Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

436×

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

rewrite21.0ms

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:

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

series282.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
50.0ms	(+ (+ (* x y) (* z t)) (* a b))
32.0ms	(+ (* x y) (* z t))

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

prune131.0ms

Filtered

47 candidates to 37 candidates (78.7%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.0b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x y) (* z t))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
17.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x y) (* z t))
404.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
396.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
51.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	338	1113
1	1514	1003
2	5001	973

prune288.0ms

Filtered

110 candidates to 66 candidates (60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
0.2b	(* (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`cbrt-prod` `associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 83

Calls

4 calls:

11.0ms	(* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
15.0ms	(* (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series692.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
243.0ms	(* (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
120.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
117.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify55.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	456	1866
1	1619	1710
2	5001	1665

prune420.0ms

Filtered

95 candidates to 76 candidates (80.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

regimes405.0ms

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

sample1.1s

Algorithm

intervals

Results

550.0ms

13454×

body

valid