Details

Time bar (total: 27.5s)

sample49.0ms

Algorithm
intervals
Results
20.0ms300×body80valid
2.0ms7×body1280valid
1.0ms5×body640valid
1.0ms5×body320valid
0.0ms3×body160valid

simplify13.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
24813
316013
442113
591413
6161213
7256413
8365013
9463313
10496713
done500013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

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:
29.0ms
(- (/ 2.0 3.0) z)
20.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
37.0ms
(* (- y x) 6.0)
119.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series228.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
96.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
43.0ms
(* (- y x) 6.0)
67.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01561335
14341273
217951163
done50021157

prune219.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite315.0ms

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:
30.0ms
(- (/ 2.0 3.0) z)
98.0ms
(* (- (/ 2.0 3.0) z) 6.0)
30.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
152.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series235.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
47.0ms
(* (- (/ 2.0 3.0) z) 6.0)
95.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
72.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify1.3s

Counts
89 → 89
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01481272
13961220
214801102
done50001096

prune306.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(* (- y x) 6.0)
0.3b
(* (- z) (* (- y x) 6.0))
0.4b
(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
22×*-un-lft-identity
21×associate-*l*
20×associate-*r*
18×pow1 add-cube-cbrt
12×associate-*l/
11×prod-exp cbrt-unprod
9×times-frac
8×pow-prod-down
5×flip3-- flip--
4×*-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in associate-*r/
2×cbrt-undiv frac-times div-exp distribute-lft-out-- difference-of-squares unswap-sqr
1×distribute-lft-neg-out neg-mul-1 div-inv
Counts
4 → 109
Calls
4 calls:
22.0ms
(* (- y x) 6.0)
41.0ms
(* (- y x) 6.0)
55.0ms
(* (- z) (* (- y x) 6.0))
59.0ms
(* (* (- y x) 6.0) (/ 2.0 3.0))

series230.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (- y x) 6.0)
58.0ms
(* (- y x) 6.0)
63.0ms
(* (- z) (* (- y x) 6.0))
46.0ms
(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.8s

Counts
121 → 121
Iterations

Useful iterations: 2 (554.0ms)

IterNodesCost
01621244
14391181
220801003
done50011003

prune459.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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:
57.0ms
(* (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))) (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
6.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
6.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
6.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))

series3.5s

Counts
4 → 12
Calls
4 calls:
1.3s
(* (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))) (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
827.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
750.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
657.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))

simplify1.0s

Counts
99 → 99
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01963906
14633627
213123404
done50002935

prune543.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.5s

Algorithm
intervals
Results
821.0ms9398×body80valid
63.0ms271×body640valid
46.0ms165×body1280valid
30.0ms190×body320valid
18.0ms128×body160valid