Details

analyze773.0ms

Algorithm

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

sample26.0ms

Algorithm

intervals

Results

10.0ms	250×	body	80	valid
3.0ms	66×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

7.0ms	(+ (+ y z) z)
17.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
17.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
10.0ms	(+ (+ (+ y z) z) y)

series289.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (+ y z) z)
267.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
12.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ (+ y z) z) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4821	776
1	4821	776

prune114.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`add-cube-cbrt`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`frac-times` `associate-l` `sum-log` `distribute-lft-out`
3×	`associate-+l+` `distribute-rgt-out`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

13.0ms	(+ (+ (* (+ y z) (+ x x)) (* x t)) (* y 5.0))
11.0ms	(* (+ y z) (+ x x))
12.0ms	(+ (* (+ y z) (+ x x)) (* x t))

series37.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (+ (* (+ y z) (+ x x)) (* x t)) (* y 5.0))
8.0ms	(* (+ y z) (+ x x))
13.0ms	(+ (* (+ y z) (+ x x)) (* x t))

simplify73.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4877	778
1	4877	778

prune91.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize15.0ms

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)))

rewrite64.0ms

Algorithm

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:

28.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
11.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
11.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
11.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
73.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
74.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
70.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify82.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune296.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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)))
1.0b	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

11.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
10.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
10.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
13.0ms	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

series386.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
72.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
71.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
174.0ms	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 5)

simplify75.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4966	1749
1	4966	1749

prune284.0ms

Filtered

67 candidates to 75 candidates (-11.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

regimes411.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	15
1	19	15

end0.0ms

sample698.0ms

Algorithm

intervals

Results

312.0ms	7677×	body	80	valid
77.0ms	1868×	body	80	invalid
20.0ms	93×	body	1280	valid
17.0ms	119×	body	640	valid
8.0ms	75×	body	320	valid
3.0ms	36×	body	160	valid

Details

analyze773.0ms

sample26.0ms

simplify10.0ms

prune15.0ms

localize11.0ms

rewrite54.0ms

series289.0ms

simplify50.0ms

prune114.0ms

localize12.0ms

rewrite38.0ms

series37.0ms

simplify73.0ms

prune91.0ms

localize15.0ms

rewrite64.0ms

series341.0ms

simplify82.0ms

prune296.0ms

localize19.0ms

rewrite46.0ms

series386.0ms

simplify75.0ms

prune284.0ms

regimes411.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample698.0ms

Profiling