Details

Time bar (total: 5.3s)

sample30.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
7.0ms257×body80nan
0.0ms1×body160valid

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

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))

series317.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- x (* (+ y 0.5) (log y)))
48.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
232.0ms
(* (+ y 0.5) (log y))

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0364458
11327419
25002408

prune177.0ms

Filtered
71 candidates to 53 candidates (74.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite10.0ms

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:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series928.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt y) (cbrt y))
382.0ms
(cbrt y)
175.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune284.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite14.0ms

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))
1.0ms
(cbrt y)
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)

series703.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt y) (cbrt y))
170.0ms
(cbrt y)
172.0ms
(cbrt y)
165.0ms
(pow (/ 1 y) -1/3)

simplify48.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0276402
11209361
25002320

prune329.0ms

Filtered
106 candidates to 68 candidates (64.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 0.5))
0.4b
(* (cbrt (+ y 0.5)) (log y))
0.4b
(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
0.7b
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
40×*-un-lft-identity
36×associate-*l/
35×flip3-+ flip-+
34×add-sqr-sqrt
33×cbrt-prod
32×frac-times
26×pow1
22×add-cube-cbrt
20×add-exp-log
18×log-prod
15×distribute-rgt-in distribute-lft-in associate-*l*
12×associate-*r*
11×pow-prod-down add-cbrt-cube
10×associate-*r/ prod-exp cbrt-unprod
9×swap-sqr
8×distribute-lft-out
7×pow1/3
6×unswap-sqr
4×add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus log-pow
Counts
4 → 159
Calls
4 calls:
2.0ms
(cbrt (+ y 0.5))
12.0ms
(* (cbrt (+ y 0.5)) (log y))
45.0ms
(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
19.0ms
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ y 0.5))
110.0ms
(* (cbrt (+ y 0.5)) (log y))
238.0ms
(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
100.0ms
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify88.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08431999
130451693
250011573

prune393.0ms

Filtered
171 candidates to 97 candidates (56.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes127.0ms

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

sample827.0ms

Algorithm
intervals
Results
273.0ms8030×body80valid
214.0ms7932×body80nan
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid