Details

Time bar (total: 3.8s)

sample16.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
3.0ms245×body80nan

simplify3.0ms

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))

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×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:
4.0ms
(* x (log x))

series172.0ms

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

simplify223.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198

prune51.0ms

Pruning

8 alts after pruning (8 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)))

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×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:
1.0ms
(log (sqrt x))
1.0ms
(log (sqrt x))
5.0ms
(* x (log (sqrt x)))
8.0ms
(* x (log (sqrt x)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(log (sqrt x))
63.0ms
(log (sqrt x))
98.0ms
(* x (log (sqrt x)))
99.0ms
(* x (log (sqrt x)))

simplify89.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0192642
1687572
23095538
35002536

prune213.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (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
48×log-prod
42×distribute-rgt-in distribute-lft-in
36×cbrt-prod
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
24×sqrt-prod
13×pow1
11×add-exp-log add-cbrt-cube
7×associate-*r*
6×associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×log-pow
2×pow1/3 *-commutative
1×sqrt-pow1 pow1/2 unswap-sqr
Counts
4 → 123
Calls
4 calls:
12.0ms
(* x (* 2 (log (cbrt (sqrt x)))))
5.0ms
(* x (log (sqrt x)))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))

series691.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(* x (* 2 (log (cbrt (sqrt x)))))
102.0ms
(* x (log (sqrt x)))
151.0ms
(cbrt (sqrt x))
144.0ms
(cbrt (sqrt x))

simplify54.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0455987
11698904
25002826

prune312.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×sqrt-prod
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt (sqrt x))
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series676.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (sqrt x))
171.0ms
(cbrt x)
179.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify45.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0111217
1290202
21225191
35001190

prune303.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes81.0ms

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
01814
11814

end0.0ms

sample435.0ms

Algorithm
intervals
Results
155.0ms8050×body80valid
101.0ms8142×body80nan