Details

Time bar (total: 6.1s)

sample19.0ms

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

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1199
2437
3667
4727
5737
done737

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)))

rewrite28.0ms

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 expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
27.0ms
(* d1 (+ d3 (+ 3.0 d2)))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* d1 (+ d3 (+ 3.0 d2)))

simplify1.3s

Counts
29 → 29
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
053281
1155265
2637234
32814234
done5001234

prune55.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))))

rewrite34.0ms

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×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 80
Calls
4 calls:
8.0ms
(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
8.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
8.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
8.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
172.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
169.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
170.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))

simplify676.0ms

Counts
92 → 92
Iterations

Useful iterations: done (673.0ms)

IterNodesCost
01652017
14251836
213651660
done50001506

prune260.0ms

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×expm1-log1p-u associate-*l/ *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 61
Calls
2 calls:
29.0ms
(* d1 (sqrt (+ d3 (+ 3.0 d2))))
58.0ms
(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

series100.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* d1 (sqrt (+ d3 (+ 3.0 d2))))
32.0ms
(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

simplify549.0ms

Counts
67 → 67
Iterations

Useful iterations: done (548.0ms)

IterNodesCost
01211179
1330908
21229784
done5001772

prune132.0ms

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)))

rewrite56.0ms

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
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u frac-times flip3-- flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
3×sub-neg prod-diff 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 fma-neg diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 123
Calls
4 calls:
16.0ms
(* (+ 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))))
22.0ms
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
32.0ms
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
78.0ms
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
91.0ms
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

simplify926.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
02022307
15802133
227051850
done50001850

prune263.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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

sample491.0ms

Algorithm
intervals
Results
244.0ms9503×body80valid
20.0ms220×body640valid
10.0ms146×body320valid
10.0ms85×body1280valid
5.0ms99×body160valid