Details

Time bar (total: 4.9s)

sample29.0ms

Algorithm
intervals
Results
7.0ms257×body80valid
5.0ms265×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log y))

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
8.0ms
(* x (log y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* x (log y))

simplify87.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
097115
133999
290692
3298092
4500292

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

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*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
10.0ms
(* x (log (cbrt y)))
25.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series540.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* x (log (cbrt y)))
101.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
173.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify51.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0345729
11431634
25001547

prune342.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))

series829.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
179.0ms
(cbrt y)
236.0ms
(cbrt (cbrt y))
237.0ms
(cbrt (cbrt y))

simplify48.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
071226
1141210
2357202
31377202
45001202

prune287.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.3b
(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
5.0b
(pow (/ 1 y) -1/3)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
148×log-prod
142×distribute-rgt-in distribute-lft-in
117×unpow-prod-down
82×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
81×times-frac
68×associate-+l+
14×add-exp-log
12×associate-+r+
11×pow1
9×cbrt-prod add-cbrt-cube div-inv sqr-pow
6×add-log-exp
4×pow-exp
3×pow-unpow pow-pow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×div-exp
1×+-commutative pow-to-exp rec-exp pow-flip flip3-+ pow1/3 1-exp associate-*r* sum-log *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 221
Calls
4 calls:
40.0ms
(* x (* 2 (log (pow (/ 1 y) -1/3))))
47.0ms
(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
7.0ms
(pow (/ 1 y) -1/3)

series618.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* x (* 2 (log (pow (/ 1 y) -1/3))))
178.0ms
(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
181.0ms
(cbrt y)
173.0ms
(pow (/ 1 y) -1/3)

simplify100.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
09832101
129001914
250021808

prune664.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample848.0ms

Algorithm
intervals
Results
218.0ms8031×body80valid
165.0ms8079×body80nan
0.0ms2×body1280valid