Details

Time bar (total: 5.3s)

sample29.0ms

Algorithm
intervals
Results
8.0ms259×body80valid
7.0ms260×body80nan

simplify135.0ms

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 3 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite27.0ms

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)))
12.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms
(* (+ y 0.5) (log y))

series325.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- x (* (+ y 0.5) (log y)))
42.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
242.0ms
(* (+ y 0.5) (log y))

simplify38.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0364458
11327419
25002408

prune179.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series746.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
186.0ms
(cbrt y)
182.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune285.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow (/ 1 y) -1/3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down
11×add-exp-log
9×times-frac
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×pow-exp add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow pow-pow
2×div-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp rec-exp pow-flip pow-plus 1-exp prod-exp *-commutative cbrt-unprod div-inv inv-pow sqr-pow
Counts
4 → 94
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)

series753.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt y) (cbrt y))
180.0ms
(cbrt y)
189.0ms
(cbrt y)
176.0ms
(pow (/ 1 y) -1/3)

simplify227.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0276402
11209361
25002320

prune331.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow y 1/3) (pow y 1/3))
0.6b
(cbrt y)
5.1b
(pow y 1/3)
5.1b
(pow y 1/3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×unpow-prod-down
18×add-exp-log
17×add-cube-cbrt *-un-lft-identity
12×sqr-pow
9×prod-exp unswap-sqr
8×pow-to-exp pow-exp add-cbrt-cube
7×swap-sqr associate-*r* associate-*l*
6×pow1 pow-unpow unpow1/3
4×cbrt-unprod add-log-exp
3×cbrt-prod
2×pow-pow
1×pow2 pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 102
Calls
4 calls:
9.0ms
(* (pow y 1/3) (pow y 1/3))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)
1.0ms
(pow y 1/3)

series690.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (pow y 1/3) (pow y 1/3))
174.0ms
(cbrt y)
167.0ms
(pow y 1/3)
169.0ms
(pow y 1/3)

simplify37.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0188328
1802276
25001265

prune324.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes172.0ms

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

sample800.0ms

Algorithm
intervals
Results
271.0ms8038×body80valid
208.0ms7991×body80nan
0.0ms2×body640valid
0.0ms1×body320valid