Details

Time bar (total: 12.3s)

sample39.0ms

Algorithm
intervals
Results
20.0ms291×body80valid
3.0ms12×body640valid
2.0ms8×body1280valid
1.0ms4×body320valid
1.0ms6×body160valid

simplify596.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
5992
4474
3157
247
121
012

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.4b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-cbrt-cube add-exp-log
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod insert-posit16
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 89
Calls
4 calls:
11.0ms
(- (/ 2.0 3.0) z)
15.0ms
(* (- y x) 6.0)
11.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
42.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series234.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 2.0 3.0) z)
47.0ms
(* (- y x) 6.0)
102.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
62.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify961.0ms

Counts
101 → 101
Iterations
IterNodes
done2001
21633
1454
0160

prune438.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
0.0b
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
0.2b
(* (- z) (* (- y x) 6.0))
0.4b
(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
23×associate-*l*
21×add-cbrt-cube add-exp-log
14×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
11×associate-*l/ add-log-exp
9×times-frac prod-exp cbrt-unprod
8×associate-*r/
6×pow-prod-down
5×flip3-- flip--
4×sum-log flip3-+ frac-add flip-+ insert-posit16
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×frac-times cbrt-undiv +-commutative div-exp associate-*r* *-commutative
1×associate-+l+ neg-mul-1 unsub-neg div-inv
Counts
4 → 99
Calls
4 calls:
27.0ms
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
8.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
38.0ms
(* (- z) (* (- y x) 6.0))
40.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

series252.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))) (* (- z) (* (- y x) 6.0)))
57.0ms
(+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))
71.0ms
(* (- z) (* (- y x) 6.0))
41.0ms
(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify519.0ms

Counts
111 → 111
Iterations
IterNodes
done2002
1621
0197

prune516.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))) (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
0.5b
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
0.5b
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
0.5b
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
37.0ms
(* (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))) (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
3.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
3.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
3.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))

series2.5s

Counts
4 → 12
Calls
4 calls:
526.0ms
(* (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))) (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
870.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
551.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
518.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))

simplify626.0ms

Counts
103 → 103
Iterations
IterNodes
done2000
2810
1292
0132

prune517.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
0.6b
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
0.6b
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
0.6b
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
14×cbrt-div
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ insert-posit16 add-log-exp
Counts
4 → 65
Calls
4 calls:
3.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
4.0ms
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
3.0ms
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
3.0ms
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
475.0ms
(cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0))))
502.0ms
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
488.0ms
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))
509.0ms
(cbrt (cbrt (+ x (* (/ 2.0 3.0) (* (- y x) 6.0)))))

simplify550.0ms

Counts
77 → 77
Iterations
IterNodes
done2001
2555
1209
0101

prune461.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes391.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done36
336
229
125
017

end0.0ms

sample1.3s

Algorithm
intervals
Results
905.0ms9311×body80valid
98.0ms258×body640valid
54.0ms139×body1280valid
42.0ms192×body320valid
19.0ms126×body160valid