Details

Time bar (total: 10.0s)

sample47.0ms

Algorithm
intervals
Results
17.0ms263×body80valid
15.0ms248×body80nan

simplify140.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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:
55.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
9.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms
(* (+ y 0.5) (log y))

series382.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
37.0ms
(- x (* (+ y 0.5) (log y)))
47.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
243.0ms
(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0446640
11624599
25001591

prune217.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 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)

rewrite41.0ms

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:
20.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
14.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.8s

Counts
4 → 12
Calls
4 calls:
451.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
963.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
181.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06401101
12507971
25003939

prune391.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (log (cbrt y)) (+ y 0.5))
0.3b
(+ (* (+ y 0.5) (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
5.2b
(pow (/ 1 y) -1/3)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
70×distribute-rgt-in distribute-lft-in
68×associate-+l+ log-prod
65×unpow-prod-down
49×add-sqr-sqrt *-un-lft-identity
47×add-cube-cbrt
45×times-frac
11×add-exp-log
9×pow1
6×flip3-+ associate-*r/ add-cbrt-cube flip-+ add-log-exp
5×associate-*l* div-inv sqr-pow
4×associate-*r* associate-*l/ frac-add pow-exp
3×cbrt-prod pow-unpow pow-pow
2×associate-+r+ pow1/3 div-exp log-pow
1×+-commutative pow-to-exp rec-exp pow-flip 1-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out inv-pow unswap-sqr
Counts
4 → 153
Calls
4 calls:
10.0ms
(* (log (cbrt y)) (+ y 0.5))
31.0ms
(+ (* (+ y 0.5) (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)

series2.3s

Counts
4 → 12
Calls
4 calls:
442.0ms
(* (log (cbrt y)) (+ y 0.5))
1.5s
(+ (* (+ y 0.5) (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) (+ y 0.5)))
179.0ms
(cbrt y)
178.0ms
(pow (/ 1 y) -1/3)

simplify125.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
011011420
140861312
250031254

prune645.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* 0.5 (log (cbrt y))))
0.2b
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
0.6b
(cbrt y)
5.2b
(pow y 1/3)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×associate-+r+ log-prod
9×cbrt-prod
8×distribute-rgt-in distribute-lft-in
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
4×associate-*l*
3×unpow-prod-down pow-unpow associate-*r*
2×associate-+l+ flip3-+ associate-*r/ flip-+
1×+-commutative pow-to-exp pow-pow unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 77
Calls
4 calls:
6.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* 0.5 (log (cbrt y))))
7.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series1.6s

Counts
4 → 12
Calls
4 calls:
851.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* 0.5 (log (cbrt y))))
428.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
186.0ms
(cbrt y)
173.0ms
(pow y 1/3)

simplify64.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0434675
11846595
25001573

prune328.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes162.0ms

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

sample1.3s

Algorithm
intervals
Results
561.0ms8034×body80valid
401.0ms7730×body80nan
0.0ms2×body640valid
0.0ms2×body160valid
0.0ms1×body1280valid