Details

analyze822.0ms (12.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune5.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_16753` `add-sqr-sqrt_binary64_16809`
10×	`*-un-lft-identity_binary64_16787`
8×	`add-cube-cbrt_binary64_16822` `associate-+r+_binary64_16719` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
5×	`associate-r_binary64_16727`
4×	`add-log-exp_binary64_16826` `sub-neg_binary64_16780` `pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
3×	`associate-l_binary64_16728`
2×	`associate-*r/_binary64_16729`
1×	`cbrt-unprod_binary64_16820` `sum-log_binary64_16878` `difference-of-squares_binary64_16756` `prod-exp_binary64_16836` `*-commutative_binary64_16718` `flip3--_binary64_16791` `distribute-lft-out--_binary64_16739` `flip-+_binary64_16761` `unswap-sqr_binary64_16755` `+-commutative_binary64_16717` `flip--_binary64_16762` `pow-prod-down_binary64_16858` `flip3-+_binary64_16790`

Counts

2 → 49

Calls

2 calls:

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

series394.0ms (6.1%)

Counts

2 → 33

Calls

2 calls:

221.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
173.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 387 to 328 computations (15.2% saved)

simplify140.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4909	764
1	4909	764

prune89.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Error

0.0b

Counts

83 → 3

Compiler

Compiled 832 to 170 computations (79.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))
0.2b	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
3.5b	(sqrt.f64 (*.f64 y (-.f64 x z)))
3.5b	(sqrt.f64 (*.f64 y (-.f64 x z)))

rewrite77.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_16848`
32×	`sqrt-pow1_binary64_16805`
23×	`pow-prod-down_binary64_16858`
20×	`associate-*r/_binary64_16729`
18×	`add-sqr-sqrt_binary64_16809`
16×	`sqrt-div_binary64_16804`
14×	`*-un-lft-identity_binary64_16787`
12×	`pow1/2_binary64_16867` `add-cube-cbrt_binary64_16822`
10×	`pow-prod-up_binary64_16857`
9×	`associate-r_binary64_16727` `flip3--_binary64_16791` `flip--_binary64_16762`
8×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
7×	`associate-l_binary64_16728`
6×	`cancel-sign-sub-inv_binary64_16753` `sqrt-prod_binary64_16803` `pow-sqr_binary64_16760`
4×	`add-log-exp_binary64_16826` `swap-sqr_binary64_16754` `frac-times_binary64_16797` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
2×	`cbrt-unprod_binary64_16820` `sub-neg_binary64_16780` `prod-exp_binary64_16836` `-commutative_binary64_16718` `unswap-sqr_binary64_16755` `associate-l/_binary64_16730`
1×	`pow2_binary64_16868` `sqrt-unprod_binary64_16807` `rem-square-sqrt_binary64_16799` `pow-plus_binary64_16850` `difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`

Counts

4 → 113

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
13.0ms	(*.f64 y (-.f64 x z))
10.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
9.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

series694.0ms (10.7%)

Counts

4 → 51

Calls

4 calls:

204.0ms	(*.f64 y (-.f64 x z))
193.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
152.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
145.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

Compiler

Compiled 1713 to 1268 computations (26% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5237	1645

prune179.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	164	3	167

Error

0.0b

Counts

167 → 3

Compiler

Compiled 2600 to 510 computations (80.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x z))
0.0b	(sqrt.f64 (-.f64 x z))
0.1b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
0.1b	(*.f64 y (sqrt.f64 (-.f64 x z)))

rewrite63.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_16809`
21×	`sqrt-prod_binary64_16803`
19×	`*-un-lft-identity_binary64_16787`
18×	`sqrt-div_binary64_16804`
16×	`associate-r_binary64_16727`
13×	`pow1_binary64_16848`
11×	`add-cube-cbrt_binary64_16822` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
10×	`associate-*r/_binary64_16729`
9×	`flip3--_binary64_16791` `flip--_binary64_16762`
4×	`add-log-exp_binary64_16826` `cbrt-unprod_binary64_16820` `difference-of-squares_binary64_16756` `prod-exp_binary64_16836` `distribute-lft-out--_binary64_16739` `associate-l_binary64_16728` `frac-times_binary64_16797` `pow-prod-down_binary64_16858`
2×	`rem-sqrt-square_binary64_16800` `pow1/2_binary64_16867` `sqrt-pow1_binary64_16805` `-commutative_binary64_16718` `unswap-sqr_binary64_16755` `associate-l/_binary64_16730`

Counts

4 → 91

Calls

4 calls:

23.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
15.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
6.0ms	(sqrt.f64 (-.f64 x z))
6.0ms	(sqrt.f64 (-.f64 x z))

series440.0ms (6.8%)

Counts

4 → 41

Calls

4 calls:

161.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
141.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
72.0ms	(sqrt.f64 (-.f64 x z))
66.0ms	(sqrt.f64 (-.f64 x z))

Compiler

Compiled 1073 to 822 computations (23.4% saved)

simplify137.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5056	1462

prune147.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	132	3	135

Error

Counts

135 → 3

Compiler

Compiled 2099 to 458 computations (78.2% saved)

localize38.0ms (0.6%)

Local error

Found 4 expressions with local error:

5.0b	(/.f64 (.f64 y (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 z z) (.f64 x z)))))
5.3b	(*.f64 y (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
15.4b	(sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
23.2b	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 z z) (*.f64 x z))))

rewrite157.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-sqr-sqrt_binary64_16809`
60×	`sqrt-prod_binary64_16803`
33×	`*-un-lft-identity_binary64_16787`
32×	`difference-of-squares_binary64_16756`
28×	`associate-r_binary64_16727`
24×	`cube-prod_binary64_16815` `unpow-prod-down_binary64_16866`
16×	`sqr-pow_binary64_16759`
13×	`add-cube-cbrt_binary64_16822`
11×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
10×	`sqrt-div_binary64_16804` `distribute-lft-out--_binary64_16739`
8×	`pow1_binary64_16848`
6×	`times-frac_binary64_16793` `associate-/r*_binary64_16731`
4×	`add-log-exp_binary64_16826` `associate-*r/_binary64_16729`
3×	`flip3--_binary64_16791` `associate-l_binary64_16728` `flip--_binary64_16762`
2×	`cbrt-undiv_binary64_16821` `rem-sqrt-square_binary64_16800` `cbrt-unprod_binary64_16820` `pow1/2_binary64_16867` `sqrt-pow1_binary64_16805` `prod-exp_binary64_16836` `div-exp_binary64_16838` `difference-cubes_binary64_16789` `associate-/l/_binary64_16734` `flip-+_binary64_16761` `unswap-sqr_binary64_16755` `associate-/r/_binary64_16733` `flip3-+_binary64_16790`
1×	`associate-/l_binary64_16732` `clear-num_binary64_16786` `-commutative_binary64_16718` `frac-2neg_binary64_16798` `div-inv_binary64_16784` `pow-prod-down_binary64_16858`

Counts

4 → 129

Calls

4 calls:

45.0ms	(*.f64 y (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
43.0ms	(/.f64 (.f64 y (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 z z) (.f64 x z)))))
25.0ms	(sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
12.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 z z) (*.f64 x z))))

series959.0ms (14.8%)

Counts

4 → 44

Calls

4 calls:

479.0ms	(/.f64 (.f64 y (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 z z) (.f64 x z)))))
247.0ms	(*.f64 y (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
141.0ms	(sqrt.f64 (+.f64 (.f64 x x) (+.f64 (.f64 z z) (*.f64 x z))))
91.0ms	(sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))

Compiler

Compiled 1929 to 1428 computations (26% saved)

simplify116.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5004	3533

prune384.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	173	3	176

Error

Counts

176 → 3

Compiler

Compiled 6017 to 2247 computations (62.7% saved)

regimes185.0ms (2.9%)

Accuracy

Total 0.0b remaining (76.4%)

Threshold costs 0.0b (76.4%)

Compiler

Compiled 676 to 538 computations (20.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample1.2s (19%)

Algorithm

1×

intervals

Results

427.0ms	8000×	body	128	valid
33.0ms	648×	body	128	invalid

Compiler

Compiled 187 to 150 computations (19.8% saved)

Details

analyze822.0ms (12.7%)

sample28.0ms (0.4%)

simplify37.0ms (0.6%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite27.0ms (0.4%)

series394.0ms (6.1%)

simplify140.0ms (2.2%)

prune89.0ms (1.4%)

localize15.0ms (0.2%)

rewrite77.0ms (1.2%)

series694.0ms (10.7%)

simplify92.0ms (1.4%)

prune179.0ms (2.8%)

localize16.0ms (0.3%)

rewrite63.0ms (1%)

series440.0ms (6.8%)

simplify137.0ms (2.1%)

prune147.0ms (2.3%)

localize38.0ms (0.6%)

rewrite157.0ms (2.4%)

series959.0ms (14.8%)

simplify116.0ms (1.8%)

prune384.0ms (5.9%)

regimes185.0ms (2.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (19%)

Profiling