Details

Time bar (total: 4.3s)

sample20.0ms

Algorithm
intervals
Results
7.0ms258×body80valid
4.0ms251×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite6.0ms

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:
5.0ms
(* x (log x))

series181.0ms

Counts
1 → 3
Calls
1 calls:
180.0ms
(* x (log x))

simplify202.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune46.0ms

Filtered
30 candidates to 18 candidates (60.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New23730
Fresh000
Picked101
Done000
Total24731

Merged error: 0.0b

Counts
31 → 7

localize9.0ms

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)))

rewrite17.0ms

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))
5.0ms
(* x (log (sqrt x)))
5.0ms
(* x (log (sqrt x)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(log (sqrt x))
65.0ms
(log (sqrt x))
101.0ms
(* x (log (sqrt x)))
104.0ms
(* x (log (sqrt x)))

simplify95.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0192642
1679572
23087538
35003536

prune196.0ms

Filtered
120 candidates to 78 candidates (65.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1164120
Fresh336
Picked011
Done000
Total1198127

Merged error: 0.0b

Counts
127 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
66×log-prod
51×distribute-rgt-in distribute-lft-in
48×cbrt-prod
36×associate-+l+
34×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
30×sqrt-prod
18×associate-+r+
8×pow1
6×add-exp-log associate-*r* add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* log-pow
2×pow1/3
1×+-commutative fma-def sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 136
Calls
4 calls:
5.0ms
(* x (log (sqrt x)))
12.0ms
(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series690.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* x (log (sqrt x)))
293.0ms
(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
146.0ms
(cbrt (sqrt x))
148.0ms
(cbrt (sqrt x))

simplify72.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05581150
12210985
25002931

prune399.0ms

Filtered
148 candidates to 113 candidates (76.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1480148
Fresh066
Picked011
Done011
Total1488156

Merged error: 0.0b

Counts
156 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite21.0ms

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)))
9.0ms
(+ (* 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:
336.0ms
(* x (log (cbrt x)))
343.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
174.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0381753
11662639
25002569

prune274.0ms

Filtered
123 candidates to 103 candidates (83.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1194123
Fresh415
Picked011
Done112
Total1247131

Merged error: 0b

Counts
131 → 7

regimes26.0ms

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

sample532.0ms

Algorithm
intervals
Results
209.0ms8049×body80valid
140.0ms8166×body80nan

Profiling

Loading profile data...