Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

391×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
8.0ms	(* (- y z) (- t x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* (- y z) (- t x)))
41.0ms	(* (- y z) (- t x))

simplify51.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune115.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

3.0ms	(+ x (* t (- y z)))
6.0ms	(* t (- y z))
7.0ms	(* (- y z) (- x))
11.0ms	(+ (+ x (* t (- y z))) (* (- y z) (- x)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (* t (- y z)))
35.0ms	(* t (- y z))
31.0ms	(* (- y z) (- x))
55.0ms	(+ (+ x (* t (- y z))) (* (- y z) (- x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	459	587
1	2247	555
2	5001	548

prune189.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	103	5	108

Merged error: 0b

Counts

108 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

5.0ms	(+ x (+ (* t y) (* t (- z))))
4.0ms	(+ (* t y) (* t (- z)))
8.0ms	(* (- y z) (- x))
9.0ms	(+ (+ x (+ (* t y) (* t (- z)))) (* (- y z) (- x)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (+ (* t y) (* t (- z))))
37.0ms	(+ (* t y) (* t (- z)))
26.0ms	(* (- y z) (- x))
56.0ms	(+ (+ x (+ (* t y) (* t (- z)))) (* (- y z) (- x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	493	704
1	2350	621
2	5003	613

prune205.0ms

Filtered

94 candidates to 71 candidates (75.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	94	5	99

Merged error: 0b

Counts

99 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

15.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))

series598.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
160.0ms	(cbrt (- y z))
157.0ms	(cbrt (- y z))
151.0ms	(cbrt (- y z))

simplify209.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (199.0ms)

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

prune277.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes162.0ms

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	23	9
1	31	9
2	33	9
3	33	9

end0.0ms

sample664.0ms

Algorithm

intervals

Results

354.0ms

12182×

body

valid