Details

Time bar (total: 3.5s)

sample23.0ms

Algorithm
intervals
Results
11.0ms301×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize4.0ms

Local error

Found 1 expressions with local error:

3.3b
(* x (/ y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
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))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* x (/ y z))

simplify80.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune93.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

3.3b
(* x (/ y z))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
7.0ms
(* x (/ y z))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* x (/ y z))
95.0ms
(cbrt (* x (/ y z)))
93.0ms
(cbrt (* x (/ y z)))
92.0ms
(cbrt (* x (/ y z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0234388
1941340
23868313
35002313

prune245.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt cbrt-div *-un-lft-identity pow1/3 associate-*r/ add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (* x (/ y z)))
92.0ms
(cbrt (* x (/ y z)))
92.0ms
(cbrt (* x (/ y z)))
91.0ms
(cbrt (* x (/ y z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
091332
1209304
2683284
32610252
45002252

prune213.0ms

Pruning

9 alts after pruning (6 fresh and 3 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)
4.8b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite54.0ms

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
pow-prod-down
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
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)
49.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series648.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt y)
199.0ms
(cbrt y)
206.0ms
(cbrt y)
43.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify73.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0360607
12037471
25002432

prune273.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

72.1% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 6.3b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02613
1298
2328
3328

end0.0ms

sample516.0ms

Algorithm
intervals
Results
271.0ms9564×body80valid