Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

397×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

12.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series101.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ x (* (- y z) (- t x)))
42.0ms	(* (- y z) (- t x))

simplify40.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	283	322
1	1160	304
2	5001	303

prune81.0ms

Filtered

58 candidates to 40 candidates (31.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

8.0ms	(* (- y z) (- x))
6.0ms	(* t (- y z))
9.0ms	(+ x (* t (- y z)))
26.0ms	(+ (+ x (* t (- y z))) (* (- y z) (- x)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- y z) (- x))
42.0ms	(* t (- y z))
43.0ms	(+ x (* t (- y z)))
61.0ms	(+ (+ x (* t (- y z))) (* (- y z) (- x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	457	684
1	2231	629
2	5002	622

prune172.0ms

Filtered

118 candidates to 78 candidates (33.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `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`

Counts

4 → 104

Calls

4 calls:

11.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))

series616.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
162.0ms	(cbrt (- y z))
161.0ms	(cbrt (- y z))
160.0ms	(cbrt (- y z))

simplify176.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	268	797
1	958	749
2	4906	679
3	5001	679

prune255.0ms

Filtered

116 candidates to 81 candidates (30.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.9b	(- (* y y) (* z z))
19.2b	(cbrt (- (* y y) (* z z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
52×	`difference-of-squares`
43×	`cbrt-prod`
35×	`*-un-lft-identity`
24×	`swap-sqr`
20×	`*-commutative` `unswap-sqr`
12×	`distribute-lft-out--`
8×	`associate-l`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3`
1×	`sub-neg` `diff-log`

Counts

4 → 115

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
17.0ms	(- (* y y) (* z z))
21.0ms	(cbrt (- (* y y) (* z z)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (- y z))
163.0ms	(cbrt (- y z))
39.0ms	(- (* y y) (* z z))
115.0ms	(cbrt (- (* y y) (* z z)))

simplify105.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	315	684
1	925	654
2	3519	636
3	5001	630

prune260.0ms

Filtered

127 candidates to 63 candidates (50.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Merged error: 0b

Counts

131 → 4

regimes141.0ms

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	10	4
1	10	4

end0.0ms

sample607.0ms

Algorithm

intervals

Results

299.0ms

12252×

body

valid