Details

Time bar (total: 16.0s)

sample50.0ms

Algorithm
intervals
Results
18.0ms294×body80valid
2.0ms10×body320valid
2.0ms7×body640valid
1.0ms3×body1280valid
1.0ms5×body160valid

simplify72.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1189
2347
3527
4677
5727
6777
done777

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
127.0ms
(* d1 (+ (+ 3.0 d2) d3))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify625.0ms

Counts
27 → 27
Iterations

Useful iterations: done (623.0ms)

IterNodesCost
051265
1166252
2726220
done5001218

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))

rewrite869.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
29×*-un-lft-identity
28×frac-times
20×cbrt-prod
14×associate-*l/
13×pow1 add-exp-log
12×distribute-lft-out
9×add-sqr-sqrt add-cube-cbrt
8×associate-*r* add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 97
Calls
4 calls:
770.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
21.0ms
(cbrt (+ (+ 3.0 d2) d3))
34.0ms
(cbrt (+ (+ 3.0 d2) d3))
38.0ms
(cbrt (+ (+ 3.0 d2) d3))

series462.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
150.0ms
(cbrt (+ (+ 3.0 d2) d3))
140.0ms
(cbrt (+ (+ 3.0 d2) d3))
137.0ms
(cbrt (+ (+ 3.0 d2) d3))

simplify1.3s

Counts
109 → 109
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01682860
14892755
219712386
done50002206

prune474.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

7.5b
(* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))))
10.5b
(/ (* (* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))) (cbrt (+ (+ 3.0 d2) d3))) (* (cbrt (- (+ 3.0 d2) d3)) (cbrt (- (+ 3.0 d2) d3))))
18.6b
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
18.6b
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
82×cbrt-div
44×associate-*r/
41×add-exp-log
36×frac-times
32×flip3-- flip--
26×associate-/l/
21×add-cbrt-cube
19×prod-exp cbrt-unprod
18×associate-*l/
9×pow1 flip3-+ flip-+
8×cbrt-undiv cbrt-prod add-sqr-sqrt div-exp associate-/r/
7×add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×associate-*l* pow-prod-down
2×pow1/3 difference-of-squares
1×frac-2neg times-frac associate-*r* clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 118
Calls
4 calls:
289.0ms
(* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))))
779.0ms
(/ (* (* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))) (cbrt (+ (+ 3.0 d2) d3))) (* (cbrt (- (+ 3.0 d2) d3)) (cbrt (- (+ 3.0 d2) d3))))
49.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
37.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series1.0s

Counts
4 → 12
Calls
4 calls:
214.0ms
(* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))))
523.0ms
(/ (* (* d1 (* (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))) (cbrt (+ (+ 3.0 d2) d3))) (* (cbrt (- (+ 3.0 d2) d3)) (cbrt (- (+ 3.0 d2) d3))))
156.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
141.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify1.8s

Counts
130 → 130
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02685722
17955239
232394234
done50014156

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.5b
(- (* d3 d3) (* (+ 3.0 d2) d3))
2.4b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
4.4b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
25.2b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite650.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
26×distribute-lft-out
18×associate-/r/
16×unpow-prod-down flip3-+ cube-prod frac-add flip-+
13×associate-*r*
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×flip3-- flip--
8×frac-times add-cube-cbrt associate-*r/ add-log-exp
6×pow1
4×associate-*l/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 107
Calls
4 calls:
17.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
105.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
284.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
231.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series669.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
79.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
247.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
306.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify2.8s

Counts
119 → 119
Iterations

Useful iterations: 2 (804.0ms)

IterNodesCost
02443257
18472923
248202593
done50002593

prune743.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.0b 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
077
1107
done107

end0.0ms

sample1.5s

Algorithm
intervals
Results
972.0ms9472×body80valid
40.0ms231×body640valid
21.0ms88×body1280valid
20.0ms157×body320valid
6.0ms71×body160valid