Details

analyze431.0ms (5.6%)

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
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune6.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_19213`
1×	`sum-log_binary64_19265` `pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `flip3-+_binary64_19177` `*-un-lft-identity_binary64_19174` `flip-+_binary64_19148` `+-commutative_binary64_19104`

Counts

1 → 11

Calls

1 calls:

7.0ms

(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))

Compiler

Compiled 220 to 118 computations (46.4% saved)

series120.0ms (1.5%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

111.0ms

(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))

Compiler

Compiled 321 to 194 computations (39.6% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5254	331

prune20.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Error

0.0b

Counts

30 → 3

Compiler

Compiled 328 to 78 computations (76.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
0.5b	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
0.5b	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
0.5b	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

rewrite112.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_19205`
23×	`add-sqr-sqrt_binary64_19196`
18×	`cbrt-div_binary64_19206`
15×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
11×	`pow1_binary64_19235`
9×	`pow1/3_binary64_19256` `flip3-+_binary64_19177` `flip-+_binary64_19148`
6×	`add-exp-log_binary64_19212` `swap-sqr_binary64_19141` `associate-l_binary64_19115` `associate-r_binary64_19114`
4×	`add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210` `frac-times_binary64_19184` `unswap-sqr_binary64_19142`
2×	`pow-prod-down_binary64_19245` `pow-prod-up_binary64_19244` `pow-sqr_binary64_19147` `associate-l/_binary64_19117` `associate-r/_binary64_19116`
1×	`pow2_binary64_19255` `pow-plus_binary64_19237` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `*-commutative_binary64_19105`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
3.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

Compiler

Compiled 3392 to 340 computations (90% saved)

series1.9s (23.9%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

615.0ms	(.f64 (cbrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
378.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
361.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
360.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

Compiler

Compiled 11874 to 7562 computations (36.3% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5089	5561

prune187.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	165	3	168

Error

0.0b

Counts

168 → 3

Compiler

Compiled 6380 to 1622 computations (74.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (*.f64 x z) 3)
2.0b	(+.f64 (pow.f64 (-.f64 y (.f64 y x)) 3) (pow.f64 (.f64 x z) 3))
2.2b	(+.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (-.f64 y (.f64 y x)) (-.f64 y (.f64 x (+.f64 y z)))))
36.2b	(/.f64 (+.f64 (pow.f64 (-.f64 y (.f64 y x)) 3) (pow.f64 (.f64 x z) 3)) (+.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (-.f64 y (.f64 y x)) (-.f64 y (.f64 x (+.f64 y z))))))

rewrite181.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`*-un-lft-identity_binary64_19174`
15×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `times-frac_binary64_19180`
9×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
8×	`add-log-exp_binary64_19213`
7×	`pow1_binary64_19235`
5×	`sum-cubes_binary64_19175` `distribute-lft-out_binary64_19125` `associate-/l*_binary64_19119`
4×	`flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-+r+_binary64_19106`
3×	`associate-/r*_binary64_19118` `pow-unpow_binary64_19251`
2×	`associate-/l/_binary64_19121` `associate-/r/_binary64_19120` `sum-log_binary64_19265` `sub-neg_binary64_19167` `distribute-rgt-in_binary64_19124` `cancel-sign-sub-inv_binary64_19140` `distribute-lft-in_binary64_19123` `+-commutative_binary64_19104` `pow-pow_binary64_19246` `pow-exp_binary64_19242` `rem-cube-cbrt_binary64_19197`
1×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `frac-2neg_binary64_19185` `clear-num_binary64_19173` `div-inv_binary64_19171` `unpow-prod-down_binary64_19253` `pow-prod-down_binary64_19245` `pow-to-exp_binary64_19243` `prod-exp_binary64_19223` `unpow3_binary64_19240` `cube-mult_binary64_19204` `cube-prod_binary64_19202` `cbrt-unprod_binary64_19207` `sqr-pow_binary64_19146`

Counts

4 → 89

Calls

4 calls:

24.0ms	(/.f64 (+.f64 (pow.f64 (-.f64 y (.f64 y x)) 3) (pow.f64 (.f64 x z) 3)) (+.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (-.f64 y (.f64 y x)) (-.f64 y (.f64 x (+.f64 y z))))))
12.0ms	(+.f64 (pow.f64 (-.f64 y (.f64 y x)) 3) (pow.f64 (.f64 x z) 3))
9.0ms	(+.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (-.f64 y (.f64 y x)) (-.f64 y (.f64 x (+.f64 y z)))))
4.0ms	(pow.f64 (*.f64 x z) 3)

Compiler

Compiled 4889 to 972 computations (80.1% saved)

series3.3s (42%)

Error

0.0b

Counts

4 → 75

Calls

4 calls:

1.7s	(/.f64 (+.f64 (pow.f64 (-.f64 y (.f64 y x)) 3) (pow.f64 (.f64 x z) 3)) (+.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (-.f64 y (.f64 y x)) (-.f64 y (.f64 x (+.f64 y z))))))
697.0ms	(+.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 (-.f64 y (.f64 y x)) (-.f64 y (.f64 x (+.f64 y z)))))
688.0ms	(+.f64 (pow.f64 (-.f64 y (.f64 y x)) 3) (pow.f64 (.f64 x z) 3))
79.0ms	(pow.f64 (*.f64 x z) 3)

Compiler

Compiled 10250 to 6722 computations (34.4% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5048	6810

prune244.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	164	3	167

Error

0.0b

Counts

167 → 3

Compiler

Compiled 7461 to 2324 computations (68.9% saved)

regimes143.0ms (1.8%)

Accuracy

Total 0.0b remaining (77.3%)

Threshold costs 0.0b (77.3%)

Compiler

Compiled 1656 to 966 computations (41.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample872.0ms (11.2%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
18.0ms	669×	body	128	invalid

Compiler

Compiled 434 to 259 computations (40.3% saved)

Details

analyze431.0ms (5.6%)

sample19.0ms (0.2%)

simplify20.0ms (0.3%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite18.0ms (0.2%)

series120.0ms (1.5%)

simplify63.0ms (0.8%)

prune20.0ms (0.3%)

localize9.0ms (0.1%)

rewrite112.0ms (1.4%)

series1.9s (23.9%)

simplify84.0ms (1.1%)

prune187.0ms (2.4%)

localize18.0ms (0.2%)

rewrite181.0ms (2.3%)

series3.3s (42%)

simplify92.0ms (1.2%)

prune244.0ms (3.1%)

regimes143.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample872.0ms (11.2%)

Profiling