Details

analyze800.0ms (1.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	76
1	4978	76
0	3	3
1	3	3

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.5s (2.5%)

Algorithm

1×

intervals

Results

14.0ms	176×	body	128	invalid
10.0ms	256×	body	128	valid

Compiler

Compiled 6943 to 6506 computations (6.3% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4898	19
1	4898	19

prune5.0ms (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

11.9b

Counts

2 → 2

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
0.6b	(-.f64 (.f64 z z) (.f64 x x))
11.6b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite107.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_16468`
15×	`*-un-lft-identity_binary64_16446`
13×	`add-cube-cbrt_binary64_16481` `times-frac_binary64_16452`
7×	`add-log-exp_binary64_16485` `difference-of-squares_binary64_16415`
5×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
4×	`associate-/l*_binary64_16391` `cancel-sign-sub-inv_binary64_16412`
3×	`pow1_binary64_16507` `flip3--_binary64_16450` `flip--_binary64_16421` `associate-/r*_binary64_16390`
2×	`div-sub_binary64_16451` `associate-/l/_binary64_16393` `diff-log_binary64_16538` `sub-neg_binary64_16439`
1×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `frac-2neg_binary64_16457` `clear-num_binary64_16445` `div-inv_binary64_16443` `distribute-lft-out--_binary64_16398` `associate--l-_binary64_16384`

Counts

3 → 65

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
6.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1473 to 394 computations (73.3% saved)

series862.0ms (1.4%)

Error

6.5b

Counts

3 → 45

Calls

3 calls:

365.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
304.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
153.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1418 to 1185 computations (16.4% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5443	1737

prune105.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	107	5	112

Error

Counts

112 → 5

Compiler

Compiled 1906 to 526 computations (72.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
0.0b	(/.f64 y (-.f64 z x))
0.2b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite271.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

177×	`times-frac_binary64_16452`
165×	`*-un-lft-identity_binary64_16446`
128×	`add-sqr-sqrt_binary64_16468`
81×	`add-cube-cbrt_binary64_16481`
26×	`associate-/r*_binary64_16390`
22×	`difference-of-squares_binary64_16415` `distribute-lft-out_binary64_16397`
20×	`distribute-lft-out--_binary64_16398`
13×	`associate-/r/_binary64_16392`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
7×	`div-inv_binary64_16443` `flip3--_binary64_16450` `flip--_binary64_16421` `associate-/l*_binary64_16391`
5×	`add-log-exp_binary64_16485`
4×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480`
3×	`pow1_binary64_16507` `cancel-sign-sub-inv_binary64_16412`
2×	`frac-2neg_binary64_16457` `clear-num_binary64_16445` `associate-/l/_binary64_16393`
1×	`flip3-+_binary64_16449` `flip-+_binary64_16420` `diff-log_binary64_16538` `sub-neg_binary64_16439`

Counts

3 → 181

Calls

3 calls:

37.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
12.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
6.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 4471 to 1254 computations (72% saved)

series878.0ms (1.5%)

Error

Counts

3 → 48

Calls

3 calls:

375.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
314.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
147.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 1736 to 1306 computations (24.8% saved)

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4992	4814
1	4992	4814

prune210.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	228	1	229
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	231	3	234

Error

Counts

234 → 3

Compiler

Compiled 4726 to 1153 computations (75.6% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x))) y)
0.0b	(/.f64 (+.f64 x z) y)
0.0b	(/.f64 1 (-.f64 z x))
0.3b	(/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x)))

rewrite1.3s (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

895×	`times-frac_binary64_16452`
607×	`*-un-lft-identity_binary64_16446`
488×	`add-sqr-sqrt_binary64_16468`
353×	`add-cube-cbrt_binary64_16481`
70×	`distribute-lft-out_binary64_16397`
62×	`difference-of-squares_binary64_16415`
56×	`distribute-lft-out--_binary64_16398`
42×	`div-inv_binary64_16443`
37×	`associate-/r/_binary64_16392`
32×	`add-exp-log_binary64_16484`
29×	`associate-/r*_binary64_16390`
23×	`associate-/l*_binary64_16391`
20×	`add-cbrt-cube_binary64_16482`
19×	`div-exp_binary64_16497` `flip3--_binary64_16450` `flip--_binary64_16421`
10×	`cbrt-undiv_binary64_16480`
6×	`add-log-exp_binary64_16485`
5×	`pow1_binary64_16507`
3×	`1-exp_binary64_16490` `rec-exp_binary64_16496` `frac-2neg_binary64_16457` `clear-num_binary64_16445` `associate-/l/_binary64_16393` `cancel-sign-sub-inv_binary64_16412`
1×	`inv-pow_binary64_16531` `pow-flip_binary64_16520` `flip3-+_binary64_16449` `flip-+_binary64_16420` `diff-log_binary64_16538` `sub-neg_binary64_16439`

Counts

4 → 493

Calls

4 calls:

371.0ms	(-.f64 (/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x))) y)
22.0ms	(/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x)))
6.0ms	(/.f64 1 (-.f64 z x))
5.0ms	(/.f64 (+.f64 x z) y)

Compiler

Compiled 15033 to 6137 computations (59.2% saved)

series945.0ms (1.6%)

Error

Counts

4 → 60

Calls

4 calls:

359.0ms	(-.f64 (/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x))) y)
321.0ms	(/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x)))
152.0ms	(/.f64 (+.f64 x z) y)
66.0ms	(/.f64 1 (-.f64 z x))

Compiler

Compiled 2216 to 1654 computations (25.4% saved)

simplify179.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5029	15634

prune645.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	553	3	556

Error

Counts

556 → 3

Compiler

Compiled 13833 to 4080 computations (70.5% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y)) y)
0.6b	(-.f64 (.f64 z z) (.f64 x x))
11.7b	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y))

rewrite108.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_16468`
13×	`-un-lft-identity_binary64_16446` `associate-r*_binary64_16386`
12×	`add-exp-log_binary64_16484` `add-cube-cbrt_binary64_16481`
11×	`times-frac_binary64_16452`
8×	`add-cbrt-cube_binary64_16482`
7×	`add-log-exp_binary64_16485`
5×	`pow1_binary64_16507`
4×	`prod-exp_binary64_16495` `flip3--_binary64_16450` `flip--_binary64_16421` `associate-l_binary64_16387` `cancel-sign-sub-inv_binary64_16412`
3×	`unswap-sqr_binary64_16414`
2×	`div-exp_binary64_16497` `cbrt-unprod_binary64_16479` `frac-times_binary64_16456` `associate-*l/_binary64_16389` `difference-of-squares_binary64_16415` `diff-log_binary64_16538` `sub-neg_binary64_16439`
1×	`pow-prod-down_binary64_16517` `1-exp_binary64_16490` `rec-exp_binary64_16496` `cbrt-undiv_binary64_16480` `un-div-inv_binary64_16444` `associate-r/_binary64_16388` `div-inv_binary64_16443` `-commutative_binary64_16377`

Counts

3 → 68

Calls

3 calls:

11.0ms	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y))
10.0ms	(-.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y)) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1705 to 694 computations (59.3% saved)

series849.0ms (1.4%)

Error

Counts

3 → 45

Calls

3 calls:

366.0ms	(-.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y)) y)
301.0ms	(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 1 y))
144.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1478 to 1245 computations (15.8% saved)

simplify63.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5022	1652

prune97.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Error

Counts

116 → 3

Compiler

Compiled 1922 to 652 computations (66.1% saved)

regimes502.0ms (0.8%)

Accuracy

Total 0.1b remaining (81.8%)

Threshold costs 0.1b (81.8%)

Compiler

Compiled 5128 to 3424 computations (33.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19

end0.0ms (0%)

sample50.7s (84%)

Algorithm

1×

intervals

Results

412.0ms	5899×	body	128	invalid
330.0ms	8000×	body	128	valid

Compiler

Compiled 223150 to 209003 computations (6.3% saved)

Details

analyze800.0ms (1.3%)

sample1.5s (2.5%)

simplify77.0ms (0.1%)

prune5.0ms (0%)

localize8.0ms (0%)

rewrite107.0ms (0.2%)

series862.0ms (1.4%)

simplify70.0ms (0.1%)

prune105.0ms (0.2%)

localize9.0ms (0%)

rewrite271.0ms (0.4%)

series878.0ms (1.5%)

simplify92.0ms (0.2%)

prune210.0ms (0.3%)

localize10.0ms (0%)

rewrite1.3s (2.1%)

series945.0ms (1.6%)

simplify179.0ms (0.3%)

prune645.0ms (1.1%)

localize9.0ms (0%)

rewrite108.0ms (0.2%)

series849.0ms (1.4%)

simplify63.0ms (0.1%)

prune97.0ms (0.2%)

regimes502.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample50.7s (84%)

Profiling