Details

Time bar (total: 4.8s)

sample33.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
9.0ms297×body80nan

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (log y) (+ y 0.5) z)
0.1b
(- (fma (log y) (+ y 0.5) z) y)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt prod-diff
4×add-log-exp
3×fma-neg
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (log y) (+ y 0.5) z)
3.0ms
(- (fma (log y) (+ y 0.5) z) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(fma (log y) (+ y 0.5) z)
45.0ms
(- (fma (log y) (+ y 0.5) z) y)

simplify134.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0214366
1823278
24981260
35001236

prune150.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

series318.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- x (* (+ y 0.5) (log y)))
47.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
235.0ms
(* (+ y 0.5) (log y))

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0404561
11555512
25001494

prune229.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

series304.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (fma (- (+ y 0.5)) (log y) y))
268.0ms
(fma (- (+ y 0.5)) (log y) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0175225
1458205
22408202
35002198

prune108.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l* frac-add log1p-expm1-u
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative fma-def associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 117
Calls
4 calls:
21.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
15.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.6s

Counts
4 → 12
Calls
4 calls:
455.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
760.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
177.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify75.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06811127
12712983
25001947

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes148.0ms

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
0136
1136

end0.0ms

sample885.0ms

Algorithm
intervals
Results
296.0ms8044×body80valid
249.0ms8256×body80nan