Details

Time bar (total: 3.9s)

sample17.0ms

Algorithm
intervals
Results
5.0ms259×body80valid
4.0ms290×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

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))

rewrite5.0ms

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log x))

series172.0ms

Counts
1 → 3
Calls
1 calls:
172.0ms
(* x (log x))

simplify187.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune47.0ms

Filtered
28 candidates to 16 candidates (57.1%)
Pruning

9 alts after pruning (8 fresh and 1 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)))

rewrite19.0ms

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×sqrt-pow1 pow1/2 add-log-exp
2×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 100
Calls
4 calls:
4.0ms
(log (sqrt x))
1.0ms
(log (sqrt x))
5.0ms
(* x (log (sqrt x)))
6.0ms
(* x (log (sqrt x)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(log (sqrt x))
67.0ms
(log (sqrt x))
104.0ms
(* x (log (sqrt x)))
103.0ms
(* x (log (sqrt x)))

simplify86.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0183618
1645544
22901510
35001510

prune199.0ms

Filtered
112 candidates to 70 candidates (62.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
16×add-cube-cbrt
12×cbrt-prod log-prod associate-*r* sqrt-prod
11×pow1
8×add-exp-log add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
6×associate-*l*
4×log-pow add-log-exp
2×distribute-rgt-out pow1/3 associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-lft1-in sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 86
Calls
4 calls:
15.0ms
(* x (+ (* 2 (log (cbrt (sqrt x)))) (log (cbrt (sqrt x)))))
5.0ms
(* x (log (sqrt x)))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))

series700.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(* x (+ (* 2 (log (cbrt (sqrt x)))) (log (cbrt (sqrt x)))))
100.0ms
(* x (log (sqrt x)))
150.0ms
(cbrt (sqrt x))
149.0ms
(cbrt (sqrt x))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0361652
11507561
25002527

prune261.0ms

Filtered
98 candidates to 69 candidates (70.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (sqrt x)))
0.3b
(* x (+ (* 2 (log (pow x 1/6))) (log (cbrt (sqrt x)))))
0.6b
(cbrt (sqrt x))
4.1b
(pow x 1/6)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×log-prod
11×pow1
9×add-exp-log associate-*r* sqrt-prod
8×add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
6×cbrt-prod associate-*l*
4×add-log-exp
3×unpow-prod-down pow-unpow log-pow
2×associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow-to-exp pow-pow sqrt-pow1 flip3-+ pow1/2 pow1/3 pow-exp flip-+ sqr-pow
Counts
4 → 86
Calls
4 calls:
5.0ms
(* x (log (sqrt x)))
14.0ms
(* x (+ (* 2 (log (pow x 1/6))) (log (cbrt (sqrt x)))))
1.0ms
(cbrt (sqrt x))
1.0ms
(pow x 1/6)

series732.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* x (log (sqrt x)))
319.0ms
(* x (+ (* 2 (log (pow x 1/6))) (log (cbrt (sqrt x)))))
144.0ms
(cbrt (sqrt x))
170.0ms
(pow x 1/6)

simplify63.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0428618
11944546
25001531

prune273.0ms

Filtered
98 candidates to 66 candidates (67.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes80.0ms

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
01711
11711

end0.0ms

sample563.0ms

Algorithm
intervals
Results
293.0ms8033×body80valid
100.0ms8065×body80nan