Details

Time bar (total: 5.6s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms251×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: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite9.0ms

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:
8.0ms
(* x (log x))

series172.0ms

Counts
1 → 3
Calls
1 calls:
171.0ms
(* x (log x))

simplify194.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune70.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt x)))
0.4b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite39.0ms

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:
9.0ms
(* x (log (cbrt x)))
24.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series977.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(* x (log (cbrt x)))
322.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
166.0ms
(cbrt x)
166.0ms
(cbrt x)

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0381753
11662639
25002583

prune473.0ms

Pruning

7 alts after pruning (6 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)

rewrite13.0ms

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))))
9.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
659.0ms
(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
319.0ms
(* x (log (cbrt x)))
193.0ms
(cbrt x)
167.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0165411
1635366
22715343
35001333

prune307.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt (sqrt x))))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))
5.0b
(pow x 1/3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
20×add-sqr-sqrt
18×add-cube-cbrt log-prod *-un-lft-identity
12×sqrt-prod
9×distribute-rgt-in distribute-lft-in
8×pow1
7×add-exp-log
6×add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow1/3 associate-*l*
2×log-pow
1×pow-to-exp pow-pow unpow1/3 pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 92
Calls
4 calls:
10.0ms
(* x (log (cbrt (sqrt x))))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))
2.0ms
(pow x 1/3)

series728.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(* x (log (cbrt (sqrt x))))
147.0ms
(cbrt (sqrt x))
138.0ms
(cbrt (sqrt x))
166.0ms
(pow x 1/3)

simplify38.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0269546
11066487
25001457

prune478.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes74.0ms

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

sample463.0ms

Algorithm
intervals
Results
171.0ms8045×body80valid
114.0ms8097×body80nan