Details

analyze755.0ms (12.9%)

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
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample41.0ms (0.7%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
3.0ms	35×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify140.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	417	16
1	417	16

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
0.2b	(/.f64 (*.f64 y z) 2)

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cancel-sign-sub-inv_binary64_11638`
11×	`*-un-lft-identity_binary64_11672`
10×	`add-log-exp_binary64_11711`
9×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `times-frac_binary64_11678`
8×	`associate-+l+_binary64_11605` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
3×	`pow1_binary64_11733` `associate-/r*_binary64_11616` `div-inv_binary64_11669`
2×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `sum-log_binary64_11763` `sub-neg_binary64_11665` `diff-log_binary64_11764`
1×	`cbrt-unprod_binary64_11705` `clear-num_binary64_11671` `flip-+_binary64_11646` `flip3-+_binary64_11675` `+-commutative_binary64_11602` `flip3--_binary64_11676` `associate-+l-_binary64_11607` `prod-exp_binary64_11721` `frac-2neg_binary64_11683` `distribute-lft-out_binary64_11623` `flip--_binary64_11647` `associate-/l*_binary64_11617`

Counts

3 → 61

Calls

3 calls:

17.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
9.0ms	(/.f64 (*.f64 y z) 2)
9.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)

series125.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

59.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
50.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
16.0ms	(/.f64 (*.f64 y z) 2)

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4919	967
1	4919	967

prune70.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	2	71

Error

0.0b

Counts

71 → 2

Compiler

Compiled 1059 to 653 computations (38.3% saved)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2)))
0.0b	(+.f64 (-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2))) t)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_11711`
4×	`*-un-lft-identity_binary64_11672`
2×	`pow1_binary64_11733` `cancel-sign-sub-inv_binary64_11638` `sum-log_binary64_11763` `add-cube-cbrt_binary64_11707` `associate-+l+_binary64_11605` `add-sqr-sqrt_binary64_11694` `add-exp-log_binary64_11710` `sub-neg_binary64_11665` `add-cbrt-cube_binary64_11708` `diff-log_binary64_11764`
1×	`flip-+_binary64_11646` `flip3-+_binary64_11675` `+-commutative_binary64_11602` `flip3--_binary64_11676` `associate-+l-_binary64_11607` `distribute-lft-out_binary64_11623` `flip--_binary64_11647`

Counts

2 → 28

Calls

2 calls:

12.0ms	(+.f64 (-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2))) t)
7.0ms	(-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2)))

series92.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2)))
45.0ms	(+.f64 (-.f64 (.f64 1/8 x) (.f64 y (/.f64 z 2))) t)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5764	653

prune40.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 585 to 402 computations (31.3% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2))))
0.3b	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
0.4b	(/.f64 z (sqrt.f64 2))
0.5b	(/.f64 y (sqrt.f64 2))

rewrite74.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64_11694`
84×	`times-frac_binary64_11678`
60×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
48×	`sqrt-prod_binary64_11688`
22×	`associate-r_binary64_11612` `associate-l_binary64_11613`
20×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
12×	`associate-/r*_binary64_11616`
9×	`unswap-sqr_binary64_11640`
6×	`cbrt-undiv_binary64_11706` `pow1_binary64_11733` `div-exp_binary64_11723` `add-log-exp_binary64_11711` `associate-/l*_binary64_11617`
4×	`cbrt-unprod_binary64_11705` `prod-exp_binary64_11721` `div-inv_binary64_11669`
2×	`clear-num_binary64_11671` `frac-2neg_binary64_11683`
1×	`cancel-sign-sub-inv_binary64_11638` `frac-times_binary64_11682` `associate-l/_binary64_11615` `flip3--_binary64_11676` `associate-r/_binary64_11614` `flip--_binary64_11647` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743` `sub-neg_binary64_11665` `diff-log_binary64_11764`

Counts

4 → 163

Calls

4 calls:

35.0ms	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
8.0ms	(/.f64 y (sqrt.f64 2))
8.0ms	(/.f64 z (sqrt.f64 2))
4.0ms	(-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2))))

series358.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

145.0ms	(-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2))))
101.0ms	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
59.0ms	(/.f64 z (sqrt.f64 2))
52.0ms	(/.f64 y (sqrt.f64 2))

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5007	2433

prune296.0ms (5.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	174	3	177

Error

Counts

177 → 3

Compiler

Compiled 3546 to 2528 computations (28.7% saved)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 2))) (cbrt.f64 (/.f64 z (sqrt.f64 2))))
0.6b	(cbrt.f64 (/.f64 z (sqrt.f64 2)))
0.6b	(cbrt.f64 (/.f64 z (sqrt.f64 2)))
0.6b	(cbrt.f64 (/.f64 z (sqrt.f64 2)))

rewrite88.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

190×	`cbrt-prod_binary64_11703`
163×	`add-sqr-sqrt_binary64_11694`
154×	`times-frac_binary64_11678`
103×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
77×	`sqrt-prod_binary64_11688`
31×	`swap-sqr_binary64_11639`
25×	`associate-r_binary64_11612` `associate-l_binary64_11613`
16×	`unswap-sqr_binary64_11640`
11×	`pow1_binary64_11733`
9×	`pow1/3_binary64_11754`
7×	`cbrt-div_binary64_11704` `div-inv_binary64_11669`
6×	`add-exp-log_binary64_11710`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708`
2×	`pow-sqr_binary64_11645` `pow-prod-up_binary64_11742` `pow-prod-down_binary64_11743`
1×	`cbrt-unprod_binary64_11705` `frac-times_binary64_11682` `associate-l/_binary64_11615` `associate-r/_binary64_11614` `pow2_binary64_11753` `prod-exp_binary64_11721` `*-commutative_binary64_11603` `pow-plus_binary64_11735`

Counts

4 → 211

Calls

4 calls:

32.0ms	(*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 2))) (cbrt.f64 (/.f64 z (sqrt.f64 2))))
5.0ms	(cbrt.f64 (/.f64 z (sqrt.f64 2)))
4.0ms	(cbrt.f64 (/.f64 z (sqrt.f64 2)))
4.0ms	(cbrt.f64 (/.f64 z (sqrt.f64 2)))

series900.0ms (15.4%)

Counts

4 → 12

Calls

4 calls:

289.0ms	(*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 2))) (cbrt.f64 (/.f64 z (sqrt.f64 2))))
224.0ms	(cbrt.f64 (/.f64 z (sqrt.f64 2)))
209.0ms	(cbrt.f64 (/.f64 z (sqrt.f64 2)))
178.0ms	(cbrt.f64 (/.f64 z (sqrt.f64 2)))

simplify190.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4939	4552
1	4939	4552

prune733.0ms (12.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	223	3	226

Error

Counts

226 → 3

Compiler

Compiled 7822 to 6166 computations (21.2% saved)

regimes305.0ms (5.2%)

Accuracy

Total 0.0b remaining (35.9%)

Threshold costs 0.0b (35.9%)

Compiler

Compiled 1488 to 1513 computations (-1.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	48	16

end0.0ms (0%)

sample1.2s (20.8%)

Algorithm

1×

intervals

Results

460.0ms	7999×	body	128	valid
65.0ms	1181×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 184 to 185 computations (-0.5% saved)

Details

analyze755.0ms (12.9%)

sample41.0ms (0.7%)

simplify140.0ms (2.4%)

prune7.0ms (0.1%)

localize17.0ms (0.3%)

rewrite40.0ms (0.7%)

series125.0ms (2.1%)

simplify85.0ms (1.5%)

prune70.0ms (1.2%)

localize19.0ms (0.3%)

rewrite22.0ms (0.4%)

series92.0ms (1.6%)

simplify85.0ms (1.4%)

prune40.0ms (0.7%)

localize21.0ms (0.4%)

rewrite74.0ms (1.3%)

series358.0ms (6.1%)

simplify87.0ms (1.5%)

prune296.0ms (5.1%)

localize33.0ms (0.6%)

rewrite88.0ms (1.5%)

series900.0ms (15.4%)

simplify190.0ms (3.2%)

prune733.0ms (12.5%)

regimes305.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (20.8%)

Profiling