Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

333×

body

valid

simplify81.0ms

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	750	3
11	1136	3
12	1818	3
13	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	(+ x (* y (- z x)))
0.0b	(* 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:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series90.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (* y (- z x)))
46.0ms	(* y (- z x))

simplify94.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune59.0ms

Filtered

47 candidates to 29 candidates (61.7%)

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: 0b

Counts

48 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* y (- z x)) 3)))
0.0b	(* y (- z x))
0.3b	(pow (* y (- z x)) 3)
33.4b	(cbrt (pow (* y (- z x)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

4.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
6.0ms	(* y (- z x))
6.0ms	(pow (* y (- z x)) 3)
3.0ms	(cbrt (pow (* y (- z x)) 3))

series197.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
34.0ms	(* y (- z x))
57.0ms	(pow (* y (- z x)) 3)
56.0ms	(cbrt (pow (* y (- z x)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	324	422
1	1584	383
2	5001	382

prune146.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

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)))
0.2b	(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite27.0ms

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)))
12.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (- z x))
28.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
93.0ms	(* y (sqrt (- z x)))
37.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

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

prune149.0ms

Filtered

97 candidates to 62 candidates (63.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0b

Counts

100 → 3

regimes65.0ms

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

sample418.0ms

Algorithm

intervals

Results

216.0ms

10010×

body

valid

Details

sample17.0ms

simplify81.0ms

prune2.0ms

localize5.0ms

rewrite13.0ms

series90.0ms

simplify94.0ms

prune59.0ms

localize9.0ms

rewrite21.0ms

series197.0ms

simplify50.0ms

prune146.0ms

localize7.0ms

rewrite27.0ms

series223.0ms

simplify47.0ms

prune149.0ms

regimes65.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample418.0ms

Profiling