Details

analyze521.0ms (9.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify307.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5598	13

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: 2.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
2.0b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_11797`
70×	`*-un-lft-identity_binary64_11775`
51×	`times-frac_binary64_11781`
31×	`associate-l_binary64_11716`
26×	`add-cube-cbrt_binary64_11810`
22×	`distribute-lft-out--_binary64_11727` `difference-of-squares_binary64_11744`
9×	`add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813`
5×	`associate-/r_binary64_11719` `associate-/l_binary64_11720`
4×	`associate-/r/_binary64_11721` `pow1_binary64_11836`
3×	`flip3--_binary64_11779` `flip--_binary64_11750` `associate-r_binary64_11715`
2×	`associate-/l/_binary64_11722` `prod-exp_binary64_11824` `div-inv_binary64_11772` `cbrt-unprod_binary64_11808` `div-exp_binary64_11826` `add-log-exp_binary64_11814` `cbrt-undiv_binary64_11809` `unswap-sqr_binary64_11743`
1×	`associate-l/_binary64_11718` `pow-prod-down_binary64_11846` `-commutative_binary64_11706` `clear-num_binary64_11774` `div-sub_binary64_11780` `frac-2neg_binary64_11786`

Counts

2 → 102

Calls

2 calls:

16.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
10.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

series358.0ms (6.4%)

Counts

2 → 6

Calls

2 calls:

261.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
96.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4999	1792
1	4999	1792

prune309.0ms (5.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Merged error: 0b

Counts

109 → 9

Compiler

Compiled 6152 to 2905 computations (52.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cbrt-prod_binary64_11806`
16×	`*-un-lft-identity_binary64_11775` `add-sqr-sqrt_binary64_11797`
8×	`add-cube-cbrt_binary64_11810` `cbrt-div_binary64_11807`
4×	`flip3--_binary64_11779` `flip--_binary64_11750` `pow1_binary64_11836` `pow1/3_binary64_11857` `add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813` `add-log-exp_binary64_11814` `distribute-lft-out--_binary64_11727` `difference-of-squares_binary64_11744`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 z y))
4.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

series874.0ms (15.6%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt.f64 (-.f64 x y))
222.0ms	(cbrt.f64 (-.f64 x y))
218.0ms	(cbrt.f64 (-.f64 z y))
209.0ms	(cbrt.f64 (-.f64 x y))

simplify139.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4840	928
1	4840	928

prune85.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Merged error: 0b

Counts

81 → 9

Compiler

Compiled 2765 to 523 computations (81.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
0.0b	(/.f64 x (-.f64 z y))
0.0b	(/.f64 y (-.f64 z y))
2.0b	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)

rewrite108.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

113×	`*-un-lft-identity_binary64_11775`
95×	`add-sqr-sqrt_binary64_11797`
81×	`times-frac_binary64_11781`
39×	`add-cube-cbrt_binary64_11810`
35×	`distribute-lft-out--_binary64_11727`
23×	`difference-of-squares_binary64_11744`
21×	`cancel-sign-sub-inv_binary64_11741`
18×	`associate-l_binary64_11716`
14×	`associate-/r/_binary64_11721`
10×	`add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813` `associate-/r*_binary64_11719`
9×	`flip3--_binary64_11779` `flip--_binary64_11750`
7×	`div-inv_binary64_11772`
6×	`pow1_binary64_11836` `distribute-rgt-out--_binary64_11729` `add-log-exp_binary64_11814` `associate-/l*_binary64_11720`
4×	`associate-*l/_binary64_11718`
3×	`associate-r_binary64_11715`
2×	`clear-num_binary64_11774` `frac-sub_binary64_11784` `div-exp_binary64_11826` `cbrt-undiv_binary64_11809` `frac-2neg_binary64_11786` `sub-div_binary64_11782`
1×	`pow-prod-down_binary64_11846` `*-commutative_binary64_11706` `prod-exp_binary64_11824` `diff-log_binary64_11867` `cbrt-unprod_binary64_11808` `unswap-sqr_binary64_11743` `sub-neg_binary64_11768`

Counts

4 → 160

Calls

4 calls:

39.0ms	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)
33.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms	(/.f64 x (-.f64 z y))
6.0ms	(/.f64 y (-.f64 z y))

series626.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

356.0ms	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)
149.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
67.0ms	(/.f64 x (-.f64 z y))
54.0ms	(/.f64 y (-.f64 z y))

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5341	2845

prune161.0ms (2.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	172	9	181

Merged error: 0b

Counts

181 → 9

Compiler

Compiled 3886 to 995 computations (74.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
0.2b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
2.0b	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

rewrite108.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_11781`
335×	`add-sqr-sqrt_binary64_11797`
323×	`*-un-lft-identity_binary64_11775`
157×	`add-cube-cbrt_binary64_11810`
98×	`associate-l_binary64_11716`
82×	`distribute-lft-out--_binary64_11727` `difference-of-squares_binary64_11744`
36×	`associate-/r*_binary64_11719`
35×	`add-exp-log_binary64_11813`
19×	`add-cbrt-cube_binary64_11811`
18×	`associate-/r/_binary64_11721`
15×	`div-exp_binary64_11826`
10×	`div-inv_binary64_11772`
9×	`flip3--_binary64_11779` `flip--_binary64_11750`
8×	`associate-/l*_binary64_11720`
7×	`prod-exp_binary64_11824` `cbrt-undiv_binary64_11809`
6×	`pow1_binary64_11836`
5×	`unswap-sqr_binary64_11743`
4×	`1-exp_binary64_11819` `rec-exp_binary64_11825`
3×	`cbrt-unprod_binary64_11808` `associate-r_binary64_11715` `add-log-exp_binary64_11814`
2×	`associate-/l/_binary64_11722` `clear-num_binary64_11774` `frac-2neg_binary64_11786`
1×	`pow-flip_binary64_11849` `associate-l/_binary64_11718` `pow-prod-down_binary64_11846` `-commutative_binary64_11706` `div-sub_binary64_11780` `inv-pow_binary64_11860`

Counts

3 → 326

Calls

3 calls:

32.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)
19.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
10.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

series637.0ms (11.3%)

Counts

3 → 9

Calls

3 calls:

342.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)
199.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
95.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

simplify122.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4967	6673
1	4967	6673

prune271.0ms (4.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	337	7	344

Merged error: 0b

Counts

344 → 7

Compiler

Compiled 6997 to 1917 computations (72.6% saved)

regimes81.0ms (1.4%)

Compiler: Compiled 587 to 416 computations (29.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end0.0ms (0%)

sample643.0ms (11.5%)

Algorithm

1×

intervals

Results

253.0ms	8000×	body	128	valid
19.0ms	629×	body	128	invalid

Compiler

Compiled 163 to 109 computations (33.1% saved)

Details

analyze521.0ms (9.3%)

sample16.0ms (0.3%)

simplify307.0ms (5.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite36.0ms (0.6%)

series358.0ms (6.4%)

simplify69.0ms (1.2%)

prune309.0ms (5.5%)

localize15.0ms (0.3%)

rewrite22.0ms (0.4%)

series874.0ms (15.6%)

simplify139.0ms (2.5%)

prune85.0ms (1.5%)

localize8.0ms (0.1%)

rewrite108.0ms (1.9%)

series626.0ms (11.2%)

simplify79.0ms (1.4%)

prune161.0ms (2.9%)

localize8.0ms (0.1%)

rewrite108.0ms (1.9%)

series637.0ms (11.3%)

simplify122.0ms (2.2%)

prune271.0ms (4.8%)

regimes81.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample643.0ms (11.5%)

Profiling