Details

Time bar (total: 6.9s)

sample68.0ms

Algorithm
intervals
Results
26.0ms768×body80nan
11.0ms258×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.3b
(* x (log y))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
22×associate-+l+
21×add-sqr-sqrt
17×add-cube-cbrt associate--l+
15×log-prod
12×prod-diff
8×add-log-exp
7×pow1
6×distribute-rgt-in distribute-lft-in
5×fma-def
4×add-exp-log associate-*r* add-cbrt-cube distribute-lft-out
3×associate-+r+ diff-log associate-*l* sum-log log-pow distribute-lft-out--
2×expm1-log1p-u sub-neg log1p-expm1-u
1×+-commutative associate-+l- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
2 → 77
Calls
2 calls:
81.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (- (- (* x (log y)) y) z) (log t))
39.0ms
(* x (log y))

simplify134.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0359500
11298392
24987361
35001361

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:
5.0ms
(* x (log (cbrt y)))
13.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series553.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* x (log (cbrt y)))
96.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
190.0ms
(cbrt y)
177.0ms
(cbrt y)

simplify56.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0384753
11636640
25001570

prune494.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (log (pow y 1/3)) 2 (log (sqrt (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow
2×pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp fma-udef sqr-pow
Counts
4 → 56
Calls
4 calls:
0.0ms
(fma (log (pow y 1/3)) 2 (log (sqrt (cbrt y))))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
540.0ms
(fma (log (pow y 1/3)) 2 (log (sqrt (cbrt y))))
184.0ms
(cbrt y)
172.0ms
(cbrt y)
166.0ms
(pow y 1/3)

simplify64.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0163247
1465213
21803197
35002189

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))
5.0b
(pow y 1/3)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 60
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
3.0ms
(cbrt (* (cbrt y) (cbrt y)))
1.0ms
(pow y 1/3)

series886.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
250.0ms
(cbrt (cbrt y))
277.0ms
(cbrt (* (cbrt y) (cbrt y)))
176.0ms
(pow y 1/3)

simplify60.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0171244
1497214
21760205
35001200

prune415.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes189.0ms

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
02316
12316

end0.0ms

sample2.0s

Algorithm
intervals
Results
814.0ms24010×body80nan
339.0ms8021×body80valid
0.0ms1×body1280valid