Details

analyze725.0ms (17.4%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	246×	body	80	valid
2.0ms	50×	body	80	invalid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune12.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.0b	(* x (+ (* (+ y z) 2) t))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

10.0ms	(* x (+ (* (+ y z) 2) t))
10.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))

series25.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
11.0ms	(* x (+ (* (+ y z) 2) t))

simplify37.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5376	519

prune283.0ms (6.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (* (+ y z) 2) t))) (cbrt (* x (+ (* (+ y z) 2) t))))
2.1b	(cbrt (* x (+ (* (+ y z) 2) t)))
2.1b	(cbrt (* x (+ (* (+ y z) 2) t)))
2.1b	(cbrt (* x (+ (* (+ y z) 2) t)))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* x (+ (* (+ y z) 2) t))) (cbrt (* x (+ (* (+ y z) 2) t))))
8.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))
7.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))
7.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))

series162.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (* x (+ (* (+ y z) 2) t))) (cbrt (* x (+ (* (+ y z) 2) t))))
38.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))
37.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))
36.0ms	(cbrt (* x (+ (* (+ y z) 2) t)))

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5126	1207

prune225.0ms (5.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

rewrite54.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

23.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series319.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
68.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
67.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune336.0ms (8.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	4	4
Picked	1	0	1
Done	1	1	2
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

10.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series264.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
66.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
66.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
65.0ms	(cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4959	1787
1	4959	1787

prune376.0ms (9.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 0.0b

Counts

80 → 8

regimes335.0ms (8%)

Accuracy

Total 0.0b remaining (49.4%)

Threshold costs 0.0b (49.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms (0%)

sample664.0ms (16%)

Algorithm

1×

intervals

Results

300.0ms	7698×	body	80	valid
72.0ms	1886×	body	80	invalid
18.0ms	103×	body	1280	valid
13.0ms	95×	body	640	valid
7.0ms	70×	body	320	valid
2.0ms	34×	body	160	valid

Details

analyze725.0ms (17.4%)

sample24.0ms (0.6%)

simplify8.0ms (0.2%)

prune12.0ms (0.3%)

localize9.0ms (0.2%)

rewrite20.0ms (0.5%)

series25.0ms (0.6%)

simplify37.0ms (0.9%)

prune283.0ms (6.8%)

localize13.0ms (0.3%)

rewrite35.0ms (0.8%)

series162.0ms (3.9%)

simplify46.0ms (1.1%)

prune225.0ms (5.4%)

localize13.0ms (0.3%)

rewrite54.0ms (1.3%)

series319.0ms (7.7%)

simplify61.0ms (1.5%)

prune336.0ms (8.1%)

localize21.0ms (0.5%)

rewrite39.0ms (0.9%)

series264.0ms (6.4%)

simplify50.0ms (1.2%)

prune376.0ms (9.1%)

regimes335.0ms (8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample664.0ms (16%)

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