Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

434×

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

localize13.0ms

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))

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:

8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series294.0ms

Counts

3 → 9

Calls

3 calls:

207.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
36.0ms	(+ (* x y) (* z t))
51.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify37.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune133.0ms

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

localize18.0ms

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)))

rewrite38.0ms

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:

17.0ms	(* (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)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
98.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
97.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
98.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify110.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	282	1777
1	1019	1653
2	4836	1516
3	5001	1506

prune320.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite35.0ms

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-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

8.0ms	(+ (+ (* x y) (* z t)) (* a b))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
14.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series935.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (+ (* x y) (* z t)) (* a b))
406.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
407.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
64.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	1141
1	1294	1043
2	5001	1013

prune291.0ms

Filtered

112 candidates to 66 candidates (58.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (+ (+ (* 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 (+ (+ (* x y) (* z t)) (* a b))))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

16.0ms	(* (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
9.0ms	(* (fabs (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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
627.0ms	(* (fabs (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
116.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
116.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify83.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	514	1876
1	2145	1716
2	5002	1689

prune397.0ms

Filtered

94 candidates to 74 candidates (78.7%)

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

regimes439.0ms

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

527.0ms

13358×

body

valid