Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample49.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	188×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a b) (* c i))
0.0b	(+ (* z t) (+ (* a b) (* c i)))
0.0b	(+ (* x y) (+ (* z t) (+ (* a b) (* c i))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+r+`

Counts

3 → 38

Calls

3 calls:

4.0ms	(+ (* a b) (* c i))
6.0ms	(+ (* z t) (+ (* a b) (* c i)))
9.0ms	(+ (* x y) (+ (* z t) (+ (* a b) (* c i))))

series138.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* a b) (* c i))
18.0ms	(+ (* z t) (+ (* a b) (* c i)))
111.0ms	(+ (* x y) (+ (* z t) (+ (* a b) (* c i))))

simplify30.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5063	677

prune69.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* z t) (+ (* a b) (* c i)))) (cbrt (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(cbrt (+ (* z t) (+ (* a b) (* c i))))
0.5b	(cbrt (+ (* z t) (+ (* a b) (* c i))))
0.5b	(cbrt (+ (* z t) (+ (* a b) (* c i))))

rewrite32.0ms

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:

14.0ms	(* (cbrt (+ (* z t) (+ (* a b) (* c i)))) (cbrt (+ (* z t) (+ (* a b) (* c i)))))
5.0ms	(cbrt (+ (* z t) (+ (* a b) (* c i))))
5.0ms	(cbrt (+ (* z t) (+ (* a b) (* c i))))
5.0ms	(cbrt (+ (* z t) (+ (* a b) (* c i))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (cbrt (+ (* z t) (+ (* a b) (* c i)))) (cbrt (+ (* z t) (+ (* a b) (* c i)))))
51.0ms	(cbrt (+ (* z t) (+ (* a b) (* c i))))
51.0ms	(cbrt (+ (* z t) (+ (* a b) (* c i))))
50.0ms	(cbrt (+ (* z t) (+ (* a b) (* c i))))

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4914	1989
1	4914	1989

prune116.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z t) (+ (* a b) (* c i)))
0.0b	(+ (* x y) (cbrt (pow (+ (* z t) (+ (* a b) (* c i))) 3)))
0.2b	(pow (+ (* z t) (+ (* a b) (* c i))) 3)
38.8b	(cbrt (pow (+ (* z t) (+ (* a b) (* c i))) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+r+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (* z t) (+ (* a b) (* c i)))
10.0ms	(+ (* x y) (cbrt (pow (+ (* z t) (+ (* a b) (* c i))) 3)))
7.0ms	(pow (+ (* z t) (+ (* a b) (* c i))) 3)
6.0ms	(cbrt (pow (+ (* z t) (+ (* a b) (* c i))) 3))

series2.0s

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* z t) (+ (* a b) (* c i)))
113.0ms	(+ (* x y) (cbrt (pow (+ (* z t) (+ (* a b) (* c i))) 3)))
1.9s	(pow (+ (* z t) (+ (* a b) (* c i))) 3)
21.0ms	(cbrt (pow (+ (* z t) (+ (* a b) (* c i))) 3))

simplify26.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5976	1434

prune86.0ms

Filtered

53 candidates to 84 candidates (-58.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* z t) (+ (* a b) (* c i))) 2)
3.5b	(* x (* y (* x y)))
5.5b	(- (* x (* y (* x y))) (pow (+ (* z t) (+ (* a b) (* c i))) 2))
32.7b	(/ (- (* x (* y (* x y))) (pow (+ (* z t) (+ (* a b) (* c i))) 2)) (- (* x y) (+ (* z t) (+ (* a b) (* c i)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
14×	`pow1`
9×	`times-frac`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `pow-exp` `clear-num` `*-commutative` `div-inv` `unpow2` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

6.0ms	(pow (+ (* z t) (+ (* a b) (* c i))) 2)
7.0ms	(* x (* y (* x y)))
12.0ms	(- (* x (* y (* x y))) (pow (+ (* z t) (+ (* a b) (* c i))) 2))
23.0ms	(/ (- (* x (* y (* x y))) (pow (+ (* z t) (+ (* a b) (* c i))) 2)) (- (* x y) (+ (* z t) (+ (* a b) (* c i)))))

series1.3min

Counts

4 → 12

Calls

4 calls:

131.0ms	(pow (+ (* z t) (+ (* a b) (* c i))) 2)
6.0ms	(* x (* y (* x y)))
1.3min	(- (* x (* y (* x y))) (pow (+ (* z t) (+ (* a b) (* c i))) 2))
295.0ms	(/ (- (* x (* y (* x y))) (pow (+ (* z t) (+ (* a b) (* c i))) 2)) (- (* x y) (+ (* z t) (+ (* a b) (* c i)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4977	2237
1	4977	2237

prune109.0ms

Filtered

69 candidates to 94 candidates (-36.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

regimes1.0s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

412.0ms	8000×	body	80	valid
276.0ms	5623×	body	80	invalid

Details

analyze1.4s

sample49.0ms

simplify3.0ms

prune17.0ms

localize12.0ms

rewrite19.0ms

series138.0ms

simplify30.0ms

prune69.0ms

localize19.0ms

rewrite32.0ms

series243.0ms

simplify63.0ms

prune116.0ms

localize15.0ms

rewrite31.0ms

series2.0s

simplify26.0ms

prune86.0ms

localize18.0ms

rewrite50.0ms

series1.3min

simplify58.0ms

prune109.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling