Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms357×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
093
1113
2132
3142
4142

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y z) y x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ y z) y x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02744
16839
222139
382039
4500239

prune38.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y z) y) x)
0.2b
(* (/ y z) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*r*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
4.0ms
(+ (* (/ y z) y) x)
8.0ms
(* (/ y z) y)

series43.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (* (/ y z) y) x)
20.0ms
(* (/ y z) y)

simplify111.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0219210
1763185
23920184
35001181

prune128.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ y z)) (cbrt (/ y z)))
8.2b
(cbrt (/ y z))
8.2b
(cbrt (/ y z))
8.2b
(cbrt (/ y z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
18.0ms
(* (cbrt (/ y z)) (cbrt (/ y z)))
1.0ms
(cbrt (/ y z))
1.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series312.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (cbrt (/ y z)) (cbrt (/ y z)))
73.0ms
(cbrt (/ y z))
68.0ms
(cbrt (/ y z))
73.0ms
(cbrt (/ y z))

simplify85.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune742.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (* (cbrt y) (cbrt y)) 1))
1.8b
(cbrt (/ (cbrt y) z))
8.2b
(cbrt (/ y z))
8.2b
(cbrt (/ y z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
39×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
4 → 99
Calls
4 calls:
3.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) 1))
2.0ms
(cbrt (/ (cbrt y) z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series633.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) 1))
198.0ms
(cbrt (/ (cbrt y) z))
71.0ms
(cbrt (/ y z))
71.0ms
(cbrt (/ y z))

simplify90.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0283719
1701685
22634670
35002638

prune477.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample433.0ms

Algorithm
intervals
Results
222.0ms10706×body80valid