Details

Time bar (total: 7.7s)

sample34.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
7.0ms282×body80nan

simplify148.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949566
1050016
done50016

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)))
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))

rewrite169.0ms

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:
6.0ms
(- x (* (+ y 0.5) (log y)))
116.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
20.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
24.0ms
(* (+ y 0.5) (log y))

series380.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- x (* (+ y 0.5) (log y)))
53.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
50.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
238.0ms
(* (+ y 0.5) (log y))

simplify51.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0446640
11624599
25001591
done5001591

prune215.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ 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)

rewrite76.0ms

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:
38.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
30.0ms
(+ (* (+ 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:
453.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
772.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
185.0ms
(cbrt y)
183.0ms
(cbrt y)

simplify74.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06401101
12507971
25003939
done5003939

prune396.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 45
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(cbrt (* (cbrt y) (cbrt y)))
2.0ms
(cbrt (cbrt y))

series898.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
188.0ms
(cbrt y)
274.0ms
(cbrt (* (cbrt y) (cbrt y)))
251.0ms
(cbrt (cbrt y))

simplify110.0ms

Counts
57 → 57
Iterations

Useful iterations: 4 (106.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180
done5001180

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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)
5.0b
(pow y 1/3)

rewrite41.0ms

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:
19.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* 0.5 (log (cbrt y))))
17.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series1.7s

Counts
4 → 12
Calls
4 calls:
898.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* 0.5 (log (cbrt y))))
438.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
184.0ms
(cbrt y)
177.0ms
(pow y 1/3)

simplify63.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0434675
11846595
25001573
done5001573

prune320.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136
done136

end0.0ms

sample936.0ms

Algorithm
intervals
Results
264.0ms8028×body80valid
211.0ms8110×body80nan