Details

Time bar (total: 3.3s)

sample29.0ms

Algorithm
intervals
Results
18.0ms305×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: 6.7b

localize4.0ms

Local error

Found 1 expressions with local error:

6.6b
(* x (/ y z))

rewrite8.0ms

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))

series20.0ms

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

simplify67.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune83.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.4b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
48.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series577.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
189.0ms
(cbrt y)
173.0ms
(cbrt y)
39.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0360607
12037471
25002432

prune234.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.5b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite27.0ms

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:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
23.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series585.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt z)
174.0ms
(cbrt z)
175.0ms
(cbrt z)
51.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0424748
12233609
25001570

prune288.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

6.3b
(/ (* x y) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
3.0ms
(/ (* x y) z)

series19.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011391
151676
2247376
3500276

prune38.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes221.0ms

Accuracy

87% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02414
12714
2338
3368
4428
5538
6608
7618
8618

end0.0ms

sample784.0ms

Algorithm
intervals
Results
535.0ms9597×body80valid