Details

Time bar (total: 16.1s)

sample34.0ms

Algorithm
intervals
Results
14.0ms315×body80valid
1.0ms5×body640valid
1.0ms2×body1280valid
0.0ms3×body320valid
0.0ms2×body160valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite134.0ms

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:
132.0ms
(* d1 (+ (+ 3.0 d2) d3))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify1.8s

Counts
27 → 27
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
051265
1150252
2539218
32806218
done5000218

prune68.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-+ associate-*l/ flip-+
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
34.0ms
(+ (* (+ 3.0 d2) d1) (* d3 d1))
43.0ms
(* (+ 3.0 d2) d1)

series73.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* (+ 3.0 d2) d1) (* d3 d1))
36.0ms
(* (+ 3.0 d2) d1)

simplify2.4s

Counts
39 → 39
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
069403
1195351
2690313
32729311
done5000311

prune115.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 3.0 d2))
0.2b
(cbrt (+ 3.0 d2))
0.3b
(* (cbrt (+ 3.0 d2)) d1)
0.3b
(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*l/
30×flip3-+ flip-+
28×frac-times
18×pow1 add-exp-log
15×*-un-lft-identity
13×cbrt-prod add-sqr-sqrt
11×add-cbrt-cube
9×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
8×associate-*r/ associate-*l*
4×associate-*r* add-log-exp
3×distribute-lft-out
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 101
Calls
4 calls:
4.0ms
(cbrt (+ 3.0 d2))
4.0ms
(cbrt (+ 3.0 d2))
39.0ms
(* (cbrt (+ 3.0 d2)) d1)
132.0ms
(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

series573.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (+ 3.0 d2))
120.0ms
(cbrt (+ 3.0 d2))
287.0ms
(* (cbrt (+ 3.0 d2)) d1)
32.0ms
(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

simplify3.2s

Counts
113 → 113
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02032238
15562150
215311841
340091634
done50001604

prune353.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

9.2b
(/ (* (* (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (+ 3.0 d2))) (* (cbrt (- (* 3.0 3.0) (* d2 d2))) d1)) (* (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0)))) (cbrt (- 3.0 d2))))
12.3b
(cbrt (- (* 3.0 3.0) (* d2 d2)))
12.3b
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
17.8b
(cbrt (+ (pow 3.0 3) (pow d2 3)))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-div
45×add-exp-log
34×associate-*l/
32×frac-times
26×associate-/l/
23×flip3-+ add-cbrt-cube flip-+
21×prod-exp cbrt-unprod
17×*-un-lft-identity
16×cbrt-prod
13×flip3-- flip--
10×cbrt-undiv associate-*r/ div-exp
8×associate-/r/
7×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×pow1 unpow-prod-down cube-prod add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv associate-/l* difference-of-squares
Counts
4 → 113
Calls
4 calls:
235.0ms
(/ (* (* (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (+ 3.0 d2))) (* (cbrt (- (* 3.0 3.0) (* d2 d2))) d1)) (* (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0)))) (cbrt (- 3.0 d2))))
10.0ms
(cbrt (- (* 3.0 3.0) (* d2 d2)))
5.0ms
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
17.0ms
(cbrt (+ (pow 3.0 3) (pow d2 3)))

series1.9s

Counts
4 → 12
Calls
4 calls:
706.0ms
(/ (* (* (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (+ 3.0 d2))) (* (cbrt (- (* 3.0 3.0) (* d2 d2))) d1)) (* (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0)))) (cbrt (- 3.0 d2))))
282.0ms
(cbrt (- (* 3.0 3.0) (* d2 d2)))
144.0ms
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
789.0ms
(cbrt (+ (pow 3.0 3) (pow d2 3)))

simplify2.3s

Counts
125 → 125
Iterations

Useful iterations: done (2.3s)

IterNodesCost
03604589
110304318
243493696
done50023661

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample1.2s

Algorithm
intervals
Results
592.0ms9573×body80valid
50.0ms95×body1280valid
35.0ms212×body640valid
21.0ms159×body320valid
10.0ms99×body160valid