Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms321×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune4.0ms

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:
9.0ms
(* x (log x))

series171.0ms

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

simplify197.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune48.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt x))
0.0b
(log (sqrt x))
0.3b
(* x (log (sqrt x)))
0.3b
(* x (log (sqrt x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
24×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×sqrt-prod
16×pow1
12×distribute-rgt-in distribute-lft-in associate-*r* log-pow
10×add-exp-log
8×add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
2×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
2.0ms
(log (sqrt x))
2.0ms
(log (sqrt x))
10.0ms
(* x (log (sqrt x)))
11.0ms
(* x (log (sqrt x)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(log (sqrt x))
55.0ms
(log (sqrt x))
92.0ms
(* x (log (sqrt x)))
95.0ms
(* x (log (sqrt x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0192642
1679572
23087538
35003536

prune218.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series714.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt x) (cbrt x))
171.0ms
(cbrt x)
172.0ms
(cbrt x)
172.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune331.0ms

Pruning

10 alts after pruning (8 fresh and 2 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))))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite43.0ms

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:
10.0ms
(* x (log (cbrt x)))
25.0ms
(+ (* 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)))
333.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
172.0ms
(cbrt x)
176.0ms
(cbrt x)

simplify57.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0381753
11662639
25002569

prune327.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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
067
167

end0.0ms

sample501.0ms

Algorithm
intervals
Results
161.0ms8044×body80valid
103.0ms8044×body80nan