Details

Time bar (total: 3.6s)

sample18.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) z)
0.0b
(+ (* x y) (* (- 1.0 x) z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
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 → 33
Calls
2 calls:
6.0ms
(* (- 1.0 x) z)
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series62.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 x) z)
34.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify99.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune69.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt z) (cbrt z))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series732.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt z) (cbrt z))
173.0ms
(cbrt z)
175.0ms
(cbrt z)
185.0ms
(cbrt z)

simplify86.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune186.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

series828.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
340.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
144.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
149.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify180.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03141273
110311192
249981084
350011084

prune231.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh022
Picked011
Done022
Total977104

Merged error: 0b

Counts
104 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 x))
0.0b
(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))
0.1b
(* (sqrt (- 1.0 x)) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div associate-*l* sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*l/
8×flip3-- flip--
6×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 85
Calls
4 calls:
6.0ms
(sqrt (- 1.0 x))
3.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
11.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))
7.0ms
(* (sqrt (- 1.0 x)) z)

series185.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (- 1.0 x))
30.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
29.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))
92.0ms
(* (sqrt (- 1.0 x)) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0409654
11442563
25001549

prune188.0ms

Filtered
97 candidates to 66 candidates (68.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh123
Picked101
Done033
Total986104

Merged error: 0b

Counts
104 → 6

regimes105.0ms

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)

IterNodesCost
0114
1114

end0.0ms

sample475.0ms

Algorithm
intervals
Results
275.0ms10128×body80valid