Details

Time bar (total: 4.9s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms245×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
log-prod
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
5.0ms
(* x (log x))

series173.0ms

Counts
1 → 3
Calls
1 calls:
173.0ms
(* x (log x))

simplify196.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune44.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u log1p-expm1-u
pow1/3 associate-*l*
log-pow
+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
13.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* x (log (cbrt x)))
331.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
170.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0381753
11662639
25002569

prune325.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt x)))) (* (* x 1/3) (log x)))
0.3b
(* x 1/3)
0.3b
(* (* x 1/3) (log x))
0.6b
(cbrt x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×associate-+l+
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
associate-*r*
associate-+r+ add-log-exp
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
*-commutative
+-commutative fma-def flip3-+ pow1/3 sum-log log-pow flip-+ unswap-sqr
Counts
4 → 104
Calls
4 calls:
10.0ms
(+ (* x (* 2 (log (cbrt x)))) (* (* x 1/3) (log x)))
4.0ms
(* x 1/3)
6.0ms
(* (* x 1/3) (log x))
1.0ms
(cbrt x)

series924.0ms

Counts
4 → 12
Calls
4 calls:
536.0ms
(+ (* x (* 2 (log (cbrt x)))) (* (* x 1/3) (log x)))
17.0ms
(* x 1/3)
185.0ms
(* (* x 1/3) (log x))
186.0ms
(cbrt x)

simplify85.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0458669
12244581
25001536

prune298.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series774.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (cbrt x))
174.0ms
(cbrt x)
180.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify54.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
075209
1145195
2361187
31382187
45002187

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
142

end0.0ms

sample454.0ms

Algorithm
intervals
Results
164.0ms8031×body80valid
106.0ms8060×body80nan