Details

analyze113.0ms (3.9%)

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)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify148.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune4.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize15.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

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

1 calls:

6.0ms

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

series52.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5220	540

prune40.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

Compiler

Compiled 438 to 99 computations (77.4% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_3510`
13×	`associate-r_binary64_3428`
11×	`times-frac_binary64_3494`
10×	`add-exp-log_binary64_3526` `*-un-lft-identity_binary64_3488`
9×	`add-cube-cbrt_binary64_3523`
6×	`add-cbrt-cube_binary64_3524`
4×	`prod-exp_binary64_3537`
3×	`unswap-sqr_binary64_3456` `associate-l_binary64_3429` `pow1_binary64_3549`
2×	`cbrt-unprod_binary64_3521` `div-exp_binary64_3539`
1×	`1-exp_binary64_3532` `rec-exp_binary64_3538` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `-commutative_binary64_3419` `cbrt-undiv_binary64_3522` `un-div-inv_binary64_3486` `div-inv_binary64_3485`

Counts

1 → 36

Calls

1 calls:

13.0ms

(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

series55.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

55.0ms

(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

simplify103.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5415	571

prune46.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0b

Counts

43 → 4

Compiler

Compiled 533 to 160 computations (70% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.2b	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
0.3b	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))

rewrite59.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_3510`
40×	`times-frac_binary64_3494`
36×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
35×	`sqrt-prod_binary64_3504`
22×	`associate-r_binary64_3428`
11×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
8×	`pow1_binary64_3549`
6×	`unswap-sqr_binary64_3456` `associate-/l_binary64_3433` `associate-l*_binary64_3429`
4×	`add-log-exp_binary64_3527`
3×	`associate-/r*_binary64_3432`
2×	`cbrt-unprod_binary64_3521` `pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485` `prod-exp_binary64_3537` `rem-sqrt-square_binary64_3501`
1×	`clear-num_binary64_3487` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `frac-2neg_binary64_3499` `-commutative_binary64_3419`

Counts

4 → 113

Calls

4 calls:

23.0ms	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
8.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
5.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

series230.0ms (8%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y))
63.0ms	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (fabs.f64 y)))
40.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
40.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify173.0ms (6%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5443	2278

prune151.0ms (5.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Merged error: 0b

Counts

129 → 4

Compiler

Compiled 2445 to 302 computations (87.6% saved)

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.1b	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
13.8b	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

rewrite42.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_3494`
41×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
32×	`cbrt-prod_binary64_3519`
26×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
8×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
5×	`div-inv_binary64_3485`
4×	`pow1_binary64_3549`
3×	`associate-/r_binary64_3432` `associate-/l_binary64_3433` `pow-unpow_binary64_3565` `add-log-exp_binary64_3527`
2×	`pow-exp_binary64_3556` `unpow3_binary64_3554` `rem-cube-cbrt_binary64_3511` `cube-div_binary64_3517` `sqr-pow_binary64_3460` `cube-mult_binary64_3518` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
1×	`clear-num_binary64_3487` `pow-to-exp_binary64_3557` `rem-cbrt-cube_binary64_3512` `frac-2neg_binary64_3499` `cbrt-div_binary64_3520` `pow1/3_binary64_3570` `pow-pow_binary64_3560`

Counts

3 → 115

Calls

3 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
9.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
6.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series279.0ms (9.7%)

Counts

3 → 9

Calls

3 calls:

168.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
56.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
56.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify88.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5418	2387

prune158.0ms (5.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Merged error: 0b

Counts

128 → 4

Compiler

Compiled 1933 to 549 computations (71.6% saved)

regimes84.0ms (2.9%)

Compiler: Compiled 306 to 191 computations (37.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms (0%)

sample853.0ms (29.7%)

Algorithm

1×

intervals

Results

342.0ms	8000×	body	128	valid
13.0ms	205×	body	128	invalid

Compiler

Compiled 111 to 72 computations (35.1% saved)

Details

analyze113.0ms (3.9%)

sample22.0ms (0.7%)

simplify148.0ms (5.2%)

prune4.0ms (0.1%)

localize15.0ms (0.5%)

rewrite9.0ms (0.3%)

series52.0ms (1.8%)

simplify80.0ms (2.8%)

prune40.0ms (1.4%)

localize13.0ms (0.4%)

rewrite22.0ms (0.8%)

series55.0ms (1.9%)

simplify103.0ms (3.6%)

prune46.0ms (1.6%)

localize15.0ms (0.5%)

rewrite59.0ms (2.1%)

series230.0ms (8%)

simplify173.0ms (6%)

prune151.0ms (5.3%)

localize15.0ms (0.5%)

rewrite42.0ms (1.5%)

series279.0ms (9.7%)

simplify88.0ms (3.1%)

prune158.0ms (5.5%)

regimes84.0ms (2.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample853.0ms (29.7%)

Profiling