Details

analyze1.1s (11.1%)

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
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample101.0ms (1%)

Algorithm

1×

intervals

Results

34.0ms	52×	body	1024	valid
15.0ms	36×	body	512	valid
15.0ms	141×	body	128	valid
10.0ms	8×	body	2048	valid
5.0ms	19×	body	256	valid
4.0ms	6×	body	1024	invalid
1.0ms	4×	body	256	invalid
1.0ms	7×	body	128	invalid
1.0ms	2×	body	512	invalid
1.0ms	7×	body	128	nan

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify273.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4944	13
1	4944	13

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 12.2b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
0.0b	(/.f64 x (+.f64 x y))
5.8b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite79.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_12701`
118×	`*-un-lft-identity_binary64_12695`
90×	`unpow-prod-down_binary64_12774`
80×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
25×	`associate-/l*_binary64_12640`
19×	`distribute-lft-out_binary64_12646`
16×	`add-exp-log_binary64_12733`
12×	`associate-/r/_binary64_12641`
7×	`div-exp_binary64_12746` `div-inv_binary64_12692` `associate-/r*_binary64_12639` `add-cbrt-cube_binary64_12731`
6×	`flip-+_binary64_12669` `flip3-+_binary64_12698`
5×	`sqr-pow_binary64_12667`
4×	`pow1_binary64_12756` `pow-exp_binary64_12763`
3×	`pow-unpow_binary64_12772` `add-log-exp_binary64_12734`
2×	`cbrt-undiv_binary64_12729` `frac-2neg_binary64_12706` `pow-to-exp_binary64_12764` `clear-num_binary64_12694`
1×	`pow-pow_binary64_12767`

Counts

3 → 172

Calls

3 calls:

23.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
14.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
10.0ms	(/.f64 x (+.f64 x y))

series612.0ms (6.3%)

Counts

3 → 9

Calls

3 calls:

330.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
236.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
46.0ms	(/.f64 x (+.f64 x y))

simplify176.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5028	4031

prune254.0ms (2.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	5	182

Merged error: 0.0b

Counts

182 → 5

Compiler

Compiled 3435 to 692 computations (79.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.0b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
1.7b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite89.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64_12774`
51×	`cbrt-prod_binary64_12726`
48×	`*-un-lft-identity_binary64_12695`
43×	`times-frac_binary64_12701`
36×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
20×	`add-exp-log_binary64_12733`
14×	`cbrt-div_binary64_12727`
10×	`associate-/r/_binary64_12641`
7×	`flip-+_binary64_12669` `flip3-+_binary64_12698` `pow-exp_binary64_12763`
6×	`distribute-lft-out_binary64_12646` `pow-unpow_binary64_12772` `pow1_binary64_12756`
5×	`div-exp_binary64_12746`
4×	`prod-exp_binary64_12744` `frac-times_binary64_12705` `add-log-exp_binary64_12734` `add-cbrt-cube_binary64_12731`
2×	`pow-pow_binary64_12767` `div-inv_binary64_12692` `pow-to-exp_binary64_12764` `associate-l/_binary64_12638` `sqr-pow_binary64_12667` `pow1/3_binary64_12777` `associate-r/_binary64_12637`

Counts

4 → 116

Calls

4 calls:

32.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
23.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series1.2s (12.3%)

Counts

4 → 12

Calls

4 calls:

465.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
416.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
158.0ms	(cbrt.f64 x)
157.0ms	(cbrt.f64 x)

simplify166.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4997	3064
1	4997	3064

prune249.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	128	5	133

Merged error: 0.0b

Counts

133 → 5

Compiler

Compiled 4703 to 911 computations (80.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717` `times-frac_binary64_12701`
3×	`associate-/l_binary64_12640` `associate-/r_binary64_12639` `add-cbrt-cube_binary64_12731`
2×	`associate-/l/_binary64_12642` `add-exp-log_binary64_12733`
1×	`exp-diff_binary64_12743` `neg-sub0_binary64_12690` `div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `frac-2neg_binary64_12706` `exp-neg_binary64_12742` `div-inv_binary64_12692` `pow1_binary64_12756` `add-log-exp_binary64_12734` `clear-num_binary64_12694`

Counts

1 → 29

Calls

1 calls:

11.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

series40.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

40.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	6118	435

prune49.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	30	7	37

Merged error: 0b

Counts

37 → 7

Compiler

Compiled 412 to 136 computations (67% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (exp.f64 y))
0.0b	(/.f64 1 (*.f64 x (exp.f64 y)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64_12733`
9×	`add-cbrt-cube_binary64_12731`
8×	`add-sqr-sqrt_binary64_12717`
7×	`pow1_binary64_12756`
6×	`*-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730`
4×	`prod-exp_binary64_12744` `div-exp_binary64_12746`
3×	`associate-l_binary64_12636` `associate-/l_binary64_12640` `associate-r*_binary64_12635` `times-frac_binary64_12701`
2×	`rec-exp_binary64_12745` `cbrt-undiv_binary64_12729` `pow-flip_binary64_12769` `pow-prod-down_binary64_12766` `1-exp_binary64_12739` `cbrt-unprod_binary64_12728` `add-log-exp_binary64_12734`
1×	`frac-2neg_binary64_12706` `div-inv_binary64_12692` `-commutative_binary64_12626` `unswap-sqr_binary64_12663` `associate-/r_binary64_12639` `clear-num_binary64_12694` `inv-pow_binary64_12780`

Counts

2 → 46

Calls

2 calls:

11.0ms	(/.f64 1 (*.f64 x (exp.f64 y)))
10.0ms	(*.f64 x (exp.f64 y))

series90.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(/.f64 1 (*.f64 x (exp.f64 y)))
36.0ms	(*.f64 x (exp.f64 y))

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5009	455

prune49.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	52	7	59

Merged error: 0b

Counts

59 → 7

Compiler

Compiled 447 to 179 computations (60% saved)

regimes656.0ms (6.7%)

Compiler: Compiled 1829 to 1035 computations (43.4% saved)

bsearch4.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	193
1	48	193

end0.0ms (0%)

sample4.2s (43.4%)

Algorithm

1×

intervals

Results

1.1s	1718×	body	1024	valid
479.0ms	4523×	body	128	valid
427.0ms	1052×	body	512	valid
195.0ms	166×	body	2048	valid
133.0ms	541×	body	256	valid
124.0ms	200×	body	1024	invalid
91.0ms	232×	body	512	invalid
37.0ms	155×	body	256	invalid
26.0ms	193×	body	128	invalid
14.0ms	186×	body	128	nan

Compiler

Compiled 781 to 416 computations (46.7% saved)

Details

analyze1.1s (11.1%)

sample101.0ms (1%)

simplify273.0ms (2.8%)

prune6.0ms (0.1%)

localize17.0ms (0.2%)

rewrite79.0ms (0.8%)

series612.0ms (6.3%)

simplify176.0ms (1.8%)

prune254.0ms (2.6%)

localize30.0ms (0.3%)

rewrite89.0ms (0.9%)

series1.2s (12.3%)

simplify166.0ms (1.7%)

prune249.0ms (2.6%)

localize8.0ms (0.1%)

rewrite14.0ms (0.1%)

series40.0ms (0.4%)

simplify122.0ms (1.3%)

prune49.0ms (0.5%)

localize9.0ms (0.1%)

rewrite25.0ms (0.3%)

series90.0ms (0.9%)

simplify106.0ms (1.1%)

prune49.0ms (0.5%)

regimes656.0ms (6.7%)

bsearch4.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample4.2s (43.4%)

Profiling