Details

analyze154.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	22
1	74	22
0	2	2
1	2	2

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)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify9.0ms (0.3%)

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)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 27

Calls

1 calls:

3.0ms

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

Compiler

Compiled 421 to 90 computations (78.6% saved)

series66.0ms (2.2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

62.0ms

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

Compiler

Compiled 126 to 78 computations (38.1% saved)

simplify49.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5220	573

prune24.0ms (0.8%)

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 461 to 91 computations (80.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite38.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

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×	`pow1_binary64_3549` `unswap-sqr_binary64_3456` `associate-l_binary64_3429`
2×	`div-exp_binary64_3539` `cbrt-unprod_binary64_3521`
1×	`pow-prod-down_binary64_3559` `1-exp_binary64_3532` `rec-exp_binary64_3538` `add-log-exp_binary64_3527` `cbrt-undiv_binary64_3522` `un-div-inv_binary64_3486` `associate-r/_binary64_3430` `div-inv_binary64_3485` `-commutative_binary64_3419`

Counts

1 → 36

Calls

1 calls:

7.0ms

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

Compiler

Compiled 619 to 265 computations (57.2% saved)

series72.0ms (2.4%)

Error

Counts

1 → 6

Calls

1 calls:

69.0ms

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

Compiler

Compiled 126 to 78 computations (38.1% saved)

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5415	604

prune26.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	42	3	45

Error

Counts

45 → 3

Compiler

Compiled 556 to 152 computations (72.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite177.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

103×	`cbrt-prod_binary64_3519`
81×	`add-sqr-sqrt_binary64_3510`
69×	`times-frac_binary64_3494`
57×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
16×	`swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
11×	`pow1_binary64_3549`
9×	`pow1/3_binary64_3570` `unswap-sqr_binary64_3456`
7×	`cbrt-div_binary64_3520` `div-inv_binary64_3485`
6×	`add-exp-log_binary64_3526`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `frac-times_binary64_3498` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `*-commutative_binary64_3419`

Counts

4 → 144

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
2.0ms	(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
2.0ms	(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
2.0ms	(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

Compiler

Compiled 5471 to 585 computations (89.3% saved)

series1.3s (44.8%)

Error

Counts

4 → 24

Calls

4 calls:

471.0ms	(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
289.0ms	(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
282.0ms	(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
271.0ms	(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

Compiler

Compiled 1854 to 698 computations (62.4% saved)

simplify88.0ms (3%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5082	4481

prune152.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	168	3	171

Error

Counts

171 → 3

Compiler

Compiled 5599 to 578 computations (89.7% saved)

regimes63.0ms (2.1%)

Accuracy

Total 0.0b remaining (92.1%)

Threshold costs 0.0b (92.1%)

Compiler

Compiled 618 to 353 computations (42.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms (0%)

sample594.0ms (20%)

Algorithm

1×

intervals

Results

185.0ms	8000×	body	128	valid
4.0ms	209×	body	128	invalid

Compiler

Compiled 215 to 126 computations (41.4% saved)

Details

analyze154.0ms (5.2%)

sample14.0ms (0.5%)

simplify9.0ms (0.3%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite26.0ms (0.9%)

series66.0ms (2.2%)

simplify49.0ms (1.7%)

prune24.0ms (0.8%)

localize6.0ms (0.2%)

rewrite38.0ms (1.3%)

series72.0ms (2.4%)

simplify58.0ms (2%)

prune26.0ms (0.9%)

localize9.0ms (0.3%)

rewrite177.0ms (6%)

series1.3s (44.8%)

simplify88.0ms (3%)

prune152.0ms (5.1%)

regimes63.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample594.0ms (20%)

Profiling