Details

analyze1.5s (9.2%)

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)

sample39.0ms (0.2%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune5.0ms (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

8.4b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(-.f64 (*.f64 y z) x)
0.0b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.3b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite83.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_17810`
25×	`times-frac_binary64_17816`
24×	`add-sqr-sqrt_binary64_17832` `add-cube-cbrt_binary64_17845`
10×	`distribute-lft-out_binary64_17761`
8×	`add-exp-log_binary64_17848` `add-log-exp_binary64_17849` `add-cbrt-cube_binary64_17846`
7×	`associate-/r_binary64_17754` `associate-/l_binary64_17755`
6×	`cancel-sign-sub-inv_binary64_17776`
4×	`associate-/r/_binary64_17756` `flip3--_binary64_17814` `flip--_binary64_17785` `associate-/l/_binary64_17757` `pow1_binary64_17871`
3×	`div-sub_binary64_17815`
2×	`clear-num_binary64_17809` `div-inv_binary64_17807` `flip-+_binary64_17784` `div-exp_binary64_17861` `flip3-+_binary64_17813` `cbrt-undiv_binary64_17844` `diff-log_binary64_17902` `frac-2neg_binary64_17821` `sub-neg_binary64_17803`
1×	`associate-+r-_binary64_17744`

Counts

4 → 101

Calls

4 calls:

29.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
17.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
7.0ms	(-.f64 (*.f64 t z) x)
7.0ms	(-.f64 (*.f64 y z) x)

series1.7s (10.3%)

Counts

4 → 91

Calls

4 calls:

897.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
485.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
164.0ms	(-.f64 (*.f64 t z) x)
150.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 3671 to 2745 computations (25.2% saved)

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5201	4220

prune352.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	184	8	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	8	193

Error

0.0b

Counts

193 → 8

Compiler

Compiled 4601 to 1329 computations (71.1% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z t) x)
0.0b	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
0.9b	(/.f64 1 (-.f64 (*.f64 z t) x))
11.5b	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))

rewrite79.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_17810`
37×	`add-sqr-sqrt_binary64_17832`
32×	`times-frac_binary64_17816`
30×	`add-cube-cbrt_binary64_17845`
19×	`add-exp-log_binary64_17848`
15×	`associate-r_binary64_17750`
13×	`add-cbrt-cube_binary64_17846`
7×	`associate-/r*_binary64_17754` `pow1_binary64_17871`
6×	`associate-/r/_binary64_17756` `associate-/l*_binary64_17755` `add-log-exp_binary64_17849`
5×	`flip3--_binary64_17814` `flip--_binary64_17785` `div-exp_binary64_17861`
4×	`prod-exp_binary64_17859` `distribute-lft-out_binary64_17761`
3×	`cancel-sign-sub-inv_binary64_17776` `unswap-sqr_binary64_17778` `div-inv_binary64_17807` `cbrt-undiv_binary64_17844` `associate-l_binary64_17751`
2×	`cbrt-unprod_binary64_17843` `clear-num_binary64_17809` `flip-+_binary64_17784` `associate-*l/_binary64_17753` `flip3-+_binary64_17813` `1-exp_binary64_17854` `frac-times_binary64_17820` `rec-exp_binary64_17860` `associate-/l/_binary64_17757` `frac-2neg_binary64_17821`
1×	`pow-prod-down_binary64_17881` `-commutative_binary64_17741` `inv-pow_binary64_17895` `un-div-inv_binary64_17808` `associate-r/_binary64_17752` `diff-log_binary64_17902` `pow-flip_binary64_17884` `sub-neg_binary64_17803`

Counts

4 → 124

Calls

4 calls:

26.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))
13.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
11.0ms	(/.f64 1 (-.f64 (*.f64 z t) x))
8.0ms	(-.f64 (*.f64 z t) x)

series1.6s (9.9%)

Counts

4 → 86

Calls

4 calls:

863.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
491.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))
152.0ms	(-.f64 (*.f64 z t) x)
128.0ms	(/.f64 1 (-.f64 (*.f64 z t) x))

Compiler

Compiled 3804 to 2868 computations (24.6% saved)

simplify212.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4976	4488
1	4976	4488

prune326.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	210	8	218

Error

0.0b

Counts

218 → 8

Compiler

Compiled 5241 to 1779 computations (66.1% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.7b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 y z) x)) (cbrt.f64 (-.f64 (.f64 y z) x))) (/.f64 (cbrt.f64 (-.f64 (.f64 y z) x)) (-.f64 (.f64 z t) x)))
7.0b	(cbrt.f64 (-.f64 (*.f64 y z) x))
7.0b	(cbrt.f64 (-.f64 (*.f64 y z) x))
7.0b	(cbrt.f64 (-.f64 (*.f64 y z) x))

rewrite95.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-div_binary64_17842`
25×	`add-sqr-sqrt_binary64_17832`
24×	`associate-r_binary64_17750`
20×	`*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845` `times-frac_binary64_17816`
19×	`cbrt-prod_binary64_17841`
16×	`flip3--_binary64_17814` `flip--_binary64_17785` `add-exp-log_binary64_17848` `frac-times_binary64_17820`
12×	`associate-*l/_binary64_17753`
10×	`add-cbrt-cube_binary64_17846`
9×	`pow1_binary64_17871`
6×	`cbrt-unprod_binary64_17843` `prod-exp_binary64_17859`
5×	`associate-*r/_binary64_17752`
4×	`add-log-exp_binary64_17849`
3×	`unswap-sqr_binary64_17778` `pow-prod-down_binary64_17881` `pow1/3_binary64_17892`
2×	`associate-/r/_binary64_17756` `div-exp_binary64_17861` `cbrt-undiv_binary64_17844`
1×	`div-inv_binary64_17807` `-commutative_binary64_17741` `associate-l*_binary64_17751`

Counts

4 → 102

Calls

4 calls:

47.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 y z) x)) (cbrt.f64 (-.f64 (.f64 y z) x))) (/.f64 (cbrt.f64 (-.f64 (.f64 y z) x)) (-.f64 (.f64 z t) x)))
7.0ms	(cbrt.f64 (-.f64 (*.f64 y z) x))
7.0ms	(cbrt.f64 (-.f64 (*.f64 y z) x))
7.0ms	(cbrt.f64 (-.f64 (*.f64 y z) x))

series1.5s (9.4%)

Counts

4 → 66

Calls

4 calls:

627.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 y z) x)) (cbrt.f64 (-.f64 (.f64 y z) x))) (/.f64 (cbrt.f64 (-.f64 (.f64 y z) x)) (-.f64 (.f64 z t) x)))
307.0ms	(cbrt.f64 (-.f64 (*.f64 y z) x))
304.0ms	(cbrt.f64 (-.f64 (*.f64 y z) x))
302.0ms	(cbrt.f64 (-.f64 (*.f64 y z) x))

Compiler

Compiled 4610 to 3275 computations (29% saved)

simplify166.0ms (1%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4959	4524
1	4959	4524

prune327.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	168	8	176

Error

0.0b

Counts

176 → 8

Compiler

Compiled 6366 to 1630 computations (74.4% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z t) x)
0.1b	(.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))) (-.f64 (.f64 x x) 1)) (-.f64 x 1))
12.3b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
12.6b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))) (-.f64 (*.f64 x x) 1))

rewrite137.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64_17810`
58×	`times-frac_binary64_17816`
57×	`add-sqr-sqrt_binary64_17832`
39×	`add-cube-cbrt_binary64_17845`
30×	`associate-l_binary64_17751`
20×	`difference-of-squares_binary64_17779`
13×	`add-exp-log_binary64_17848` `distribute-lft-out_binary64_17761` `add-cbrt-cube_binary64_17846`
10×	`difference-of-sqr-1_binary64_17780`
9×	`cancel-sign-sub-inv_binary64_17776` `associate-/r*_binary64_17754`
7×	`flip3--_binary64_17814` `associate-/l_binary64_17755` `associate-r*_binary64_17750` `flip--_binary64_17785`
6×	`associate-/r/_binary64_17756` `add-log-exp_binary64_17849` `pow1_binary64_17871`
4×	`distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759` `associate-/l/_binary64_17757`
3×	`div-inv_binary64_17807` `div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `div-sub_binary64_17815` `sub-neg_binary64_17803`
2×	`cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `prod-exp_binary64_17859` `clear-num_binary64_17809` `associate-*r/_binary64_17752` `frac-times_binary64_17820` `frac-2neg_binary64_17821`
1×	`pow-prod-down_binary64_17881` `-commutative_binary64_17741` `flip-+_binary64_17784` `associate-l/_binary64_17753` `distribute-lft-out--_binary64_17762` `flip3-+_binary64_17813` `diff-log_binary64_17902` `associate-+r-_binary64_17744`

Counts

4 → 162

Calls

4 calls:

49.0ms	(.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))) (-.f64 (.f64 x x) 1)) (-.f64 x 1))
31.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))) (-.f64 (*.f64 x x) 1))
16.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
7.0ms	(-.f64 (*.f64 z t) x)

series2.9s (17.5%)

Counts

4 → 102

Calls

4 calls:

1.4s	(.f64 (/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))) (-.f64 (.f64 x x) 1)) (-.f64 x 1))
826.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))) (-.f64 (*.f64 x x) 1))
508.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 z t) x))
177.0ms	(-.f64 (*.f64 z t) x)

Compiler

Compiled 6527 to 4875 computations (25.3% saved)

simplify218.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4974	9191
1	4974	9191

prune505.0ms (3.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	264	8	272

Error

0.0b

Counts

272 → 8

Compiler

Compiled 8909 to 2875 computations (67.7% saved)

regimes1.4s (8.4%)

Accuracy

Total 1.6b remaining (97.9%)

Threshold costs 0b (0%)

Compiler

Compiled 5609 to 3672 computations (34.5% saved)

bsearch6.0ms (0%)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	108	258
1	108	258

end0.0ms (0%)

sample2.9s (17.5%)

Algorithm

1×

intervals

Results

730.0ms	8000×	body	128	valid
28.0ms	310×	body	128	invalid

Compiler

Compiled 1315 to 824 computations (37.3% saved)

Details

analyze1.5s (9.2%)

sample39.0ms (0.2%)

simplify111.0ms (0.7%)

prune5.0ms (0%)

localize22.0ms (0.1%)

rewrite83.0ms (0.5%)

series1.7s (10.3%)

simplify153.0ms (0.9%)

prune352.0ms (2.1%)

localize24.0ms (0.1%)

rewrite79.0ms (0.5%)

series1.6s (9.9%)

simplify212.0ms (1.3%)

prune326.0ms (2%)

localize31.0ms (0.2%)

rewrite95.0ms (0.6%)

series1.5s (9.4%)

simplify166.0ms (1%)

prune327.0ms (2%)

localize31.0ms (0.2%)

rewrite137.0ms (0.8%)

series2.9s (17.5%)

simplify218.0ms (1.3%)

prune505.0ms (3.1%)

regimes1.4s (8.4%)

bsearch6.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.9s (17.5%)

Profiling