Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	634	7
1	634	7

prune9.0ms (0.1%)

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: 8.4b

Counts

2 → 1

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1.0 x1))
7.6b	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64`
5×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 51

Calls

2 calls:

11.0ms	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1.0 x1))

series15.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 (/.f64 x0 (-.f64 1.0 x1)) x0)
7.0ms	(/.f64 x0 (-.f64 1.0 x1))

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5110	586

prune65.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 6.8b

Counts

58 → 2

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
0.5b	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
1.0b	(/.f64 x0 (-.f64 1.0 x1))
6.1b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)

rewrite63.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64`
8×	`add-log-exp_binary64`
6×	`difference-of-squares_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 90

Calls

4 calls:

26.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
18.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)
9.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
6.0ms	(/.f64 x0 (-.f64 1.0 x1))

series65.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1.0 x1))))
17.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1.0 x1) (-.f64 1.0 x1))) x0)
8.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1.0 x1)))
7.0ms	(/.f64 x0 (-.f64 1.0 x1))

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5104	1483

prune138.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Merged error: 5.6b

Counts

104 → 2

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1.0 x1))
1.3b	(pow.f64 (-.f64 1.0 x1) 4)
1.3b	(pow.f64 (-.f64 1.0 x1) 6)
4.4b	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) (pow.f64 x0 3))

rewrite93.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`add-sqr-sqrt_binary64`
63×	`times-frac_binary64`
58×	`difference-of-squares_binary64`
51×	`unpow-prod-down_binary64`
43×	`sqr-pow_binary64`
32×	`*-un-lft-identity_binary64`
25×	`cube-prod_binary64`
18×	`add-cube-cbrt_binary64`
8×	`add-exp-log_binary64`
7×	`distribute-lft-out--_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64`
3×	`associate-/l*_binary64`
2×	`pow-to-exp_binary64` `flip3--_binary64` `pow-pow_binary64` `associate-/r/_binary64` `flip--_binary64` `pow-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 139

Calls

4 calls:

71.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) (pow.f64 x0 3))
6.0ms	(/.f64 x0 (-.f64 1.0 x1))
5.0ms	(pow.f64 (-.f64 1.0 x1) 6)
5.0ms	(pow.f64 (-.f64 1.0 x1) 4)

series34.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) (pow.f64 x0 3))
7.0ms	(/.f64 x0 (-.f64 1.0 x1))
3.0ms	(pow.f64 (-.f64 1.0 x1) 6)
3.0ms	(pow.f64 (-.f64 1.0 x1) 4)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5152	2499

prune415.0ms (6.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	151	2	153

Merged error: 4.0b

Counts

153 → 2

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.3b	(pow.f64 (-.f64 1.0 x1) 4)
1.3b	(pow.f64 (-.f64 1.0 x1) 6)
1.9b	(pow.f64 (-.f64 1.0 x1) 12)
4.3b	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))

rewrite308.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Rules

582×	`add-sqr-sqrt_binary64`
457×	`unpow-prod-down_binary64`
362×	`cube-prod_binary64`
283×	`difference-of-squares_binary64`
240×	`times-frac_binary64`
237×	`sqr-pow_binary64`
26×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow-unpow_binary64`
8×	`distribute-lft-out--_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `pow-pow_binary64` `pow-exp_binary64`
1×	`difference-cubes_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 354

Calls

4 calls:

260.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
7.0ms	(pow.f64 (-.f64 1.0 x1) 4)
6.0ms	(pow.f64 (-.f64 1.0 x1) 6)
5.0ms	(pow.f64 (-.f64 1.0 x1) 12)

series48.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
10.0ms	(pow.f64 (-.f64 1.0 x1) 4)
4.0ms	(pow.f64 (-.f64 1.0 x1) 12)
3.0ms	(pow.f64 (-.f64 1.0 x1) 6)

simplify110.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

366 → 366

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4944	11414
1	4944	11414

prune3.8s (63.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	365	1	366
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	366	2	368

Merged error: 3.9b

Counts

368 → 2

regimes64.0ms (1.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

bsearch11.0ms (0.2%)

Steps

Iters	Range		Point
7	0.000209	0.0186	0.004257901367187499

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	144
1	96	144

end0.0ms (0%)

sample459.0ms (7.6%)

Algorithm

1×

intervals

Results

208.0ms	8000×	pre	80	true
166.0ms	8000×	body	80	valid

Details

analyze3.0ms (0%)

sample17.0ms (0.3%)

simplify46.0ms (0.8%)

prune9.0ms (0.1%)

localize5.0ms (0.1%)

rewrite18.0ms (0.3%)

series15.0ms (0.3%)

simplify48.0ms (0.8%)

prune65.0ms (1.1%)

localize10.0ms (0.2%)

rewrite63.0ms (1%)

series65.0ms (1.1%)

simplify49.0ms (0.8%)

prune138.0ms (2.3%)

localize22.0ms (0.4%)

rewrite93.0ms (1.5%)

series34.0ms (0.6%)

simplify61.0ms (1%)

prune415.0ms (6.9%)

localize36.0ms (0.6%)

rewrite308.0ms (5.1%)

series48.0ms (0.8%)

simplify110.0ms (1.8%)

prune3.8s (63.2%)

regimes64.0ms (1.1%)

bsearch11.0ms (0.2%)

simplify3.0ms (0%)

end0.0ms (0%)

sample459.0ms (7.6%)

Profiling