Details

Time bar (total: 5.5s)

sample30.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
7.0ms247×body80nan

simplify149.0ms

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

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))

rewrite78.0ms

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:
51.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
8.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
13.0ms
(* (+ y 0.5) (log y))

series365.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
36.0ms
(- x (* (+ y 0.5) (log y)))
42.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
232.0ms
(* (+ y 0.5) (log y))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0446640
11624599
25001591

prune230.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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)

rewrite9.0ms

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:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series744.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt y) (cbrt y))
188.0ms
(cbrt y)
180.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune300.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series743.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt y) (cbrt y))
178.0ms
(cbrt y)
186.0ms
(cbrt y)
175.0ms
(pow y 1/3)

simplify150.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0173288
1778209
24922194
35003194

prune338.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* 1 (pow y 1/3)) (cbrt y))
0.6b
(cbrt y)
5.1b
(pow y 1/3)
5.1b
(pow y 1/3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
13×prod-exp
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow1 add-cbrt-cube
6×cbrt-prod unpow-prod-down pow-unpow associate-*r*
5×cbrt-unprod
4×pow-to-exp pow-exp add-log-exp
3×unpow1/3 1-exp
2×pow-pow sqr-pow
1×pow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 73
Calls
4 calls:
9.0ms
(* (* 1 (pow y 1/3)) (cbrt y))
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)
1.0ms
(pow y 1/3)

series740.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (* 1 (pow y 1/3)) (cbrt y))
178.0ms
(cbrt y)
183.0ms
(pow y 1/3)
174.0ms
(pow y 1/3)

simplify98.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0228269
1798184
23831172
35001160

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes179.0ms

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
02615
12815
22815

end0.0ms

sample853.0ms

Algorithm
intervals
Results
289.0ms8035×body80valid
229.0ms8042×body80nan
0.0ms2×body640valid
0.0ms1×body1280valid