Details

analyze1.2s (12%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	112
1	4937	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample32.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	99×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify392.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (383.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

prune4.0ms (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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
0.2b	(.f64 (.f64 z 3) y)
0.2b	(/.f64 y (*.f64 z 3))
5.6b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite146.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
16×	`*-un-lft-identity_binary64_18492`
11×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514`
9×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `times-frac_binary64_18498`
8×	`associate-+l+_binary64_18425`
7×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `cancel-sign-sub-inv_binary64_18458`
6×	`associate-/l*_binary64_18437`
5×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
3×	`div-inv_binary64_18489` `pow-prod-down_binary64_18563` `associate-r_binary64_18432`
2×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `associate-/r*_binary64_18436` `sum-log_binary64_18583` `frac-add_binary64_18500` `distribute-lft-out_binary64_18443`
1×	`associate-l_binary64_18433` `*-commutative_binary64_18423` `diff-log_binary64_18584` `flip3--_binary64_18496` `flip--_binary64_18467` `flip3-+_binary64_18495` `flip-+_binary64_18466` `distribute-lft-out--_binary64_18444` `associate-+l-_binary64_18427` `sub-neg_binary64_18485` `+-commutative_binary64_18422`

Counts

4 → 87

Calls

4 calls:

13.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
6.0ms	(/.f64 t (.f64 (.f64 z 3) y))
5.0ms	(.f64 (.f64 z 3) y)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1982 to 1218 computations (38.5% saved)

series659.0ms (6.8%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

374.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
140.0ms	(/.f64 t (.f64 (.f64 z 3) y))
61.0ms	(/.f64 y (*.f64 z 3))
50.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 1663 to 1240 computations (25.4% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4969	1888
1	4969	1888

prune139.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	129	8	137

Error

0.0b

Counts

137 → 8

Compiler

Compiled 2407 to 1320 computations (45.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
0.2b	(/.f64 y (*.f64 z 3))
0.2b	(/.f64 t (*.f64 z 3))
4.9b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite188.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_18498`
31×	`*-un-lft-identity_binary64_18492`
26×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514`
23×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
13×	`associate-/l*_binary64_18437`
9×	`div-exp_binary64_18543` `add-log-exp_binary64_18531` `cbrt-undiv_binary64_18526`
8×	`div-inv_binary64_18489` `associate-+l+_binary64_18425`
7×	`cancel-sign-sub-inv_binary64_18458`
5×	`associate-/r*_binary64_18436`
4×	`pow1_binary64_18553`
3×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `frac-2neg_binary64_18503` `clear-num_binary64_18491`
2×	`sum-log_binary64_18583` `frac-add_binary64_18500` `distribute-lft-out_binary64_18443`
1×	`associate-/l/_binary64_18439` `diff-log_binary64_18584` `flip3--_binary64_18496` `flip--_binary64_18467` `flip3-+_binary64_18495` `flip-+_binary64_18466` `distribute-lft-out--_binary64_18444` `associate-+l-_binary64_18427` `sub-neg_binary64_18485` `+-commutative_binary64_18422`

Counts

4 → 115

Calls

4 calls:

18.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
7.0ms	(/.f64 t (*.f64 z 3))
7.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 2647 to 1585 computations (40.1% saved)

series657.0ms (6.8%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

374.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
133.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
65.0ms	(/.f64 t (*.f64 z 3))
55.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1663 to 1241 computations (25.4% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4973	2312
1	4973	2312

prune164.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	164	7	171

Error

Counts

171 → 7

Compiler

Compiled 2973 to 1571 computations (47.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
0.2b	(/.f64 (/.f64 t z) 3)
0.2b	(/.f64 y (*.f64 z 3))
4.9b	(/.f64 (/.f64 (/.f64 t z) 3) y)

rewrite521.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

474×	`times-frac_binary64_18498`
239×	`*-un-lft-identity_binary64_18492`
234×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514`
59×	`associate-/l*_binary64_18437`
24×	`div-inv_binary64_18489`
23×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
11×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
9×	`add-log-exp_binary64_18531`
8×	`associate-+l+_binary64_18425`
7×	`associate-/r*_binary64_18436` `cancel-sign-sub-inv_binary64_18458`
4×	`pow1_binary64_18553`
3×	`frac-2neg_binary64_18503` `clear-num_binary64_18491`
2×	`associate-/l/_binary64_18439` `sum-log_binary64_18583` `frac-add_binary64_18500` `distribute-lft-out_binary64_18443`
1×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `diff-log_binary64_18584` `flip3--_binary64_18496` `flip--_binary64_18467` `flip3-+_binary64_18495` `flip-+_binary64_18466` `distribute-lft-out--_binary64_18444` `associate-+l-_binary64_18427` `sub-neg_binary64_18485` `+-commutative_binary64_18422`

Counts

4 → 308

Calls

4 calls:

58.0ms	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
15.0ms	(/.f64 (/.f64 (/.f64 t z) 3) y)
7.0ms	(/.f64 (/.f64 t z) 3)
5.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 8374 to 4418 computations (47.2% saved)

series657.0ms (6.8%)

Error

Counts

4 → 48

Calls

4 calls:

356.0ms	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
139.0ms	(/.f64 (/.f64 (/.f64 t z) 3) y)
65.0ms	(/.f64 (/.f64 t z) 3)
63.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1663 to 1235 computations (25.7% saved)

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5110	7530

prune469.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	354	2	356
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	356	7	363

Error

Counts

363 → 7

Compiler

Compiled 8476 to 4226 computations (50.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3)))
0.2b	(/.f64 y (*.f64 z 3))
0.5b	(/.f64 1/3 y)
4.9b	(*.f64 (/.f64 t z) (/.f64 1/3 y))

rewrite157.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-sqr-sqrt_binary64_18514`
37×	`times-frac_binary64_18498`
32×	`*-un-lft-identity_binary64_18492`
30×	`add-cube-cbrt_binary64_18527`
23×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
13×	`associate-l_binary64_18433` `associate-r_binary64_18432`
7×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `cancel-sign-sub-inv_binary64_18458`
6×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `associate-/l*_binary64_18437`
5×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `div-inv_binary64_18489`
4×	`unswap-sqr_binary64_18460` `associate-/r*_binary64_18436`
2×	`frac-2neg_binary64_18503` `clear-num_binary64_18491`
1×	`pow-prod-down_binary64_18563` `frac-times_binary64_18502` `associate-l/_binary64_18435` `associate-r/_binary64_18434` `*-commutative_binary64_18423` `diff-log_binary64_18584` `flip3--_binary64_18496` `sub-neg_binary64_18485` `flip--_binary64_18467` `difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444`

Counts

4 → 118

Calls

4 calls:

11.0ms	(*.f64 (/.f64 t z) (/.f64 1/3 y))
7.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
5.0ms	(/.f64 y (*.f64 z 3))
3.0ms	(/.f64 1/3 y)

Compiler

Compiled 2592 to 1459 computations (43.7% saved)

series364.0ms (3.8%)

Error

Counts

4 → 36

Calls

4 calls:

133.0ms	(*.f64 (/.f64 t z) (/.f64 1/3 y))
126.0ms	(-.f64 x (/.f64 y (*.f64 z 3)))
61.0ms	(/.f64 y (*.f64 z 3))
16.0ms	(/.f64 1/3 y)

Compiler

Compiled 1409 to 1039 computations (26.3% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4964	1670
1	4964	1670

prune144.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	154	7	161

Error

Counts

161 → 7

Compiler

Compiled 2868 to 1515 computations (47.2% saved)

regimes1.1s (10.9%)

Accuracy

Total 0.5b remaining (99.4%)

Threshold costs 0.5b (99.4%)

Compiler

Compiled 8655 to 7276 computations (15.9% saved)

bsearch3.0ms (0%)

Compiler: Compiled 3 to 6 computations (-100% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	90
1	55	90

end0.0ms (0%)

sample2.4s (24.4%)

Algorithm

1×

intervals

Results

383.0ms	8000×	body	128	valid
155.0ms	3180×	body	128	invalid

Compiler

Compiled 1446 to 1210 computations (16.3% saved)

Details

analyze1.2s (12%)

sample32.0ms (0.3%)

simplify392.0ms (4.1%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite146.0ms (1.5%)

series659.0ms (6.8%)

simplify77.0ms (0.8%)

prune139.0ms (1.4%)

localize9.0ms (0.1%)

rewrite188.0ms (1.9%)

series657.0ms (6.8%)

simplify81.0ms (0.8%)

prune164.0ms (1.7%)

localize11.0ms (0.1%)

rewrite521.0ms (5.4%)

series657.0ms (6.8%)

simplify106.0ms (1.1%)

prune469.0ms (4.9%)

localize11.0ms (0.1%)

rewrite157.0ms (1.6%)

series364.0ms (3.8%)

simplify78.0ms (0.8%)

prune144.0ms (1.5%)

regimes1.1s (10.9%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (24.4%)

Profiling