Details

analyze784.0ms (13.6%)

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)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	25×	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

prune6.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_17491`
7×	`*-un-lft-identity_binary64_17469`
6×	`associate-l_binary64_17410`
4×	`add-cube-cbrt_binary64_17504` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
3×	`associate-r_binary64_17409`
2×	`difference-of-squares_binary64_17438` `associate-*l/_binary64_17412`
1×	`*-commutative_binary64_17400` `flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `distribute-lft-out--_binary64_17421` `cbrt-unprod_binary64_17502` `sum-log_binary64_17560` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

2 → 34

Calls

2 calls:

12.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
12.0ms	(*.f64 (-.f64 1 x) y)

series309.0ms (5.3%)

Counts

2 → 27

Calls

2 calls:

209.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
99.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 332 to 283 computations (14.8% saved)

simplify113.0ms (2%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5615	606

prune78.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

0.0b

Counts

63 → 3

Compiler

Compiled 692 to 287 computations (58.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite65.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_17491`
24×	`sqrt-prod_binary64_17485`
23×	`pow1_binary64_17530`
20×	`*-un-lft-identity_binary64_17469`
18×	`add-cube-cbrt_binary64_17504`
16×	`sqrt-div_binary64_17486`
11×	`associate-r_binary64_17409`
10×	`sqrt-pow1_binary64_17487` `pow1/2_binary64_17549`
9×	`associate-l_binary64_17410`
8×	`flip3-+_binary64_17472` `flip-+_binary64_17443` `add-exp-log_binary64_17507` `swap-sqr_binary64_17436` `add-cbrt-cube_binary64_17505`
6×	`cancel-sign-sub-inv_binary64_17435`
5×	`pow-prod-up_binary64_17539` `unswap-sqr_binary64_17437`
4×	`rem-sqrt-square_binary64_17482` `distribute-rgt-in_binary64_17419` `associate-*r/_binary64_17411` `frac-times_binary64_17479` `pow-prod-down_binary64_17540` `distribute-lft-in_binary64_17418` `add-log-exp_binary64_17508`
3×	`pow-sqr_binary64_17442`
2×	`sub-neg_binary64_17462` `-commutative_binary64_17400` `prod-exp_binary64_17518` `associate-l/_binary64_17412` `cbrt-unprod_binary64_17502`
1×	`pow-plus_binary64_17532` `difference-of-squares_binary64_17438` `sqrt-unprod_binary64_17489` `rem-square-sqrt_binary64_17481` `pow2_binary64_17550` `sqr-abs_binary64_17484` `distribute-lft-out--_binary64_17421` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

4 → 118

Calls

4 calls:

19.0ms	(.f64 (sqrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
13.0ms	(*.f64 x (-.f64 z y))
5.0ms	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
5.0ms	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

series929.0ms (16.1%)

Counts

4 → 61

Calls

4 calls:

265.0ms	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
263.0ms	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
222.0ms	(.f64 (sqrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
178.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 2523 to 1826 computations (27.6% saved)

simplify137.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5006	2744

prune210.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	179	3	182

Error

0.0b

Counts

182 → 3

Compiler

Compiled 3481 to 596 computations (82.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (*.f64 x (-.f64 z y)))
0.0b	(*.f64 x (-.f64 z y))
0.2b	(pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3)
39.4b	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3))

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_17491`
18×	`*-un-lft-identity_binary64_17469`
16×	`add-cube-cbrt_binary64_17504`
12×	`cbrt-prod_binary64_17500` `cancel-sign-sub-inv_binary64_17435`
8×	`associate-+r+_binary64_17401` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418`
7×	`add-exp-log_binary64_17507` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
6×	`unpow-prod-down_binary64_17548` `cube-prod_binary64_17497` `add-log-exp_binary64_17508`
5×	`associate-r_binary64_17409`
4×	`sub-neg_binary64_17462` `cube-div_binary64_17498`
3×	`associate-l_binary64_17410` `flip3-+_binary64_17472` `flip-+_binary64_17443` `pow-unpow_binary64_17546`
2×	`cbrt-div_binary64_17501` `sqr-pow_binary64_17441` `associate-*r/_binary64_17411` `unpow3_binary64_17535` `cube-mult_binary64_17499`
1×	`*-commutative_binary64_17400` `pow-exp_binary64_17537` `pow1/3_binary64_17551` `difference-of-squares_binary64_17438` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `rem-cube-cbrt_binary64_17492` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `distribute-lft-out--_binary64_17421` `cbrt-unprod_binary64_17502` `pow-to-exp_binary64_17538` `pow-pow_binary64_17541` `rem-cbrt-cube_binary64_17493` `sum-log_binary64_17560` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

4 → 97

Calls

4 calls:

13.0ms	(*.f64 x (-.f64 z y))
11.0ms	(pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3)
9.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3))

series1.2s (20.7%)

Counts

4 → 87

Calls

4 calls:

584.0ms	(pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3)
223.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
215.0ms	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3))
172.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 2845 to 2338 computations (17.8% saved)

simplify168.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4982	4197
1	4982	4197

prune273.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	184	3	187

Error

0.0b

Counts

187 → 3

Compiler

Compiled 3581 to 1460 computations (59.2% saved)

regimes152.0ms (2.6%)

Accuracy

Total 0.0b remaining (64.4%)

Threshold costs 0.0b (64.4%)

Compiler

Compiled 396 to 366 computations (7.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample1.2s (20.2%)

Algorithm

1×

intervals

Results

440.0ms	8000×	body	128	valid
37.0ms	657×	body	128	invalid

Compiler

Compiled 119 to 109 computations (8.4% saved)

Details

analyze784.0ms (13.6%)

sample29.0ms (0.5%)

simplify37.0ms (0.6%)

prune6.0ms (0.1%)

localize16.0ms (0.3%)

rewrite29.0ms (0.5%)

series309.0ms (5.3%)

simplify113.0ms (2%)

prune78.0ms (1.3%)

localize15.0ms (0.3%)

rewrite65.0ms (1.1%)

series929.0ms (16.1%)

simplify137.0ms (2.4%)

prune210.0ms (3.6%)

localize15.0ms (0.3%)

rewrite53.0ms (0.9%)

series1.2s (20.7%)

simplify168.0ms (2.9%)

prune273.0ms (4.7%)

regimes152.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (20.2%)

Profiling