Details

Time bar (total: 5.0s)

sample24.0ms

Algorithm
intervals
Results
12.0ms301×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize5.0ms

Local error

Found 1 expressions with local error:

5.1b
(* 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:
8.0ms
(* x (/ y z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* x (/ y z))

simplify83.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune111.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
14.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series739.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt z)
218.0ms
(cbrt z)
210.0ms
(cbrt z)
105.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0308503
11348411
25001372

prune283.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
2.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
19×add-cbrt-cube
16×prod-exp cbrt-unprod
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×pow1 cbrt-undiv div-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
1×times-frac associate-*r/ pow-prod-down *-commutative div-inv unswap-sqr
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
20.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))))

series808.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt z)
210.0ms
(cbrt z)
311.0ms
(cbrt (* (cbrt z) (cbrt z)))
85.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))))

simplify71.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0422847
12066668
25001643

prune332.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
2.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
32×prod-exp cbrt-unprod
31×add-cbrt-cube
10×cbrt-undiv add-sqr-sqrt div-exp
7×add-cube-cbrt *-un-lft-identity
6×pow1
5×cbrt-prod associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt z)
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
5.0ms
(cbrt (* (cbrt z) (cbrt z)))
24.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

series960.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt z)
322.0ms
(cbrt (* (cbrt z) (cbrt z)))
309.0ms
(cbrt (* (cbrt z) (cbrt z)))
112.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
05091345
12422975
25002915

prune353.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

39.7% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch5.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02518
12518

end0.0ms

sample551.0ms

Algorithm
intervals
Results
284.0ms9583×body80valid