Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms308×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b
(* x (/ y z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
13.0ms
(* x (/ y z))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* x (/ y z))

simplify64.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune122.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
3.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
52.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
171.0ms
(cbrt z)
169.0ms
(cbrt z)
48.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0424748
12233609
25001570

prune285.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))
3.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
15×add-sqr-sqrt prod-exp cbrt-unprod
13×cbrt-prod
12×cbrt-undiv div-exp
11×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r* associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt z)
5.0ms
(cbrt (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (cbrt z))
64.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series734.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt z)
268.0ms
(cbrt (* (cbrt z) (cbrt z)))
239.0ms
(cbrt (cbrt z))
52.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04351045
12170802
25001738

prune309.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (cbrt x) (cbrt z)) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
49×cbrt-prod
48×add-sqr-sqrt
43×times-frac
40×associate-*l*
34×add-cube-cbrt *-un-lft-identity
25×add-exp-log
15×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*r*
6×pow1
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
60.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series756.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt x)
180.0ms
(cbrt x)
194.0ms
(cbrt x)
169.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04451339
118951203
250021188

prune435.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

-6.6% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02521
12521

end0.0ms

sample567.0ms

Algorithm
intervals
Results
248.0ms9620×body80valid