Details

Time bar (total: 5.1s)

sample29.0ms

Algorithm
intervals
Results
7.0ms257×body80valid
5.0ms265×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2514
3654
4974
51204
61594
72574
83224
93224

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×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:
8.0ms
(* x (log y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* x (log y))

simplify93.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
099121
1341105
292098
3307498
4500198

prune57.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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*
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:
12.0ms
(* x (log (cbrt y)))
25.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series542.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* x (log (cbrt y)))
98.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
174.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0384753
11636640
25001570

prune396.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))

series852.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
185.0ms
(cbrt y)
243.0ms
(cbrt (cbrt y))
245.0ms
(cbrt (cbrt y))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
075246
1145230
2361222
31382222
45002222

prune324.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

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)

rewrite110.0ms

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×expm1-log1p-u pow-exp log1p-expm1-u
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 fma-def flip3-+ pow1/3 1-exp associate-*r* sum-log *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 230
Calls
4 calls:
40.0ms
(* x (* 2 (log (pow (/ 1 y) -1/3))))
48.0ms
(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
7.0ms
(pow (/ 1 y) -1/3)

series639.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* x (* 2 (log (pow (/ 1 y) -1/3))))
186.0ms
(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
182.0ms
(cbrt y)
182.0ms
(pow (/ 1 y) -1/3)

simplify101.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
010652124
132381870
250011827

prune740.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes106.0ms

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

sample833.0ms

Algorithm
intervals
Results
231.0ms8031×body80valid
168.0ms8079×body80nan
1.0ms2×body1280valid