v) m)
8.5b	(/.f64 (pow.f64 m 3) v)

rewrite56.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`times-frac_binary64_425`
43×	`add-sqr-sqrt_binary64_441`
42×	`*-un-lft-identity_binary64_419`
38×	`add-cube-cbrt_binary64_454`
14×	`add-exp-log_binary64_457`
13×	`associate-l_binary64_360`
12×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447` `associate-/l*_binary64_364`
11×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
6×	`pow1_binary64_480`
4×	`unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `cancel-sign-sub-inv_binary64_385` `div-exp_binary64_470`
3×	`associate-l/_binary64_362` `associate-r_binary64_359` `associate-/r_binary64_363`
2×	`flip3-+_binary64_422` `div-inv_binary64_416` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `flip-+_binary64_393` `diff-log_binary64_511` `frac-sub_binary64_428` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `sub-neg_binary64_412` `pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `frac-2neg_binary64_430` `associate--r+_binary64_355` `flip--_binary64_394` `+-commutative_binary64_349`

Counts

4 → 128

Calls

4 calls:

21.0ms	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
12.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(/.f64 (pow.f64 m 3) v)

series68.0ms (2%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
17.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))
15.0ms	(*.f64 (/.f64 m v) m)
15.0ms	(/.f64 (pow.f64 m 3) v)

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5171	1923

prune126.0ms (3.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	4	5	9
Picked	1	0	1
Done	0	1	1
Total	142	9	151

Merged error: 0b

Counts

151 → 9

Compiler

Compiled 2748 to 1048 computations (61.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 m (sqrt.f64 m))
0.2b	(.f64 (.f64 m (sqrt.f64 m)) (*.f64 (/.f64 m v) (sqrt.f64 m)))
0.2b	(*.f64 (/.f64 m v) m)
0.3b	(*.f64 (/.f64 m v) (sqrt.f64 m))

rewrite46.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_441`
37×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
30×	`associate-l_binary64_360`
25×	`pow1_binary64_480`
24×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
21×	`times-frac_binary64_425`
18×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
16×	`associate-r_binary64_359`
11×	`pow-prod-down_binary64_490`
9×	`sqrt-prod_binary64_435`
8×	`unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `*-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`associate-*l/_binary64_362`
2×	`div-inv_binary64_416` `pow-prod-up_binary64_489`
1×	`pow1/2_binary64_499` `associate-*r/_binary64_361` `sqrt-pow1_binary64_437` `pow3_binary64_502`

Counts

4 → 121

Calls

4 calls:

11.0ms	(.f64 (.f64 m (sqrt.f64 m)) (*.f64 (/.f64 m v) (sqrt.f64 m)))
8.0ms	(*.f64 (/.f64 m v) (sqrt.f64 m))
6.0ms	(*.f64 (/.f64 m v) m)
5.0ms	(*.f64 m (sqrt.f64 m))

series103.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 (/.f64 m v) (sqrt.f64 m))
36.0ms	(.f64 (.f64 m (sqrt.f64 m)) (*.f64 (/.f64 m v) (sqrt.f64 m)))
15.0ms	(*.f64 (/.f64 m v) m)
15.0ms	(*.f64 m (sqrt.f64 m))

simplify76.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5043	1340

prune102.0ms (3.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	133	9	142

Merged error: 0b

Counts

142 → 9

Compiler

Compiled 2959 to 774 computations (73.8% saved)

regimes197.0ms (5.9%)

Compiler: Compiled 2285 to 1670 computations (26.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	16
1	33	16

end0.0ms (0%)

sample1.2s (37.1%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
168.0ms	8058×	pre	128	true
2.0ms	58×	body	128	invalid

Compiler

Compiled 785 to 575 computations (26.8% saved)

Details

analyze53.0ms (1.6%)

sample21.0ms (0.6%)

simplify215.0ms (6.5%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite36.0ms (1.1%)

series88.0ms (2.6%)

simplify144.0ms (4.3%)

prune147.0ms (4.4%)

localize18.0ms (0.5%)

rewrite90.0ms (2.7%)

series196.0ms (5.9%)

simplify70.0ms (2.1%)

prune158.0ms (4.7%)

localize8.0ms (0.2%)

rewrite56.0ms (1.7%)

series68.0ms (2%)

simplify55.0ms (1.7%)

prune126.0ms (3.8%)

localize10.0ms (0.3%)

rewrite46.0ms (1.4%)

series103.0ms (3.1%)

simplify76.0ms (2.3%)

prune102.0ms (3.1%)

regimes197.0ms (5.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (37.1%)

Profiling