Details

analyze54.0ms (2.5%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify101.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_3510` `times-frac_binary64_3494` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
3×	`associate-/r_binary64_3432` `add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-/l_binary64_3433`
1×	`clear-num_binary64_3487` `frac-2neg_binary64_3499` `add-log-exp_binary64_3527` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `pow1_binary64_3549` `div-inv_binary64_3485`

Counts

1 → 27

Calls

2 calls:

3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series75.0ms (3.4%)

Counts

1 → 6

Calls

1 calls:

75.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 84 to 72 computations (14.3% saved)

simplify50.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5220	573

prune37.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 447 to 90 computations (79.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_3494`
52×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
16×	`associate-/r*_binary64_3432`
15×	`add-exp-log_binary64_3526`
9×	`add-cbrt-cube_binary64_3524`
8×	`div-exp_binary64_3539`
6×	`associate-/l*_binary64_3433` `div-inv_binary64_3485`
4×	`cbrt-undiv_binary64_3522`
3×	`pow1_binary64_3549`
2×	`1-exp_binary64_3532` `clear-num_binary64_3487` `rec-exp_binary64_3538` `frac-2neg_binary64_3499` `add-log-exp_binary64_3527`
1×	`pow-flip_binary64_3562` `associate-/r/_binary64_3434` `inv-pow_binary64_3573`

Counts

2 → 103

Calls

4 calls:

6.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
3.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

series165.0ms (7.5%)

Counts

2 → 12

Calls

2 calls:

89.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
76.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

Compiler

Compiled 192 to 168 computations (12.5% saved)

simplify77.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4981	2412
1	4981	2412

prune79.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	116	2	118

Error

Counts

118 → 2

Compiler

Compiled 1860 to 422 computations (77.3% saved)

localize9.0ms (0.4%)

Local error

Found 8 expressions with local error:

16.8b	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3))
0.1b	(pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)
0.1b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)))
0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.1b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)))
0.1b	(pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)
16.8b	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3))

rewrite61.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

222×	`times-frac_binary64_3494`
160×	`cbrt-prod_binary64_3519`
142×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
78×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
38×	`associate-/r*_binary64_3432`
14×	`div-inv_binary64_3485`
13×	`add-exp-log_binary64_3526`
10×	`add-cbrt-cube_binary64_3524`
6×	`unpow3_binary64_3554` `associate-/l*_binary64_3433` `sqr-pow_binary64_3460` `cube-mult_binary64_3518` `pow1_binary64_3549`
4×	`add-log-exp_binary64_3527` `div-exp_binary64_3539`
3×	`pow-unpow_binary64_3565` `cube-div_binary64_3517` `cbrt-undiv_binary64_3522`
2×	`pow-exp_binary64_3556` `clear-num_binary64_3487` `pow-flip_binary64_3562` `rem-cube-cbrt_binary64_3511` `frac-2neg_binary64_3499` `cbrt-div_binary64_3520` `pow1/3_binary64_3570`
1×	`1-exp_binary64_3532` `associate-/r/_binary64_3434` `rec-exp_binary64_3538` `pow-to-exp_binary64_3557` `rem-cbrt-cube_binary64_3512` `inv-pow_binary64_3573` `pow-pow_binary64_3560`

Counts

4 → 276

Calls

8 calls:

12.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)))
5.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3))
5.0ms	(pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)
3.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
0.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))

series459.0ms (20.9%)

Counts

4 → 24

Calls

4 calls:

214.0ms	(pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)
88.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
85.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3))
72.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))) 3)))

Compiler

Compiled 504 to 456 computations (9.5% saved)

simplify94.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5358	6600

prune243.0ms (11%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	300	2	302

Error

Counts

302 → 2

Compiler

Compiled 5461 to 1909 computations (65% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	269
1	53	269

regimes68.0ms (3.1%)

Compiler: Compiled 516 to 344 computations (33.3% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.7%)

Accuracy

Total 0.0b remaining (90.3%)

Threshold costs 0.0b (90.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch1.0ms (0.1%)

Compiler: Compiled 8 to 9 computations (-12.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms (0%)

sample551.0ms (25.1%)

Algorithm

1×

intervals

Results

189.0ms	8000×	body	128	valid
5.0ms	205×	body	128	invalid

Compiler

Compiled 182 to 126 computations (30.8% saved)

Pareto

0.0

Details

analyze54.0ms (2.5%)

sample15.0ms (0.7%)

simplify101.0ms (4.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series75.0ms (3.4%)

simplify50.0ms (2.3%)

prune37.0ms (1.7%)

localize7.0ms (0.3%)

rewrite18.0ms (0.8%)

series165.0ms (7.5%)

simplify77.0ms (3.5%)

prune79.0ms (3.6%)

localize9.0ms (0.4%)

rewrite61.0ms (2.8%)

series459.0ms (20.9%)

simplify94.0ms (4.3%)

prune243.0ms (11%)

simplify5.0ms (0.2%)

regimes68.0ms (3.1%)

bsearch0.0ms (0%)

regimes15.0ms (0.7%)

bsearch1.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample551.0ms (25.1%)

Profiling