Details

analyze835.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

6.6b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 y z) x)
0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.5b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
8.0b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite172.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

45×	`*-un-lft-identity_binary64_18492`
25×	`times-frac_binary64_18498`
23×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514`
11×	`distribute-lft-out_binary64_18443`
8×	`add-exp-log_binary64_18530` `add-log-exp_binary64_18531` `add-cbrt-cube_binary64_18528`
7×	`associate-/l_binary64_18437` `associate-/r_binary64_18436`
4×	`pow1_binary64_18553` `div-sub_binary64_18497` `associate-/l/_binary64_18439` `associate-/r/_binary64_18438`
3×	`flip3--_binary64_18496` `flip--_binary64_18467` `flip3-+_binary64_18495` `flip-+_binary64_18466` `cancel-sign-sub-inv_binary64_18458`
2×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `div-inv_binary64_18489` `associate-+r-_binary64_18426`
1×	`sum-log_binary64_18583` `+-commutative_binary64_18422` `diff-log_binary64_18584` `sub-neg_binary64_18485`

Counts

4 → 100

Calls

4 calls:

17.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 2967 to 756 computations (74.5% saved)

series1.4s (10.7%)

Error

0.6b

Counts

4 → 122

Calls

4 calls:

484.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
355.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
294.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
90.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 8400 to 5457 computations (35% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5241	7269

prune240.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	210	12	222
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	12	223

Error

0.5b

Counts

223 → 12

Compiler

Compiled 6588 to 2051 computations (68.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
0.2b	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
0.5b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
8.1b	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

rewrite287.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

110×	`times-frac_binary64_18498`
97×	`*-un-lft-identity_binary64_18492`
67×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514`
22×	`associate-/r*_binary64_18436`
19×	`add-exp-log_binary64_18530`
18×	`distribute-lft-out_binary64_18443`
13×	`add-cbrt-cube_binary64_18528` `div-inv_binary64_18489` `associate-/r/_binary64_18438`
11×	`associate-/l*_binary64_18437`
9×	`div-exp_binary64_18543`
6×	`add-log-exp_binary64_18531` `flip3--_binary64_18496` `flip--_binary64_18467`
5×	`pow1_binary64_18553` `cbrt-undiv_binary64_18526`
4×	`associate-/l/_binary64_18439`
3×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `flip3-+_binary64_18495` `flip-+_binary64_18466`
2×	`1-exp_binary64_18536` `rec-exp_binary64_18542`
1×	`div-sub_binary64_18497` `inv-pow_binary64_18577` `pow-flip_binary64_18566` `sum-log_binary64_18583` `+-commutative_binary64_18422`

Counts

4 → 174

Calls

4 calls:

29.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
21.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
13.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
10.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

Compiler

Compiled 5854 to 1970 computations (66.3% saved)

series1.6s (12.3%)

Error

0.5b

Counts

4 → 131

Calls

4 calls:

493.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
346.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
297.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
278.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

Compiler

Compiled 9561 to 6304 computations (34.1% saved)

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5129	10443

prune515.0ms (4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	301	4	305
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	307	10	317

Error

0.5b

Counts

317 → 10

Compiler

Compiled 9366 to 2814 computations (70% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
0.4b	(/.f64 1 (-.f64 (*.f64 z y) x))
0.5b	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
7.9b	(.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x)))

rewrite259.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

61×	`*-un-lft-identity_binary64_18492`
54×	`add-exp-log_binary64_18530`
43×	`times-frac_binary64_18498`
40×	`add-sqr-sqrt_binary64_18514`
33×	`add-cube-cbrt_binary64_18527`
22×	`add-cbrt-cube_binary64_18528`
21×	`div-exp_binary64_18543`
16×	`prod-exp_binary64_18541` `distribute-lft-out_binary64_18443`
15×	`associate-r_binary64_18432`
12×	`associate-/r/_binary64_18438`
11×	`associate-/l*_binary64_18437`
10×	`pow1_binary64_18553` `1-exp_binary64_18536` `rec-exp_binary64_18542`
9×	`div-inv_binary64_18489`
8×	`associate-/r*_binary64_18436`
7×	`cbrt-undiv_binary64_18526`
6×	`flip3--_binary64_18496` `flip--_binary64_18467`
4×	`add-log-exp_binary64_18531` `cbrt-unprod_binary64_18525` `frac-times_binary64_18502` `associate-*l/_binary64_18435`
3×	`unswap-sqr_binary64_18460` `associate-l_binary64_18433` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `pow-flip_binary64_18566`
2×	`pow-prod-down_binary64_18563` `un-div-inv_binary64_18490` `associate-*r/_binary64_18434` `flip3-+_binary64_18495` `associate-/l/_binary64_18439` `flip-+_binary64_18466` `inv-pow_binary64_18577`
1×	`*-commutative_binary64_18423`

Counts

4 → 164

Calls

4 calls:

14.0ms	(.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x)))
13.0ms	(/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
13.0ms	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 (*.f64 z y) x))

Compiler

Compiled 5280 to 2340 computations (55.7% saved)

series1.3s (10.3%)

Error

0.5b

Counts

4 → 112

Calls

4 calls:

487.0ms	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
311.0ms	(/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
285.0ms	(.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x)))
104.0ms	(/.f64 1 (-.f64 (*.f64 z y) x))

Compiler

Compiled 8561 to 5748 computations (32.9% saved)

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5261	7798

prune293.0ms (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	276	10	286

Error

0.5b

Counts

286 → 10

Compiler

Compiled 8010 to 2725 computations (66% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
8.0b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
8.0b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
8.0b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

rewrite198.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

36×	`times-frac_binary64_18498`
35×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
15×	`cbrt-prod_binary64_18523`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`associate-/l_binary64_18437` `associate-/r_binary64_18436`
8×	`associate-/r/_binary64_18438`
7×	`flip3--_binary64_18496` `flip--_binary64_18467`
6×	`associate-/l/_binary64_18439`
4×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `div-inv_binary64_18489`
3×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `frac-2neg_binary64_18503` `div-sub_binary64_18497` `clear-num_binary64_18491`
1×	`pow1/3_binary64_18574` `cbrt-div_binary64_18524`

Counts

4 → 120

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
7.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))

Compiler

Compiled 6751 to 1007 computations (85.1% saved)

series1.8s (14.2%)

Error

0.5b

Counts

4 → 135

Calls

4 calls:

523.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
356.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
352.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
352.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 19484 to 8953 computations (54% saved)

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4971	7894
1	4971	7894

prune312.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	255	10	265

Error

0.5b

Counts

265 → 10

Compiler

Compiled 14131 to 2450 computations (82.7% saved)

regimes1.0s (8%)

Accuracy

Total 2.6b remaining (76.9%)

Threshold costs 0b (0%)

Compiler

Compiled 10350 to 6437 computations (37.8% saved)

bsearch5.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	89
1	55	89

end0.0ms (0%)

sample2.0s (15.6%)

Algorithm

1×

intervals

Results

383.0ms	8000×	body	128	valid
15.0ms	343×	body	128	invalid

Compiler

Compiled 2117 to 1313 computations (38% saved)

Details

analyze835.0ms (6.5%)

sample24.0ms (0.2%)

simplify62.0ms (0.5%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite172.0ms (1.3%)

series1.4s (10.7%)

simplify94.0ms (0.7%)

prune240.0ms (1.9%)

localize12.0ms (0.1%)

rewrite287.0ms (2.2%)

series1.6s (12.3%)

simplify120.0ms (0.9%)

prune515.0ms (4%)

localize13.0ms (0.1%)

rewrite259.0ms (2%)

series1.3s (10.3%)

simplify121.0ms (0.9%)

prune293.0ms (2.3%)

localize21.0ms (0.2%)

rewrite198.0ms (1.5%)

series1.8s (14.2%)

simplify137.0ms (1.1%)

prune312.0ms (2.4%)

regimes1.0s (8%)

bsearch5.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (15.6%)

Profiling