Details

Time bar (total: 13.2s)

sample64.0ms

Algorithm
intervals
Results
22.0ms291×body80valid
4.0ms15×body640valid
2.0ms5×body1280valid
1.0ms7×body320valid
1.0ms4×body160valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
24813
316013
452213
5165813
done500013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
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 flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
34.0ms
(- (/ 2.0 3.0) z)
35.0ms
(* (- y x) 6.0)
13.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
98.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series198.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
39.0ms
(* (- y x) 6.0)
82.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
55.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.4s

Counts
97 → 97
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01561335
14491273
223041169
done50021163

prune370.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log associate-*l* add-cbrt-cube
10×associate-*l/
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
5×difference-of-squares
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
18.0ms
(- (/ 2.0 3.0) z)
59.0ms
(* (- (/ 2.0 3.0) z) 6.0)
21.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
126.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series202.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (/ 2.0 3.0) z)
44.0ms
(* (- (/ 2.0 3.0) z) 6.0)
78.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
57.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify755.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (193.0ms)

IterNodesCost
01481272
14011220
216371102
done50011102

prune440.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 4.0 (* 6.0 z))
0.0b
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.1b
(* (- y x) (- 4.0 (* 6.0 z)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×flip3-- *-un-lft-identity flip-- add-log-exp
5×pow1 add-exp-log add-cube-cbrt sub-neg associate-*l* add-cbrt-cube
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in
3×associate-*r*
2×associate-*r/ associate-*l/
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
8.0ms
(- 4.0 (* 6.0 z))
10.0ms
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
58.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- 4.0 (* 6.0 z))
78.0ms
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
70.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

simplify660.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
0115969
1324920
21382860
done5002860

prune341.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
46.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
5.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
5.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
5.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

series2.7s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
587.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
528.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
598.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify994.0ms

Counts
99 → 99
Iterations

Useful iterations: done (988.0ms)

IterNodesCost
01963906
14993627
218383404
done50013099

prune525.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes420.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample1.5s

Algorithm
intervals
Results
945.0ms9303×body80valid
46.0ms253×body640valid
42.0ms113×body160valid
34.0ms153×body1280valid
27.0ms204×body320valid