Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

330×

body

valid

simplify183.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* y (- z x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

6.0ms	(* y (- z x))
5.0ms	(+ x (* y (- z x)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- z x))
40.0ms	(+ x (* y (- z x)))

simplify89.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3521	165
3	5003	165

prune76.0ms

Filtered

47 candidates to 29 candidates (61.7%)

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: 0b

Counts

48 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z x)) (cbrt (- z x)))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))

series591.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
138.0ms	(cbrt (- z x))
139.0ms	(cbrt (- z x))
143.0ms	(cbrt (- z x))

simplify156.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	261	760
1	914	723
2	4493	670
3	5001	660

prune303.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
0.1b	(* (sqrt y) (- z x))
0.2b	(* (sqrt y) (* (sqrt y) (- z x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow1` `add-exp-log` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt` `associate-+r+`
7×	`sqrt-prod`
6×	`associate-r/` `associate-r*`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
7.0ms	(* (sqrt y) (- z x))
9.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
69.0ms	(* (sqrt y) (- z x))
41.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	337	476
1	1436	396
2	5002	388

prune116.0ms

Filtered

89 candidates to 55 candidates (61.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	89	4	93

Merged error: 0b

Counts

93 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z x))
0.0b	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
0.1b	(* y (sqrt (- z x)))
0.1b	(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- z x))
2.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
7.0ms	(* y (sqrt (- z x)))
11.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (- z x))
27.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
91.0ms	(* y (sqrt (- z x)))
37.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	404	645
1	1696	538
2	5001	521

prune152.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes76.0ms

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	8	3
1	8	3

end0.0ms

sample406.0ms

Algorithm

intervals

Results

207.0ms

10028×

body

valid