Details

Time bar (total: 8.1s)

sample33.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
8.0ms297×body80nan

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949566
1050016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
8.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
9.0ms
(* (+ y 0.5) (log y))

series374.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- x (* (+ y 0.5) (log y)))
56.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
43.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
238.0ms
(* (+ y 0.5) (log y))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0446640
11624599
25001591

prune226.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
11×*-un-lft-identity
8×add-sqr-sqrt
7×pow1
6×add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*r* associate-*l*
3×distribute-rgt-in sub-neg distribute-lft-in diff-log
2×associate-+r+ flip3-- flip3-+ associate-*r/ associate--l+ sum-log flip-- flip-+ distribute-lft-out associate--r+
1×+-commutative associate-+r- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 69
Calls
4 calls:
5.0ms
(+ x (- y (* (log y) (+ 0.5 y))))
7.0ms
(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
6.0ms
(* (log y) (+ 0.5 y))
3.0ms
(- y (* (log y) (+ 0.5 y)))

series776.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ x (- y (* (log y) (+ 0.5 y))))
57.0ms
(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
244.0ms
(* (log y) (+ 0.5 y))
432.0ms
(- y (* (log y) (+ 0.5 y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0413541
11784500
25001498

prune209.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite32.0ms

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×associate-*r/ associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
9.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.7s

Counts
4 → 12
Calls
4 calls:
466.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
780.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
310.0ms
(cbrt y)
181.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06401101
12507971
25003939

prune412.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (pow (/ 1 y) -1/3)) (+ y 0.5))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow (/ 1 y) -1/3)) (+ y 0.5)))
0.5b
(cbrt y)
5.1b
(pow (/ 1 y) -1/3)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
26×distribute-rgt-in distribute-lft-in
25×add-sqr-sqrt *-un-lft-identity
24×associate-+l+ log-prod
23×add-cube-cbrt
15×cbrt-prod
13×unpow-prod-down
11×add-exp-log
9×times-frac
8×pow1
6×flip3-+ associate-*r/ add-cbrt-cube flip-+ add-log-exp
4×associate-*r* associate-*l* associate-*l/ frac-add pow-exp
3×pow-unpow pow-pow
2×associate-+r+ div-exp
1×+-commutative pow-to-exp rec-exp pow-flip pow1/3 1-exp pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod div-inv distribute-lft-out inv-pow unswap-sqr sqr-pow
Counts
4 → 108
Calls
4 calls:
6.0ms
(* (log (pow (/ 1 y) -1/3)) (+ y 0.5))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow (/ 1 y) -1/3)) (+ y 0.5)))
1.0ms
(cbrt y)
5.0ms
(pow (/ 1 y) -1/3)

series2.3s

Counts
4 → 12
Calls
4 calls:
426.0ms
(* (log (pow (/ 1 y) -1/3)) (+ y 0.5))
1.5s
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow (/ 1 y) -1/3)) (+ y 0.5)))
180.0ms
(cbrt y)
176.0ms
(pow (/ 1 y) -1/3)

simplify108.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07221004
13256865
25001809

prune442.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes89.0ms

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
0187
1207
2207

end0.0ms

sample838.0ms

Algorithm
intervals
Results
286.0ms8033×body80valid
212.0ms7949×body80nan
0.0ms1×body640valid