Details

analyze405.0ms (15.9%)

Algorithm

1×

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
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	125	7
1	125	7

prune7.0ms (0.3%)

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: 2.9b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
2.9b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `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 → 40

Calls

2 calls:

5.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms	(-.f64 y (*.f64 z t))

series24.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
8.0ms	(-.f64 y (*.f64 z t))

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4953	449
1	4953	449

prune79.0ms (3.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	37	9	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	10	47

Merged error: 2.8b

Counts

47 → 10

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.1b	(/.f64 1 (-.f64 y (*.f64 z t)))
3.0b	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `times-frac_binary64`
19×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`
15×	`associate-r_binary64`
10×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 82

Calls

3 calls:

10.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
5.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
3.0ms	(-.f64 y (*.f64 z t))

series42.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
16.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
9.0ms	(-.f64 y (*.f64 z t))

simplify56.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4945	801
1	4945	801

prune109.0ms (4.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 2.8b

Counts

101 → 9

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 x (.f64 (cbrt.f64 (/.f64 1 (-.f64 y (.f64 z t)))) (cbrt.f64 (/.f64 1 (-.f64 y (.f64 z t))))))
8.2b	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))
8.2b	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))
8.2b	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
27×	`add-sqr-sqrt_binary64` `times-frac_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64`
7×	`cbrt-div_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r/_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64` `div-inv_binary64` `flip--_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

14.0ms	(.f64 x (.f64 (cbrt.f64 (/.f64 1 (-.f64 y (.f64 z t)))) (cbrt.f64 (/.f64 1 (-.f64 y (.f64 z t))))))
4.0ms	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))
4.0ms	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))
4.0ms	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))

series183.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(.f64 x (.f64 (cbrt.f64 (/.f64 1 (-.f64 y (.f64 z t)))) (cbrt.f64 (/.f64 1 (-.f64 y (.f64 z t))))))
43.0ms	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))
41.0ms	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))
40.0ms	(cbrt.f64 (/.f64 1 (-.f64 y (*.f64 z t))))

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4916	1519
1	4916	1519

prune158.0ms (6.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	106	9	115

Merged error: 2.8b

Counts

115 → 9

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
1.2b	(/.f64 (-.f64 y (*.f64 z t)) (cbrt.f64 x))
2.1b	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (.f64 z t)) (cbrt.f64 x)))

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
36×	`cbrt-prod_binary64`
28×	`associate-/r*_binary64`
18×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `associate-/r/_binary64` `div-sub_binary64` `flip--_binary64`

Counts

4 → 128

Calls

4 calls:

11.0ms	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (.f64 z t)) (cbrt.f64 x)))
6.0ms	(/.f64 (-.f64 y (*.f64 z t)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series105.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(/.f64 (-.f64 y (*.f64 z t)) (cbrt.f64 x))
21.0ms	(cbrt.f64 x)
21.0ms	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (.f64 z t)) (cbrt.f64 x)))
19.0ms	(cbrt.f64 x)

simplify49.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5199	1729

prune127.0ms (5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	3	5
Picked	0	1	1
Done	0	3	3
Total	140	9	149

Merged error: 2.8b

Counts

149 → 9

regimes507.0ms (19.9%)

Accuracy

Total 0.1b remaining (2.1%)

Threshold costs 0.1b (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms (0%)

sample437.0ms (17.1%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	80	valid
9.0ms	340×	body	80	invalid

Details

analyze405.0ms (15.9%)

sample18.0ms (0.7%)

simplify9.0ms (0.4%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

rewrite9.0ms (0.3%)

series24.0ms (0.9%)

simplify51.0ms (2%)

prune79.0ms (3.1%)

localize7.0ms (0.3%)

rewrite21.0ms (0.8%)

series42.0ms (1.6%)

simplify56.0ms (2.2%)

prune109.0ms (4.3%)

localize11.0ms (0.4%)

rewrite30.0ms (1.2%)

series183.0ms (7.2%)

simplify61.0ms (2.4%)

prune158.0ms (6.2%)

localize9.0ms (0.4%)

rewrite27.0ms (1.1%)

series105.0ms (4.1%)

simplify49.0ms (1.9%)

prune127.0ms (5%)

regimes507.0ms (19.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample437.0ms (17.1%)

Profiling