Details

analyze1.6s (9.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample48.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
9.0ms	160×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify163.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune6.0ms (0%)

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: 7.7b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
1.3b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
4.4b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
11.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
18×	`times-frac_binary64_18498`
13×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`pow1_binary64_18553`
6×	`associate-/l_binary64_18437` `add-log-exp_binary64_18531` `associate-/r_binary64_18436`
4×	`associate-/l/_binary64_18439`
3×	`flip-+_binary64_18466` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `flip3-+_binary64_18495` `associate-r_binary64_18432` `pow-prod-down_binary64_18563`
2×	`div-exp_binary64_18543` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489`
1×	`+-commutative_binary64_18422` `associate-l_binary64_18433` `*-commutative_binary64_18423` `sum-log_binary64_18583`

Counts

4 → 87

Calls

4 calls:

16.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

series1.7s (10.1%)

Counts

4 → 100

Calls

4 calls:

864.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
532.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
235.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
58.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2717 to 2648 computations (2.5% saved)

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4964	4011
1	4964	4011

prune239.0ms (1.4%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	162	25	187
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	163	26	189

Merged error: 6.6b

Counts

189 → 26

Compiler

Compiled 4424 to 2434 computations (45% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x y) -9)
1.3b	(+.f64 (/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z)) (.f64 (.f64 t a) -4))
4.4b	(/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z))
11.5b	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z)) (.f64 (.f64 t a) -4)) c)

rewrite64.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac_binary64_18498`
36×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
13×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528` `associate-/r*_binary64_18436`
12×	`distribute-lft-neg-in_binary64_18449` `distribute-rgt-neg-in_binary64_18450`
9×	`pow1_binary64_18553`
6×	`associate-/l*_binary64_18437` `add-log-exp_binary64_18531`
4×	`associate-/l/_binary64_18439` `neg-mul-1_binary64_18488` `div-sub_binary64_18497`
3×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `associate-r_binary64_18432` `pow-prod-down_binary64_18563`
2×	`div-exp_binary64_18543` `flip-+_binary64_18466` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489` `flip3-+_binary64_18495` `associate-+l-_binary64_18427`
1×	`+-commutative_binary64_18422` `flip--_binary64_18467` `associate-l_binary64_18433` `*-commutative_binary64_18423` `sum-log_binary64_18583` `flip3--_binary64_18496`

Counts

4 → 118

Calls

4 calls:

20.0ms	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z)) (.f64 (.f64 t a) -4)) c)
16.0ms	(+.f64 (/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z)) (.f64 (.f64 t a) -4))
10.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z))
6.0ms	(.f64 (.f64 x y) -9)

series1.7s (10.3%)

Counts

4 → 100

Calls

4 calls:

840.0ms	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z)) (.f64 (.f64 t a) -4)) c)
550.0ms	(+.f64 (/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z)) (.f64 (.f64 t a) -4))
261.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) -9) b) (neg.f64 z))
65.0ms	(.f64 (.f64 x y) -9)

Compiler

Compiled 2729 to 2660 computations (2.5% saved)

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4943	5087
1	4943	5087

prune246.0ms (1.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	25	25
Picked	0	1	1
Done	0	0	0
Total	218	26	244

Merged error: 6.6b

Counts

244 → 26

Compiler

Compiled 5410 to 2695 computations (50.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
1.3b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
4.4b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
11.6b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_18514`
22×	`*-un-lft-identity_binary64_18492`
21×	`add-cube-cbrt_binary64_18527`
20×	`add-exp-log_binary64_18530` `times-frac_binary64_18498`
16×	`add-cbrt-cube_binary64_18528` `associate-r_binary64_18432`
11×	`pow1_binary64_18553`
7×	`prod-exp_binary64_18541`
6×	`add-log-exp_binary64_18531`
5×	`cbrt-unprod_binary64_18525`
4×	`flip-+_binary64_18466` `associate-l_binary64_18433` `flip3-+_binary64_18495` `pow-prod-down_binary64_18563`
3×	`div-exp_binary64_18543` `unswap-sqr_binary64_18460` `associate-/l_binary64_18437` `associate-/r_binary64_18436`
2×	`associate-/l/_binary64_18439` `-commutative_binary64_18423` `frac-times_binary64_18502` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489` `associate-l/_binary64_18435`
1×	`rec-exp_binary64_18542` `+-commutative_binary64_18422` `un-div-inv_binary64_18490` `associate-*r/_binary64_18434` `frac-2neg_binary64_18503` `sum-log_binary64_18583` `clear-num_binary64_18491` `1-exp_binary64_18536`

Counts

4 → 98

Calls

4 calls:

20.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

series1.7s (10.1%)

Counts

4 → 100

Calls

4 calls:

841.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
560.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
237.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
57.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2913 to 2844 computations (2.4% saved)

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5213	4226

prune229.0ms (1.4%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	1	23	24
Picked	0	1	1
Done	0	1	1
Total	197	27	224

Merged error: 6.6b

Counts

224 → 27

Compiler

Compiled 4878 to 2811 computations (42.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
1.3b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
4.4b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
11.5b	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))

rewrite70.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`times-frac_binary64_18498`
64×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
21×	`associate-/r*_binary64_18436`
19×	`add-exp-log_binary64_18530`
13×	`add-cbrt-cube_binary64_18528`
11×	`associate-/r/_binary64_18438`
9×	`div-exp_binary64_18543` `associate-/l*_binary64_18437`
7×	`flip-+_binary64_18466` `div-inv_binary64_18489` `flip3-+_binary64_18495`
6×	`add-log-exp_binary64_18531`
5×	`pow1_binary64_18553` `cbrt-undiv_binary64_18526`
3×	`frac-2neg_binary64_18503` `clear-num_binary64_18491`
2×	`rec-exp_binary64_18542` `associate-/l/_binary64_18439` `1-exp_binary64_18536`
1×	`+-commutative_binary64_18422` `pow-flip_binary64_18566` `sum-log_binary64_18583` `inv-pow_binary64_18577`

Counts

4 → 153

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
15.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)

series2.4s (14.2%)

Counts

4 → 129

Calls

4 calls:

833.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
754.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))
558.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
230.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)

Compiler

Compiled 5224 to 4708 computations (9.9% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4988	9020
1	4988	9020

prune380.0ms (2.3%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	278	4	282
Fresh	3	21	24
Picked	1	0	1
Done	0	2	2
Total	282	27	309

Merged error: 6.6b

Counts

309 → 27

Compiler

Compiled 7683 to 4079 computations (46.9% saved)

regimes2.5s (15%)

Compiler: Compiled 19134 to 17972 computations (6.1% saved)

bsearch4.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	128	206
1	128	206

end0.0ms (0%)

sample3.1s (18.7%)

Algorithm

1×

intervals

Results

511.0ms	8000×	body	128	valid
294.0ms	4687×	body	128	invalid

Compiler

Compiled 2029 to 1783 computations (12.1% saved)

Details

analyze1.6s (9.7%)

sample48.0ms (0.3%)

simplify163.0ms (1%)

prune6.0ms (0%)

localize14.0ms (0.1%)

rewrite52.0ms (0.3%)

series1.7s (10.1%)

simplify85.0ms (0.5%)

prune239.0ms (1.4%)

localize13.0ms (0.1%)

rewrite64.0ms (0.4%)

series1.7s (10.3%)

simplify112.0ms (0.7%)

prune246.0ms (1.5%)

localize14.0ms (0.1%)

rewrite54.0ms (0.3%)

series1.7s (10.1%)

simplify81.0ms (0.5%)

prune229.0ms (1.4%)

localize15.0ms (0.1%)

rewrite70.0ms (0.4%)

series2.4s (14.2%)

simplify93.0ms (0.6%)

prune380.0ms (2.3%)

regimes2.5s (15%)

bsearch4.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.1s (18.7%)

Profiling