Details

Time bar (total: 5.9s)

sample29.0ms

Algorithm
intervals
Results
9.0ms259×body80valid
6.0ms237×body80nan

simplify133.0ms

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 4 expressions with local error:

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

rewrite23.0ms

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:
3.0ms
(- x (* (+ y 0.5) (log y)))
7.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series370.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- x (* (+ y 0.5) (log y)))
56.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
45.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
226.0ms
(* (+ y 0.5) (log y))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0446640
11624599
25001591

prune213.0ms

Filtered
93 candidates to 69 candidates (74.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
12×*-un-lft-identity
9×add-sqr-sqrt
6×pow1
5×add-exp-log add-cube-cbrt diff-log add-cbrt-cube
4×associate-*r* associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ sum-log flip-- distribute-lft-out associate--r+ distribute-lft-out--
1×associate--l- associate-+r- flip3-+ pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
7.0ms
(- (+ x (- y (* (log y) (+ 0.5 y)))) z)
3.0ms
(- y (* (log y) (+ 0.5 y)))
6.0ms
(* (log y) (+ 0.5 y))

series718.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (+ x (- y (* (log y) (+ 0.5 y)))) z)
426.0ms
(- y (* (log y) (+ 0.5 y)))
238.0ms
(* (log y) (+ 0.5 y))

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0347441
11404403
25002401

prune156.0ms

Filtered
66 candidates to 46 candidates (69.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.2b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite27.0ms

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:
8.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
11.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.6s

Counts
4 → 12
Calls
4 calls:
450.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
754.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
174.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06401101
12507971
25003939

prune399.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series694.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt y)
176.0ms
(cbrt y)
174.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify122.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune285.0ms

Filtered
56 candidates to 48 candidates (85.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 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

sample815.0ms

Algorithm
intervals
Results
278.0ms8038×body80valid
221.0ms8005×body80nan