Details

Time bar (total: 7.8s)

sample33.0ms

Algorithm
intervals
Results
9.0ms270×body80nan
9.0ms260×body80valid

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

series309.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (* (+ y 0.5) (log y)))
43.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
230.0ms
(* (+ y 0.5) (log y))

simplify38.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0364458
11327419
25002408

prune175.0ms

Filtered
71 candidates to 53 candidates (74.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite37.0ms

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:
17.0ms
(* (+ 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)

series1.6s

Counts
4 → 12
Calls
4 calls:
446.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
766.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
177.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06401101
12507971
25003939

prune395.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (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)))
0.6b
(cbrt y)
5.0b
(pow (/ 1 y) -1/3)

rewrite32.0ms

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:
10.0ms
(* (log (pow (/ 1 y) -1/3)) (+ y 0.5))
14.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow (/ 1 y) -1/3)) (+ y 0.5)))
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)

series2.3s

Counts
4 → 12
Calls
4 calls:
408.0ms
(* (log (pow (/ 1 y) -1/3)) (+ y 0.5))
1.6s
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (pow (/ 1 y) -1/3)) (+ y 0.5)))
176.0ms
(cbrt y)
197.0ms
(pow (/ 1 y) -1/3)

simplify99.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07221004
13256865
25001809

prune434.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series776.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (cbrt y))
183.0ms
(cbrt y)
174.0ms
(cbrt y)
177.0ms
(cbrt y)

simplify49.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
071191
1141177
2357169
31377169
45001169

prune278.0ms

Filtered
59 candidates to 52 candidates (88.1%)
Pruning

6 alts after pruning (3 fresh and 3 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
02814
12814

end0.0ms

sample806.0ms

Algorithm
intervals
Results
271.0ms8036×body80valid
215.0ms8008×body80nan
0.0ms1×body640valid