Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify182.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	(+ 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))

series74.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* y (- z x)))
41.0ms	(* y (- z x))

simplify86.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

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

prune64.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log` `distribute-rgt-neg-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `unsub-neg` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* y z) (* y (- x)))
5.0ms	(+ x (+ (* y z) (* y (- x))))

series63.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* y z) (* y (- x)))
29.0ms	(+ x (+ (* y z) (* y (- x))))

simplify107.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	181	209
1	786	168
2	3584	162
3	5001	162

prune51.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

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

series547.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- z x))
139.0ms	(cbrt (- z x))
141.0ms	(cbrt (- z x))
122.0ms	(* (cbrt (- z x)) (cbrt (- z x)))

simplify158.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	261	760
1	921	723
2	4499	670
3	5001	660

prune233.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

3.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
9.0ms	(* y (sqrt (- z x)))
12.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
116.0ms	(* y (sqrt (- z x)))
35.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	548
1	1565	449
2	5002	435

prune180.0ms

Filtered

77 candidates to 49 candidates (63.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Merged error: 0b

Counts

80 → 3

regimes83.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample454.0ms

Algorithm

intervals

Results

229.0ms

10087×

body

valid