Details

analyze62.0ms (4.5%)

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)

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

simplify174.0ms (12.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	53	11
1	53	11

prune2.0ms (0.2%)

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)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_3116` `add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `add-sqr-sqrt_binary64_3131`
3×	`add-exp-log_binary64_3145` `associate-/r_binary64_3056` `add-cbrt-cube_binary64_3143` `associate-/l_binary64_3057`
1×	`cbrt-undiv_binary64_3141` `div-exp_binary64_3158` `clear-num_binary64_3109` `pow1_binary64_3168` `add-log-exp_binary64_3146` `frac-2neg_binary64_3121` `div-inv_binary64_3107`

Counts

1 → 27

Calls

1 calls:

3.0ms

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

series59.0ms (4.2%)

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify109.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5122	540

prune22.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0b

Counts

31 → 2

Compiler

Compiled 414 to 82 computations (80.2% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
2.2b	(exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
3.2b	(log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

rewrite17.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`times-frac_binary64_3116`
26×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `log-prod_binary64_3193` `add-sqr-sqrt_binary64_3131`
13×	`exp-sum_binary64_3153`
8×	`add-exp-log_binary64_3145`
5×	`pow1_binary64_3168` `add-cbrt-cube_binary64_3143`
4×	`exp-prod_binary64_3159`
3×	`add-log-exp_binary64_3146` `associate-/r_binary64_3056` `associate-/l_binary64_3057` `div-inv_binary64_3107`
2×	`div-exp_binary64_3158` `log-pow_binary64_3196` `rem-log-exp_binary64_3148` `log-div_binary64_3194`
1×	`exp-diff_binary64_3155` `cbrt-undiv_binary64_3141` `clear-num_binary64_3109` `frac-2neg_binary64_3121` `rem-exp-log_binary64_3147`

Counts

3 → 77

Calls

3 calls:

4.0ms	(exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
3.0ms	(log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

series304.0ms (21.9%)

Counts

3 → 9

Calls

3 calls:

149.0ms	(exp.f64 (log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
103.0ms	(log.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
52.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify110.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4902	1525
1	4902	1525

prune57.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Merged error: 0b

Counts

88 → 2

Compiler

Compiled 1239 to 268 computations (78.4% saved)

regimes25.0ms (1.8%)

Compiler: Compiled 66 to 62 computations (6.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms (0%)

sample417.0ms (30%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	128	valid
5.0ms	203×	body	128	invalid

Compiler

Compiled 31 to 29 computations (6.5% saved)

Details

analyze62.0ms (4.5%)

sample13.0ms (0.9%)

simplify174.0ms (12.5%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite6.0ms (0.4%)

series59.0ms (4.2%)

simplify109.0ms (7.8%)

prune22.0ms (1.6%)

localize8.0ms (0.6%)

rewrite17.0ms (1.2%)

series304.0ms (21.9%)

simplify110.0ms (7.9%)

prune57.0ms (4.1%)

regimes25.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample417.0ms (30%)

Profiling