Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms269×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite17.0ms

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:
15.0ms
(* x (log x))

series227.0ms

Counts
1 → 3
Calls
1 calls:
227.0ms
(* x (log x))

simplify200.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune47.0ms

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))
0.2b
(* x (log (sqrt x)))
0.2b
(* 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)))
10.0ms
(* x (log (sqrt x)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(log (sqrt x))
59.0ms
(log (sqrt x))
94.0ms
(* x (log (sqrt x)))
93.0ms
(* x (log (sqrt x)))

simplify88.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0192642
1679572
23087538
35003536

prune208.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite15.0ms

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:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series752.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt x) (cbrt x))
174.0ms
(cbrt x)
216.0ms
(cbrt x)
168.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune336.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt x))
0.2b
(* x (log (sqrt x)))
0.3b
(* (sqrt x) (* (sqrt x) (log (sqrt x))))
0.4b
(* (sqrt x) (log (sqrt x)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
36×distribute-rgt-in distribute-lft-in
35×add-sqr-sqrt
34×sqrt-prod
29×add-cube-cbrt *-un-lft-identity
19×pow1
15×associate-*l*
14×add-exp-log
13×associate-*r* add-cbrt-cube
9×log-pow
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2 *-commutative unswap-sqr
1×rem-log-exp
Counts
4 → 140
Calls
4 calls:
2.0ms
(log (sqrt x))
13.0ms
(* x (log (sqrt x)))
28.0ms
(* (sqrt x) (* (sqrt x) (log (sqrt x))))
14.0ms
(* (sqrt x) (log (sqrt x)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(log (sqrt x))
92.0ms
(* x (log (sqrt x)))
102.0ms
(* (sqrt x) (* (sqrt x) (log (sqrt x))))
171.0ms
(* (sqrt x) (log (sqrt x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04781034
11866917
25001858

prune241.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes30.0ms

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
067
167

end0.0ms

sample479.0ms

Algorithm
intervals
Results
161.0ms8035×body80valid
96.0ms7943×body80nan