Details

Time bar (total: 5.0s)

sample33.0ms

Algorithm
intervals
Results
16.0ms260×body80valid
5.0ms196×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- (* x (log y)) z) y)
0.3b
(* x (log y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×associate--l+
12×add-sqr-sqrt log-prod
10×*-un-lft-identity
add-cube-cbrt
add-log-exp
distribute-rgt-in distribute-lft-in
pow1
add-exp-log associate-*r* add-cbrt-cube
diff-log associate-*l*
sub-neg
associate--l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
19.0ms
(- (- (* x (log y)) z) y)
4.0ms
(* x (log y))

series71.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (- (* x (log y)) z) y)
36.0ms
(* x (log y))

simplify52.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0213276
1651251
22033235
35002235

prune114.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
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
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series713.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt y) (cbrt y))
177.0ms
(cbrt y)
174.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune262.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
pow1/3
add-exp-log
swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
unpow-prod-down pow-unpow
pow-prod-down pow-sqr pow-prod-up
pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series711.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt y) (cbrt y))
176.0ms
(cbrt y)
172.0ms
(cbrt y)
170.0ms
(pow y 1/3)

simplify148.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0173288
1778209
24922194
35003194

prune291.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.0b
(* (cbrt 1/3) (cbrt 1/3))
4.1b
(pow y (* (cbrt 1/3) (cbrt 1/3)))
5.3b
(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×cbrt-prod
18×add-cube-cbrt *-un-lft-identity
13×unpow-prod-down
12×pow1
add-exp-log
pow-unpow pow1/3
swap-sqr associate-*r* associate-*l*
pow-exp
add-cbrt-cube add-log-exp unswap-sqr
pow-to-exp sqr-pow
pow-pow pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 92
Calls
4 calls:
0.0ms
(cbrt y)
6.0ms
(* (cbrt 1/3) (cbrt 1/3))
1.0ms
(pow y (* (cbrt 1/3) (cbrt 1/3)))
3.0ms
(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

series868.0ms

Counts
4 → 10
Calls
4 calls:
172.0ms
(cbrt y)
0.0ms
(* (cbrt 1/3) (cbrt 1/3))
235.0ms
(pow y (* (cbrt 1/3) (cbrt 1/3)))
462.0ms
(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

simplify40.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0266565
11089514
25002462

prune370.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes119.0ms

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
084
184

end0.0ms

sample939.0ms

Algorithm
intervals
Results
410.0ms8029×body80valid
197.0ms7757×body80nan