Details

analyze1.7s

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

sample55.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	191×	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

prune10.0ms

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: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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-+l+`

Counts

3 → 38

Calls

3 calls:

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

series139.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms	(+ (* x y) (* z t))
23.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify41.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4895	677
1	4895	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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b)) (* c i))
0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.3b	(pow (+ (* x y) (* z t)) 3)
34.8b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite32.0ms

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-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

12.0ms	(+ (+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b)) (* c i))
9.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
5.0ms	(pow (+ (* x y) (* z t)) 3)
5.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

series180.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b)) (* c i))
19.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
34.0ms	(pow (+ (* x y) (* z t)) 3)
10.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5129	1183

prune102.0ms

Filtered

53 candidates to 84 candidates (-58.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 0b

Counts

88 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)) (* c i))
0.0b	(+ (* z t) (* a b))
0.3b	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
39.5b	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

11.0ms	(+ (cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)) (* c i))
4.0ms	(+ (* z t) (* a b))
7.0ms	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
6.0ms	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

series1.9s

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)) (* c i))
16.0ms	(+ (* z t) (* a b))
1.8s	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
19.0ms	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4850	1332
1	4850	1332

prune97.0ms

Filtered

53 candidates to 82 candidates (-54.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

3.4b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
4.5b	(* a (* a (* b b)))
8.6b	(* a (* b b))
40.8b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* a (* a (* b b))) (* (+ (* x y) (* z t)) (+ (* x y) (- (* z t) (* a b))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
17×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

12.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
7.0ms	(* a (* a (* b b)))
5.0ms	(* a (* b b))
23.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* a (* a (* b b))) (* (+ (* x y) (* z t)) (+ (* x y) (- (* z t) (* a b))))))

series2.3s

Counts

4 → 12

Calls

4 calls:

2.1s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
6.0ms	(* a (* a (* b b)))
7.0ms	(* a (* b b))
201.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* a (* a (* b b))) (* (+ (* x y) (* z t)) (+ (* x y) (- (* z t) (* a b))))))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	6392	3091

prune141.0ms

Filtered

68 candidates to 104 candidates (-52.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Merged error: 0b

Counts

108 → 4

regimes1.4s

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

411.0ms	8000×	body	80	valid
276.0ms	5595×	body	80	invalid

Details

analyze1.7s

sample55.0ms

simplify3.0ms

prune10.0ms

localize12.0ms

rewrite20.0ms

series139.0ms

simplify41.0ms

prune69.0ms

localize15.0ms

rewrite32.0ms

series180.0ms

simplify39.0ms

prune102.0ms

localize15.0ms

rewrite29.0ms

series1.9s

simplify56.0ms

prune97.0ms

localize25.0ms

rewrite49.0ms

series2.3s

simplify48.0ms

prune141.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling