Details

Time bar (total: 7.6s)

sample52.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
16.0ms268×body80nan

simplify143.0ms

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: 0.2b

localize9.0ms

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))

rewrite81.0ms

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)))
54.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
12.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms
(* (+ y 0.5) (log y))

series360.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- x (* (+ y 0.5) (log y)))
51.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
41.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
233.0ms
(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0446640
11624599
25001591

prune228.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize17.0ms

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)

rewrite38.0ms

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))))
15.0ms
(+ (* (+ 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:
443.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
766.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
188.0ms
(cbrt y)
177.0ms
(cbrt y)

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06401101
12507971
25003939

prune422.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)
5.1b
(pow y 1/3)

rewrite21.0ms

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:
10.0ms
(+ (* (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)))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series1.6s

Counts
4 → 12
Calls
4 calls:
857.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* 0.5 (log (cbrt y))))
427.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
174.0ms
(cbrt y)
168.0ms
(pow y 1/3)

simplify61.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0434675
11846595
25001573

prune333.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b
(* (sqrt (+ y 0.5)) (log y))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
21×add-sqr-sqrt
18×log-prod add-log-exp
15×distribute-rgt-in add-cube-cbrt distribute-lft-in
14×sqrt-div associate-*l*
12×pow1
11×add-exp-log add-cbrt-cube
10×associate-*l/
9×sqrt-prod
8×flip3-+ flip-+
5×diff-log associate-*r*
4×frac-times pow-prod-down prod-exp sum-log cbrt-unprod distribute-lft-out
2×associate-+l- sub-neg associate-+l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative associate--l- flip3-- associate--l+ log-pow flip-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
53.0ms
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
9.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
30.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
13.0ms
(* (sqrt (+ y 0.5)) (log y))

series400.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
41.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
243.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
60.0ms
(* (sqrt (+ y 0.5)) (log y))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05991174
12114989
25002960

prune280.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes151.0ms

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
0186
1206
2206

end0.0ms

sample1.5s

Algorithm
intervals
Results
659.0ms8036×body80valid
498.0ms8084×body80nan
0.0ms1×body160valid