Details

Time bar (total: 4.0s)

sample31.0ms

Algorithm
intervals
Results
7.0ms261×body80valid
5.0ms264×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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x (log y)) z) y)
0.0b
(- (* x (log y)) z)
0.2b
(* x (log y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×associate--l+
22×*-un-lft-identity
20×add-cube-cbrt
18×log-prod
15×prod-diff
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×pow1
5×add-exp-log add-cbrt-cube
4×fma-neg diff-log associate-*r*
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
58.0ms
(- (- (* x (log y)) z) y)
10.0ms
(- (* x (log y)) z)
9.0ms
(* x (log y))

series130.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (- (* x (log y)) z) y)
57.0ms
(- (* x (log y)) z)
40.0ms
(* x (log y))

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0365609
11312480
25001447

prune202.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (log y)) (+ z y))
0.2b
(* x (log y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
7×add-log-exp
6×distribute-rgt-in distribute-lft-in associate--l+
5×pow1
4×add-exp-log associate-*r* prod-diff add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u diff-log log1p-expm1-u
1×sub-neg flip3-- fma-neg pow-prod-down prod-exp sum-log log-pow *-commutative flip-- cbrt-unprod distribute-lft-out associate--r+ unswap-sqr
Counts
2 → 54
Calls
2 calls:
21.0ms
(- (* x (log y)) (+ z y))
9.0ms
(* x (log y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (* x (log y)) (+ z y))
37.0ms
(* x (log y))

simplify114.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0266325
1999279
24710259
35001259

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite45.0ms

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)))
26.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series547.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* x (log (cbrt y)))
101.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
175.0ms
(cbrt y)
176.0ms
(cbrt y)

simplify53.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0384753
11636640
25001584

prune418.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.2b
(pow y 1/3)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod 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 → 59
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series723.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
180.0ms
(cbrt y)
189.0ms
(cbrt y)
175.0ms
(pow y 1/3)

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0101176
1292150
21046142
35001137

prune337.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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
094
194

end0.0ms

sample841.0ms

Algorithm
intervals
Results
228.0ms8031×body80valid
160.0ms8048×body80nan