Details

sample68.0ms

Algorithm

intervals

Results

27.0ms

466×

body

valid

simplify8.0ms

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

prune5.0ms

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))

rewrite17.0ms

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))

series142.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))
114.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify35.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

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

prune61.0ms

Filtered

37 candidates to 47 candidates (-27.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:

16.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
49.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
48.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
50.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	282	1801
1	1050	1679
2	5001	1548

prune121.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0b

Counts

102 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.9b	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`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 → 66

Calls

4 calls:

6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
7.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
9.0ms	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

series237.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
48.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
49.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
94.0ms	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

simplify128.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	293	1134
1	981	1057
2	4518	1024
3	5001	1015

prune120.0ms

Filtered

63 candidates to 78 candidates (-23.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Merged error: 0b

Counts

83 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
24×	`add-sqr-sqrt`
18×	`cbrt-div`
16×	`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`
3×	`sqrt-prod`
2×	`sqrt-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

7.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
15.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
70.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
47.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
49.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify45.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	324	1881
1	1131	1756
2	5001	1623

prune107.0ms

Filtered

76 candidates to 102 candidates (-34.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	102	5	107

Merged error: 0b

Counts

107 → 5

regimes1.5s

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

sample1.9s

Algorithm

intervals

Results

690.0ms

13577×

body

valid

Details

sample68.0ms

simplify8.0ms

prune5.0ms

localize11.0ms

rewrite17.0ms

series142.0ms

simplify35.0ms

prune61.0ms

localize20.0ms

rewrite36.0ms

series217.0ms

simplify44.0ms

prune121.0ms

localize24.0ms

rewrite30.0ms

series237.0ms

simplify128.0ms

prune120.0ms

localize23.0ms

rewrite37.0ms

series214.0ms

simplify45.0ms

prune107.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling