Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify185.0ms

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

rewrite17.0ms

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (* y (- z x)))
42.0ms	(* y (- z x))

simplify87.0ms

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

prune62.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

3.0ms	(+ (* y z) (* y (- x)))
5.0ms	(+ x (+ (* y z) (* y (- x))))

series59.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* y z) (* y (- x)))
28.0ms	(+ x (+ (* y z) (* y (- x))))

simplify105.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (22.0ms)

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

prune50.0ms

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 (* y (- z x))) (cbrt (* y (- z x))))
3.2b	(cbrt (* y (- z x)))
3.2b	(cbrt (* y (- z x)))
3.2b	(cbrt (* y (- z x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
6.0ms	(cbrt (* y (- z x)))
4.0ms	(cbrt (* y (- z x)))
4.0ms	(cbrt (* y (- z x)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
152.0ms	(cbrt (* y (- z x)))
153.0ms	(cbrt (* y (- z x)))
152.0ms	(cbrt (* y (- z x)))

simplify107.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	254	606
1	837	553
2	3945	507
3	5001	499

prune179.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
1.8b	(- (* z z) (* x x))
11.4b	(* y (- (* z z) (* x x)))
17.9b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.0ms	(- (* z z) (* x x))
6.0ms	(* y (- (* z z) (* x x)))
9.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
29.0ms	(- (* z z) (* x x))
62.0ms	(* y (- (* z z) (* x x)))
68.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	367	620
1	1808	538
2	5001	507

prune125.0ms

Filtered

89 candidates to 60 candidates (67.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes47.0ms

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

241.0ms

10129×

body

valid