Details

Time bar (total: 5.1s)

sample17.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
4.0ms276×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))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×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:
7.0ms
(* x (log x))

series188.0ms

Counts
1 → 3
Calls
1 calls:
188.0ms
(* x (log x))

simplify196.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune48.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-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)))
14.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series998.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(* x (log (cbrt x)))
334.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
173.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify57.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0381753
11662639
25002569

prune319.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
0.3b
(* x (log (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt log-prod *-un-lft-identity
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
0.0ms
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
8.0ms
(* x (log (cbrt x)))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
677.0ms
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
324.0ms
(* x (log (cbrt x)))
178.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify88.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0165411
1635366
22715343
35001333

prune206.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
10.0ms
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt x)

series629.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
147.0ms
(cbrt (sqrt x))
149.0ms
(cbrt (sqrt x))
182.0ms
(cbrt x)

simplify113.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0173674
1616631
23253578
35001504

prune305.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b 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

sample437.0ms

Algorithm
intervals
Results
168.0ms8043×body80valid
99.0ms7831×body80nan