Details

Time bar (total: 7.0s)

sample19.0ms

Algorithm
intervals
Results
7.0ms302×body80valid
1.0ms9×body320valid
1.0ms6×body640valid
0.0ms2×body1280valid
0.0ms4×body160valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1189
2327
3447
4487
done487

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:
30.0ms
(* d1 (+ d3 (+ 3.0 d2)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* d1 (+ d3 (+ 3.0 d2)))

simplify883.0ms

Counts
27 → 27
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
051265
1148252
2456218
31874218
done5000218

prune53.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
0.6b
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
0.6b
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
0.6b
(cbrt (* d1 (+ d3 (+ 3.0 d2))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
10.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
8.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
8.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))

series699.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
164.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
168.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
170.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: 3 (492.0ms)

IterNodesCost
01611927
14051764
211071582
337731325
done50011325

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* d1 (sqrt (+ d3 (+ 3.0 d2))))
0.3b
(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×associate-*r*
14×sqrt-div
11×add-sqr-sqrt sqrt-prod
10×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
6×distribute-lft-out
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative add-log-exp unswap-sqr
Counts
2 → 57
Calls
2 calls:
30.0ms
(* d1 (sqrt (+ d3 (+ 3.0 d2))))
58.0ms
(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

series95.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* d1 (sqrt (+ d3 (+ 3.0 d2))))
28.0ms
(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

simplify1.5s

Counts
63 → 63
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01171129
1312869
2920759
33327747
done5001745

prune111.0ms

Pruning

7 alts after pruning (4 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))
2.8b
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
8.8b
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
16.8b
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

rewrite52.0ms

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×associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate-/r* flip-+ add-log-exp
4×distribute-rgt-in frac-times flip3-- distribute-lft-in 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/ associate--r+ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 111
Calls
4 calls:
17.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
3.0ms
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
10.0ms
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
19.0ms
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
36.0ms
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
79.0ms
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
92.0ms
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

simplify804.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (268.0ms)

IterNodesCost
01872105
15281951
220281673
done50001673

prune230.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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

sample490.0ms

Algorithm
intervals
Results
230.0ms9503×body80valid
22.0ms220×body640valid
12.0ms146×body320valid
9.0ms85×body1280valid
4.0ms99×body160valid