Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

414×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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:

3.0ms	(+ (* x y) (* z t))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series280.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* z t))
53.0ms	(+ (+ (* x y) (* z t)) (* a b))
195.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune118.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`flip3-+` `flip-+`
5×	`*-un-lft-identity`
4×	`frac-add`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
1×	`associate-+l+` `associate-+r+` `distribute-lft-out`

Counts

3 → 43

Calls

3 calls:

3.0ms	(+ (* x y) (* z t))
3.0ms	(+ (* a b) (* i c))
8.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x y) (* z t))
32.0ms	(+ (* a b) (* i c))
211.0ms	(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

simplify48.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	349	491
1	1641	476
2	5001	456

prune132.0ms

Filtered

52 candidates to 41 candidates (78.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Merged error: 0.0b

Counts

55 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite30.0ms

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:

13.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
115.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
113.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
114.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify111.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	309	1413
1	1083	1317
2	4413	1198
3	5002	1187

prune300.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
166.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
110.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
112.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	154	700
1	434	648
2	1431	616
3	5001	612

prune275.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

regimes525.0ms

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	7
1	22	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

657.0ms

13718×

body

valid