Details

Time bar (total: 4.1s)

sample23.0ms

Algorithm
intervals
Results
12.0ms312×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b
(* x (/ y z))

rewrite9.0ms

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:
7.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify71.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune76.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series711.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt z) (cbrt z))
175.0ms
(cbrt y)
166.0ms
(cbrt y)
170.0ms
(cbrt y)

simplify75.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0133318
1459285
22135259
35002256

prune255.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))
4.8b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
33×cbrt-prod
29×add-cube-cbrt *-un-lft-identity
28×times-frac associate-*r*
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 129
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
24.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series597.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt z)
180.0ms
(cbrt z)
192.0ms
(* (cbrt z) (cbrt z))
51.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify78.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0489884
12850720
25001669

prune337.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
9×pow1
6×times-frac
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 99
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
41.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
177.0ms
(cbrt x)
173.0ms
(cbrt x)
22.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04381078
11929798
25001674

prune216.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01312
11312

end0.0ms

sample659.0ms

Algorithm
intervals
Results
411.0ms9644×body80valid