Details

Time bar (total: 4.3s)

sample34.0ms

Algorithm
intervals
Results
23.0ms323×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.4b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
15.0ms
(* (* z z) (+ z 1.0))
12.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (* z z) (+ z 1.0))
70.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0380385
12326297
25001297

prune100.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.6b
(/ x (* z z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
6.0ms
(/ y (+ z 1.0))
26.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series112.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
55.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
23.0ms
(/ x (* z z))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0523706
12630610
25002610

prune228.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
37.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
194.0ms
(cbrt x)
175.0ms
(cbrt x)
72.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify72.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0531965
12816680
25001576

prune213.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
86×add-cbrt-cube
52×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
13×cbrt-prod
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))
58.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

series774.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
245.0ms
(cbrt (cbrt x))
276.0ms
(cbrt (* (cbrt x) (cbrt x)))
76.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

simplify92.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07171840
139341249
250021134

prune265.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (1.2b remaining)

Error of 1.4b against oracle of 0.2b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01935
11935

end0.0ms

sample1.0s

Algorithm
intervals
Results
793.0ms10750×body80valid