Details

Time bar (total: 6.1s)

sample29.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
6.0ms251×body80nan

simplify136.0ms

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: 0.1b

localize13.0ms

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))

rewrite88.0ms

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:
61.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
10.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
12.0ms
(* (+ y 0.5) (log y))

series369.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
40.0ms
(- x (* (+ y 0.5) (log y)))
41.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
240.0ms
(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0446640
11624599
25001591

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite41.0ms

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:
19.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
16.0ms
(+ (* (+ 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:
465.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
769.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
172.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06401104
12507971
25003939

prune420.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))

series849.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
176.0ms
(cbrt y)
238.0ms
(cbrt (cbrt y))
249.0ms
(cbrt (cbrt y))

simplify51.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
071226
1141210
2357202
31377202
45001202

prune329.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
0.5b
(cbrt (* (+ y 0.5) (log y)))
0.5b
(cbrt (* (+ y 0.5) (log y)))
0.5b
(cbrt (* (+ y 0.5) (log y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
10.0ms
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
7.0ms
(cbrt (* (+ y 0.5) (log y)))
4.0ms
(cbrt (* (+ y 0.5) (log y)))
4.0ms
(cbrt (* (+ y 0.5) (log y)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
79.0ms
(cbrt (* (+ y 0.5) (log y)))
74.0ms
(cbrt (* (+ y 0.5) (log y)))
81.0ms
(cbrt (* (+ y 0.5) (log y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06581535
130561457
250011426

prune342.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes128.0ms

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

sample801.0ms

Algorithm
intervals
Results
262.0ms8036×body80valid
214.0ms8155×body80nan