Details

analyze345.0ms (6.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	30×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify142.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune4.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
2.9b	(*.f64 (/.f64 x y) z)

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-l_binary64_19`
10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
5×	`add-log-exp_binary64_117` `pow1_binary64_139`
4×	`associate-/l*_binary64_23` `distribute-lft-out_binary64_29`
3×	`associate-r_binary64_18` `associate-l/_binary64_21` `associate-/r_binary64_22`
2×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `div-inv_binary64_75` `unswap-sqr_binary64_46` `associate-/l/_binary64_25`
1×	`*-commutative_binary64_9` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `pow-prod-down_binary64_149` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `sub-div_binary64_85` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

3 → 79

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
8.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

series387.0ms (7%)

Counts

3 → 33

Calls

3 calls:

220.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
101.0ms	(*.f64 (/.f64 x y) z)
67.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 722 to 601 computations (16.8% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5171	1334

prune133.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	107	7	114

Error

0.0b

Counts

114 → 7

Compiler

Compiled 1889 to 920 computations (51.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 x 4))
0.0b	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
0.1b	(/.f64 1 (/.f64 y (+.f64 x 4)))
2.9b	(*.f64 (/.f64 x y) z)

rewrite63.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

124×	`times-frac_binary64_84`
104×	`*-un-lft-identity_binary64_78`
77×	`add-sqr-sqrt_binary64_100`
72×	`add-cube-cbrt_binary64_113`
22×	`associate-/r*_binary64_22` `add-exp-log_binary64_116`
16×	`add-cbrt-cube_binary64_114` `distribute-lft-out_binary64_29`
13×	`associate-l_binary64_19`
11×	`associate-/r/_binary64_24`
9×	`div-exp_binary64_129`
7×	`div-inv_binary64_75` `pow1_binary64_139`
6×	`add-log-exp_binary64_117` `associate-/l*_binary64_23`
5×	`cbrt-undiv_binary64_112` `flip-+_binary64_52` `flip3-+_binary64_81`
3×	`associate-r_binary64_18`
2×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `associate-*l/_binary64_21` `unswap-sqr_binary64_46` `clear-num_binary64_77`
1×	`*-commutative_binary64_9` `inv-pow_binary64_163` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `pow-flip_binary64_152` `flip--_binary64_53` `pow-prod-down_binary64_149` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

4 → 174

Calls

4 calls:

22.0ms	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
9.0ms	(/.f64 1 (/.f64 y (+.f64 x 4)))
7.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(/.f64 y (+.f64 x 4))

series451.0ms (8.1%)

Counts

4 → 44

Calls

4 calls:

220.0ms	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
101.0ms	(*.f64 (/.f64 x y) z)
65.0ms	(/.f64 y (+.f64 x 4))
64.0ms	(/.f64 1 (/.f64 y (+.f64 x 4)))

Compiler

Compiled 1052 to 879 computations (16.4% saved)

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4924	3111
1	4924	3111

prune208.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	218	7	225

Error

0.0b

Counts

225 → 7

Compiler

Compiled 4210 to 2254 computations (46.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 x 4))) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 1 (+.f64 x 4))
0.1b	(/.f64 (/.f64 1 y) (/.f64 1 (+.f64 x 4)))
2.9b	(*.f64 (/.f64 x y) z)

rewrite155.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

595×	`times-frac_binary64_84`
358×	`*-un-lft-identity_binary64_78`
271×	`add-sqr-sqrt_binary64_100`
266×	`add-cube-cbrt_binary64_113`
53×	`add-exp-log_binary64_116`
46×	`distribute-lft-out_binary64_29`
36×	`div-inv_binary64_75`
35×	`div-exp_binary64_129`
31×	`associate-/r/_binary64_24`
23×	`add-cbrt-cube_binary64_114`
22×	`associate-/r*_binary64_22`
16×	`associate-/l*_binary64_23`
15×	`flip-+_binary64_52` `flip3-+_binary64_81`
13×	`associate-l_binary64_19`
10×	`cbrt-undiv_binary64_112`
9×	`1-exp_binary64_122` `rec-exp_binary64_128`
7×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117`
3×	`associate-r_binary64_18`
2×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `frac-2neg_binary64_89` `associate-*l/_binary64_21` `unswap-sqr_binary64_46` `clear-num_binary64_77`
1×	`*-commutative_binary64_9` `inv-pow_binary64_163` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `pow-flip_binary64_152` `flip--_binary64_53` `pow-prod-down_binary64_149` `cancel-sign-sub-inv_binary64_44` `associate-/l/_binary64_25` `sub-neg_binary64_71`

Counts

4 → 379

Calls

4 calls:

71.0ms	(-.f64 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 x 4))) (*.f64 (/.f64 x y) z))
16.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (+.f64 x 4)))
7.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(/.f64 1 (+.f64 x 4))

series410.0ms (7.4%)

Counts

4 → 41

Calls

4 calls:

223.0ms	(-.f64 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 x 4))) (*.f64 (/.f64 x y) z))
99.0ms	(*.f64 (/.f64 x y) z)
66.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (+.f64 x 4)))
21.0ms	(/.f64 1 (+.f64 x 4))

Compiler

Compiled 1004 to 855 computations (14.8% saved)

simplify143.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

420 → 420

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4939	8521
1	4939	8521

prune552.0ms (9.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	420	0	420
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	420	7	427

Error

0.0b

Counts

427 → 7

Compiler

Compiled 9553 to 5652 computations (40.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
10.7b	(cbrt.f64 (/.f64 x y))
10.7b	(cbrt.f64 (/.f64 x y))
10.7b	(cbrt.f64 (/.f64 x y))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_109`
27×	`times-frac_binary64_84`
25×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
16×	`add-exp-log_binary64_116` `pow1_binary64_139`
15×	`cbrt-div_binary64_110`
10×	`add-cbrt-cube_binary64_114`
8×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
7×	`associate-*r/_binary64_20`
5×	`frac-times_binary64_88` `associate-*l/_binary64_21`
4×	`add-log-exp_binary64_117`
3×	`pow1/3_binary64_160` `div-inv_binary64_75`
1×	`-commutative_binary64_9` `associate-l_binary64_19` `associate-r*_binary64_18`

Counts

4 → 95

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
3.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

series775.0ms (13.9%)

Counts

4 → 27

Calls

4 calls:

233.0ms	(cbrt.f64 (/.f64 x y))
200.0ms	(cbrt.f64 (/.f64 x y))
198.0ms	(cbrt.f64 (/.f64 x y))
143.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))

Compiler

Compiled 1336 to 1012 computations (24.3% saved)

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5044	1461

prune111.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	121	8	129

Error

Counts

129 → 8

Compiler

Compiled 3006 to 955 computations (68.2% saved)

regimes250.0ms (4.5%)

Accuracy

Total 0.7b remaining (99.4%)

Threshold costs 0.7b (99.4%)

Compiler

Compiled 2607 to 1896 computations (27.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	42
1	78	42

end0.0ms (0%)

sample1.0s (18.5%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
48.0ms	1223×	body	128	invalid

Compiler

Compiled 550 to 398 computations (27.6% saved)

Details

analyze345.0ms (6.2%)

sample19.0ms (0.3%)

simplify142.0ms (2.5%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite33.0ms (0.6%)

series387.0ms (7%)

simplify77.0ms (1.4%)

prune133.0ms (2.4%)

localize10.0ms (0.2%)

rewrite63.0ms (1.1%)

series451.0ms (8.1%)

simplify115.0ms (2.1%)

prune208.0ms (3.7%)

localize11.0ms (0.2%)

rewrite155.0ms (2.8%)

series410.0ms (7.4%)

simplify143.0ms (2.6%)

prune552.0ms (9.9%)

localize13.0ms (0.2%)

rewrite37.0ms (0.7%)

series775.0ms (13.9%)

simplify88.0ms (1.6%)

prune111.0ms (2%)

regimes250.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (18.5%)

Profiling