Details

Time bar (total: 8.4s)

sample30.0ms

Algorithm
intervals
Results
9.0ms259×body80valid
7.0ms263×body80nan

simplify148.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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 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))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt
6×pow1 distribute-rgt-in distribute-lft-in associate--r+
5×add-exp-log add-cbrt-cube
4×associate-*r* associate-*l*
2×sub-neg associate-+l+ 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 → 62
Calls
3 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
9.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms
(* (+ y 0.5) (log y))

series336.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- x (* (+ y 0.5) (log y)))
44.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
247.0ms
(* (+ y 0.5) (log y))

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0364458
11327419
25002408

prune188.0ms

Pruning

8 alts after pruning (7 fresh and 1 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)

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:
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)

series1.7s

Counts
4 → 12
Calls
4 calls:
484.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
815.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
187.0ms
(cbrt y)
185.0ms
(cbrt y)

simplify74.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06401101
12507971
25003939

prune427.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)
5.0b
(pow y 1/3)

rewrite18.0ms

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)))
1.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series1.9s

Counts
4 → 12
Calls
4 calls:
1.1s
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* 0.5 (log (cbrt y))))
460.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
186.0ms
(cbrt y)
184.0ms
(pow y 1/3)

simplify63.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0434677
11846595
25001573

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (pow (pow y (sqrt 1/3)) (sqrt 1/3))) (+ y (* (+ y 0.5) 2)))
0.6b
(cbrt y)
5.1b
(pow (pow y (sqrt 1/3)) (sqrt 1/3))
5.8b
(pow y (sqrt 1/3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×unpow-prod-down
12×pow-unpow
9×add-exp-log
7×pow1
6×sqrt-prod add-cbrt-cube
5×pow-exp
4×associate-*l* add-log-exp
3×cbrt-prod pow-to-exp associate-*r* sqr-pow
2×pow-pow associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow1/3 pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 80
Calls
4 calls:
8.0ms
(* (log (pow (pow y (sqrt 1/3)) (sqrt 1/3))) (+ y (* (+ y 0.5) 2)))
4.0ms
(cbrt y)
3.0ms
(pow (pow y (sqrt 1/3)) (sqrt 1/3))
2.0ms
(pow y (sqrt 1/3))

series1.6s

Counts
4 → 12
Calls
4 calls:
854.0ms
(* (log (pow (pow y (sqrt 1/3)) (sqrt 1/3))) (+ y (* (+ y 0.5) 2)))
184.0ms
(cbrt y)
393.0ms
(pow (pow y (sqrt 1/3)) (sqrt 1/3))
205.0ms
(pow y (sqrt 1/3))

simplify61.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0428631
12025496
25001458

prune325.0ms

Pruning

6 alts after pruning (4 fresh and 2 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

sample788.0ms

Algorithm
intervals
Results
263.0ms8040×body80valid
213.0ms7969×body80nan
0.0ms1×body320valid