Details

Time bar (total: 13.1s)

sample48.0ms

Algorithm
intervals
Results
20.0ms313×body80valid
2.0ms9×body640valid
1.0ms4×body320valid
1.0ms2×body1280valid
0.0ms4×body160valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune20.0ms

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))

rewrite106.0ms

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:
104.0ms
(* d1 (+ (+ 3.0 d2) d3))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify2.1s

Counts
27 → 27
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
051265
1150252
2539218
32806218
done5000218

prune60.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube distribute-lft-out
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
106.0ms
(* (+ (+ 3.0 d2) d3) d1)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (+ (+ 3.0 d2) d3) d1)

simplify2.2s

Counts
25 → 25
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
048257
1126248
2519214
32671214
done5000214

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
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 → 105
Calls
4 calls:
24.0ms
(cbrt (+ (+ 3.0 d2) d3))
16.0ms
(cbrt (+ (+ 3.0 d2) d3))
34.0ms
(cbrt (+ (+ 3.0 d2) d3))
156.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (+ (+ 3.0 d2) d3))
148.0ms
(cbrt (+ (+ 3.0 d2) d3))
137.0ms
(cbrt (+ (+ 3.0 d2) d3))
122.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

simplify1.7s

Counts
117 → 117
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01361979
13071812
27901714
320241492
done50001461

prune487.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

17.3b
(/ (* (cbrt (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))) (* (cbrt (- (* d3 d3) (* (+ 3.0 d2) (- d3 (+ 3.0 d2))))) (cbrt (- (+ 3.0 d2) d3))))
22.2b
(cbrt (- (* d3 d3) (* (+ 3.0 d2) (- d3 (+ 3.0 d2)))))
22.2b
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
29.2b
(cbrt (+ (pow (+ 3.0 d2) 3) (pow d3 3)))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
29×*-un-lft-identity
20×cbrt-prod
16×add-exp-log
13×distribute-lft-out
11×flip3-- flip--
8×frac-times unpow-prod-down cube-prod associate-/r/ add-cbrt-cube associate-/l/
7×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-undiv flip3-+ associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ 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 → 87
Calls
4 calls:
179.0ms
(/ (* (cbrt (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))) (* (cbrt (- (* d3 d3) (* (+ 3.0 d2) (- d3 (+ 3.0 d2))))) (cbrt (- (+ 3.0 d2) d3))))
6.0ms
(cbrt (- (* d3 d3) (* (+ 3.0 d2) (- d3 (+ 3.0 d2)))))
28.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
58.0ms
(cbrt (+ (pow (+ 3.0 d2) 3) (pow d3 3)))

series1.2s

Counts
4 → 12
Calls
4 calls:
513.0ms
(/ (* (cbrt (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))) (* (cbrt (- (* d3 d3) (* (+ 3.0 d2) (- d3 (+ 3.0 d2))))) (cbrt (- (+ 3.0 d2) d3))))
191.0ms
(cbrt (- (* d3 d3) (* (+ 3.0 d2) (- d3 (+ 3.0 d2)))))
143.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
362.0ms
(cbrt (+ (pow (+ 3.0 d2) 3) (pow d3 3)))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02403417
16543224
222472774
done50002752

prune853.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample1.4s

Algorithm
intervals
Results
960.0ms9535×body80valid
33.0ms207×body640valid
19.0ms167×body320valid
19.0ms94×body1280valid
7.0ms87×body160valid