Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
11.0ms337×body80valid

simplify197.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1036584
1140314
1244294
1350024

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: 3.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 y) z)
45.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune264.0ms

Filtered
52 candidates to 33 candidates (63.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New45752
Fresh000
Picked011
Done000
Total45853

Merged error: 0.0b

Counts
53 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
1.7b
(* (* x z) (- y 1.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series110.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
46.0ms
(* (* x z) (- y 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0257266
11177224
25002219

prune78.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh066
Picked011
Done101
Total46955

Merged error: 0.0b

Counts
55 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
1.1b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
23.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))

series439.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (- y 1.0))
100.0ms
(cbrt (- y 1.0))
172.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
72.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06651553
125831345
250011279

prune268.0ms

Filtered
130 candidates to 77 candidates (59.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1291130
Fresh077
Picked011
Done011
Total12910139

Merged error: 0.0b

Counts
139 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (- y 1.0)))
0.3b
(cbrt (cbrt (- y 1.0)))
0.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
1.1b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
344×cbrt-div
140×frac-times
126×associate-*r/
116×flip3-- flip--
57×pow1 add-exp-log
46×associate-*l/
39×pow-prod-down prod-exp cbrt-unprod
35×add-cbrt-cube
26×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×add-log-exp
2×pow1/3 associate-*r* associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 186
Calls
4 calls:
4.0ms
(cbrt (cbrt (- y 1.0)))
3.0ms
(cbrt (cbrt (- y 1.0)))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
30.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))

series646.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (cbrt (- y 1.0)))
111.0ms
(cbrt (cbrt (- y 1.0)))
156.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
259.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))

simplify126.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
012504141
141683850
250023812

prune526.0ms

Filtered
198 candidates to 107 candidates (54.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh077
Picked011
Done022
Total19810208

Merged error: 0.0b

Counts
208 → 10

regimes250.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample444.0ms

Algorithm
intervals
Results
243.0ms10091×body80valid