Details

Time bar (total: 3.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms316×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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
31.0ms
(* (- 1.0 x) z)
30.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify102.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune63.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.5b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.5b
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))

rewrite22.0ms

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:
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)))
10.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
144.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
147.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
199.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03141273
110391192
250011084

prune217.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh112
Picked011
Done011
Total994103

Merged error: 0.0b

Counts
103 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
20×cbrt-prod
14×flip3-+ flip-+
8×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
Counts
4 → 66
Calls
4 calls:
4.0ms
(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
4.0ms
(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
12.0ms
(cbrt (* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z)))))
9.0ms
(cbrt (* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z)))))

series700.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
149.0ms
(cbrt (cbrt (+ (* x y) (* (- 1.0 x) z))))
206.0ms
(cbrt (* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z)))))
201.0ms
(cbrt (* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02881372
17101292
227271242
350021232

prune281.0ms

Filtered
78 candidates to 70 candidates (89.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done022
Total78482

Merged error: 0.0b

Counts
82 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
0.1b
(* (- 1.0 x) (sqrt z))
0.2b
(* (* (- 1.0 x) (sqrt z)) (sqrt z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
4.0ms
(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
7.0ms
(* (- 1.0 x) (sqrt z))
9.0ms
(* (* (- 1.0 x) (sqrt z)) (sqrt z))

series112.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
40.0ms
(* (- 1.0 x) (sqrt z))
33.0ms
(* (* (- 1.0 x) (sqrt z)) (sqrt z))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0319434
11318366
25002355

prune126.0ms

Filtered
69 candidates to 46 candidates (66.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done033
Total69473

Merged error: 0.0b

Counts
73 → 4

regimes79.0ms

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

sample484.0ms

Algorithm
intervals
Results
279.0ms10098×body80valid