Details

Time bar (total: 7.7s)

sample22.0ms

Algorithm
intervals
Results
8.0ms318×body80valid
1.0ms10×body640valid
0.0ms3×body1280valid
0.0ms4×body160valid
0.0ms1×body320valid

simplify29.0ms

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: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite79.0ms

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:
78.0ms
(* d1 (+ (+ 3.0 d2) d3))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify1.2s

Counts
27 → 27
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
051265
1150252
2539218
32806218
done5000218

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite188.0ms

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:
16.0ms
(cbrt (+ (+ 3.0 d2) d3))
16.0ms
(cbrt (+ (+ 3.0 d2) d3))
15.0ms
(cbrt (+ (+ 3.0 d2) d3))
134.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (+ (+ 3.0 d2) d3))
94.0ms
(cbrt (+ (+ 3.0 d2) d3))
97.0ms
(cbrt (+ (+ 3.0 d2) d3))
95.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

simplify1.1s

Counts
117 → 117
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01361979
13071812
27901714
320241492
done50001461

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
0.6b
(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
1.9b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
19.1b
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
133×*-un-lft-identity
128×cbrt-prod
73×add-sqr-sqrt
63×times-frac
49×add-cube-cbrt
32×distribute-lft-out
20×difference-of-squares
18×cbrt-div
16×distribute-lft-out--
14×swap-sqr
11×pow1
9×associate-/r*
8×add-exp-log associate-*r* associate-*l*
7×pow1/3 associate-/l*
6×flip3-+ flip-+ add-log-exp
4×frac-times flip3-- add-cbrt-cube flip-- unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ associate--l+ associate-/r/ pow-sqr pow-prod-up associate-/l/
1×cbrt-undiv pow2 distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow-plus diff-log div-exp prod-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 184
Calls
4 calls:
131.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
73.0ms
(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
19.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
18.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
149.0ms
(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
40.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
113.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify859.0ms

Counts
196 → 196
Iterations

Useful iterations: done (851.0ms)

IterNodesCost
02925125
15784744
215314560
done50004391

prune543.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
1.9b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.3b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.2b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
33.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
20.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
69.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
72.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series248.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
40.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
86.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
106.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify1.0s

Counts
127 → 127
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01922163
15272009
220271729
done50011507

prune249.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.1b 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

sample560.0ms

Algorithm
intervals
Results
234.0ms9611×body80valid
17.0ms200×body640valid
10.0ms152×body320valid
9.0ms81×body1280valid
4.0ms98×body160valid