Details

Time bar (total: 4.9s)

sample33.0ms

Algorithm
intervals
Results
10.0ms259×body80valid
7.0ms263×body80nan

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
12×log-prod
10×add-log-exp
6×pow1 distribute-rgt-in distribute-lft-in prod-diff associate--r+
5×add-exp-log associate-+l+ add-cbrt-cube
4×associate-*r* associate-*l*
3×expm1-log1p-u fma-def fma-neg log1p-expm1-u
2×sub-neg flip3-+ diff-log associate-*l/ sum-log flip-+ distribute-lft-out
1×+-commutative associate-+l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 80
Calls
3 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms
(* (+ y 0.5) (log y))

series322.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- x (* (+ y 0.5) (log y)))
49.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
235.0ms
(* (+ y 0.5) (log y))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0404561
11555512
25001494

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (fma (- (+ y 0.5)) (log y) y))
0.2b
(fma (- (+ y 0.5)) (log y) y)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt fma-def
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×+-commutative associate-+r+ flip3-+ sum-log flip-+ distribute-lft-out
Counts
2 → 28
Calls
2 calls:
3.0ms
(+ x (fma (- (+ y 0.5)) (log y) y))
0.0ms
(fma (- (+ y 0.5)) (log y) y)

series330.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (fma (- (+ y 0.5)) (log y) y))
292.0ms
(fma (- (+ y 0.5)) (log y) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0175225
1458205
22409202
35003198

prune115.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (cbrt y)) (+ y 0.5))
0.2b
(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
7×pow1
6×add-exp-log cbrt-prod add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×fma-neg pow1/3 prod-diff
2×distribute-rgt-in distribute-lft-in associate-*r/ log-pow associate--r+
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
4 → 76
Calls
4 calls:
14.0ms
(* (log (cbrt y)) (+ y 0.5))
3.0ms
(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series947.0ms

Counts
4 → 12
Calls
4 calls:
443.0ms
(* (log (cbrt y)) (+ y 0.5))
143.0ms
(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (log (cbrt y)) (+ y 0.5)))
180.0ms
(cbrt y)
181.0ms
(cbrt y)

simplify47.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0334658
11322596
25002567

prune324.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 52
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series923.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
173.0ms
(cbrt y)
382.0ms
(cbrt y)
191.0ms
(cbrt y)

simplify133.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune295.0ms

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
0156
1166
2166

end0.0ms

sample861.0ms

Algorithm
intervals
Results
304.0ms8040×body80valid
225.0ms7969×body80nan
0.0ms1×body320valid