Details

Time bar (total: 18.6s)

sample56.0ms

Algorithm
intervals
Results
19.0ms300×body80valid
9.0ms10×body640valid
2.0ms6×body1280valid
1.0ms7×body320valid
0.0ms4×body160valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5003
62115
5992
4474
3157
247
121
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

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
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
16.0ms
(* (- y x) 6.0)
14.0ms
(- (/ 2.0 3.0) z)
13.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
73.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series244.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (- y x) 6.0)
22.0ms
(- (/ 2.0 3.0) z)
104.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
67.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.7s

Counts
97 → 97
Iterations
IterNodes
done5006
21621
1450
0156

prune500.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 sub-neg add-cbrt-cube add-exp-log
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×associate-*r* add-cube-cbrt
5×difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 97
Calls
4 calls:
14.0ms
(- (/ 2.0 3.0) z)
52.0ms
(* 6.0 (- (/ 2.0 3.0) z))
11.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
66.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (/ 2.0 3.0) z)
43.0ms
(* 6.0 (- (/ 2.0 3.0) z))
69.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
50.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.4s

Counts
109 → 109
Iterations
IterNodes
done5010
21675
1463
0163

prune555.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))
0.1b
(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
0.3b
(* (* (- y x) 6.0) (- z))
0.3b
(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
23×associate-*r*
21×add-cbrt-cube add-exp-log
18×associate-*l/
14×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
11×add-log-exp
9×times-frac prod-exp cbrt-unprod
6×pow-prod-down
5×flip3-- flip--
4×sum-log flip3-+ frac-add flip-+
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×frac-times cbrt-undiv +-commutative div-exp associate-*l* *-commutative
1×associate-+l+ neg-mul-1 unsub-neg associate-*r/ div-inv
Counts
4 → 95
Calls
4 calls:
5.0ms
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))
24.0ms
(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
28.0ms
(* (* (- y x) 6.0) (- z))
33.0ms
(* (* (- y x) 6.0) (/ 2.0 3.0))

series198.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ x (* (* (- y x) 6.0) (/ 2.0 3.0)))
81.0ms
(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
38.0ms
(* (* (- y x) 6.0) (- z))
33.0ms
(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.9s

Counts
107 → 107
Iterations
IterNodes
done5003
22491
1659
0204

prune705.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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 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 → 87
Calls
4 calls:
36.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
2.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
2.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
2.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

series2.7s

Counts
4 → 12
Calls
4 calls:
985.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
514.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
564.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
620.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify3.0s

Counts
99 → 99
Iterations
IterNodes
done5000
34822
21290
1495
0196

prune704.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes399.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
895.0ms9465×body80valid
75.0ms235×body640valid
41.0ms155×body1280valid
22.0ms171×body320valid
11.0ms124×body160valid