Details

Time bar (total: 4.0s)

sample17.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

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: 6.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.5b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.5b
(* y (+ 1.0 (* z z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
55.0ms
(* y (+ 1.0 (* z z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0409511
11963443
25001443

prune147.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New68876
Fresh000
Picked101
Done000
Total69877

Merged error: 5.0b

Counts
77 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

3.4b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
3.8b
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
167×add-sqr-sqrt
141×add-cube-cbrt *-un-lft-identity
72×associate-*r*
65×cbrt-prod
43×add-exp-log
33×add-cbrt-cube
22×associate-/l*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
4×pow1 associate-/r/
3×associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 225
Calls
2 calls:
28.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
12.0ms
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

series243.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
114.0ms
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011932982
150012780

prune581.0ms

Filtered
231 candidates to 197 candidates (85.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2292231
Fresh077
Picked101
Done000
Total2309239

Merged error: 5.0b

Counts
239 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
17.8b
(cbrt (+ 1.0 (* z z)))
17.8b
(cbrt (+ 1.0 (* z z)))
17.8b
(cbrt (+ 1.0 (* z z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
16×add-exp-log
9×cbrt-prod flip3-+ flip-+
8×associate-/r/ add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×frac-times
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3 associate-*r/ associate-*l/ associate-/l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
18.0ms
(/ (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
2.0ms
(cbrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))

series971.0ms

Counts
4 → 12
Calls
4 calls:
475.0ms
(/ (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
165.0ms
(cbrt (+ 1.0 (* z z)))
167.0ms
(cbrt (+ 1.0 (* z z)))
163.0ms
(cbrt (+ 1.0 (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04751049
11612901
25001864

prune322.0ms

Filtered
83 candidates to 70 candidates (84.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New83083
Fresh088
Picked011
Done000
Total83992

Merged error: 5.0b

Counts
92 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt 1.0) (* (+ 1.0 (* z z)) x))
3.4b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (cbrt 1.0) (* (+ 1.0 (* z z)) x)))
3.6b
(* (+ 1.0 (* z z)) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
32×add-cbrt-cube
20×add-sqr-sqrt
17×prod-exp cbrt-unprod
16×times-frac
15×associate-*r*
14×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
10×associate-*l*
9×cbrt-prod
7×pow1 associate-*l/
6×associate-/l*
4×associate-/r/
3×flip3-+ flip-+ div-inv add-log-exp unswap-sqr
2×pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num associate-/r*
Counts
3 → 100
Calls
3 calls:
6.0ms
(/ (cbrt 1.0) (* (+ 1.0 (* z z)) x))
18.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (cbrt 1.0) (* (+ 1.0 (* z z)) x)))
5.0ms
(* (+ 1.0 (* z z)) x)

series287.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(/ (cbrt 1.0) (* (+ 1.0 (* z z)) x))
146.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (cbrt 1.0) (* (+ 1.0 (* z z)) x)))
33.0ms
(* (+ 1.0 (* z z)) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05621093
12917877
25002816

prune193.0ms

Filtered
109 candidates to 75 candidates (68.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh347
Picked011
Done011
Total1108118

Merged error: 5.0b

Counts
118 → 8

regimes260.0ms

Accuracy

0% (1.0b remaining)

Error of 5.8b against oracle of 4.8b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02128
12128

end0.0ms

sample423.0ms

Algorithm
intervals
Results
249.0ms8660×body80valid