Details

Time bar (total: 5.1s)

sample36.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
7.0ms262×body80nan

simplify136.0ms

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 4 expressions with local error:

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

rewrite174.0ms

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:
119.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms
(- x (* (+ y 0.5) (log y)))
23.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
23.0ms
(* (+ y 0.5) (log y))

series358.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
39.0ms
(- x (* (+ y 0.5) (log y)))
38.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
235.0ms
(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0446640
11624599
25001591

prune230.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 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)

rewrite16.0ms

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:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series715.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt y) (cbrt y))
182.0ms
(cbrt y)
173.0ms
(cbrt y)
169.0ms
(cbrt y)

simplify86.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune285.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
25×*-un-lft-identity
23×add-sqr-sqrt
19×add-cube-cbrt
14×sqrt-div associate-*l*
12×pow1 associate--r+
11×add-exp-log add-cbrt-cube add-log-exp
10×associate-*l/
9×sqrt-prod
8×flip3-+ flip-+
5×associate-*r*
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×sub-neg associate-+l+ diff-log associate-*r/ sum-log *-commutative unswap-sqr
1×+-commutative associate-+l- flip3-- log-pow flip--
Counts
4 → 114
Calls
4 calls:
8.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
20.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
27.0ms
(* (sqrt (+ y 0.5)) (log y))
54.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

series545.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
213.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
56.0ms
(* (sqrt (+ y 0.5)) (log y))
242.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06061133
12148969
25001942

prune294.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (+ y 0.5))) (* (sqrt (+ y 0.5)) (log y)))
0.4b
(* (sqrt (+ y 0.5)) (log y))
0.6b
(sqrt (sqrt (+ y 0.5)))
0.6b
(sqrt (sqrt (+ y 0.5)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
40×sqrt-prod
28×add-sqr-sqrt *-un-lft-identity sqrt-div
20×add-cube-cbrt
18×log-prod
17×associate-*l*
16×pow1
15×distribute-rgt-in distribute-lft-in
11×add-exp-log add-cbrt-cube
10×associate-*l/
9×flip3-+ flip-+
8×sqrt-pow1
5×associate-*r*
4×frac-times rem-sqrt-square pow1/2 pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×associate-*r/ *-commutative unswap-sqr
1×log-pow
Counts
4 → 121
Calls
4 calls:
60.0ms
(* (sqrt (sqrt (+ y 0.5))) (* (sqrt (+ y 0.5)) (log y)))
26.0ms
(* (sqrt (+ y 0.5)) (log y))
8.0ms
(sqrt (sqrt (+ y 0.5)))
8.0ms
(sqrt (sqrt (+ y 0.5)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (sqrt (sqrt (+ y 0.5))) (* (sqrt (+ y 0.5)) (log y)))
57.0ms
(* (sqrt (+ y 0.5)) (log y))
82.0ms
(sqrt (sqrt (+ y 0.5)))
80.0ms
(sqrt (sqrt (+ y 0.5)))

simplify66.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06751294
123851166
250011089

prune402.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01914
11914

end0.0ms

sample948.0ms

Algorithm
intervals
Results
272.0ms8045×body80valid
208.0ms8116×body80nan
0.0ms1×body1280valid
0.0ms1×body320valid