Details

Time bar (total: 8.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms331×body80valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
01113
11913
23911
3919
41599
51739
done1739

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ d3 5.0) 32.0)
0.0b
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
9×distribute-lft-out
7×add-log-exp
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
14.0ms
(+ (+ d3 5.0) 32.0)
154.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

series49.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (+ d3 5.0) 32.0)
29.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

simplify1.8s

Counts
46 → 46
Iterations

Useful iterations: 3 (593.0ms)

IterNodesCost
079463
1225433
2840391
34093389
done5000389

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ d3 5.0) 32.0)
0.0b
(* d1 (+ (+ d3 5.0) 32.0))
0.0b
(+ (* d1 (+ (+ d3 5.0) 32.0)) (* d1 d2))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-log-exp
7×add-sqr-sqrt distribute-lft-out
5×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
4×sum-log
3×associate-+l+ flip3-+ associate-*l* flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 53
Calls
3 calls:
15.0ms
(+ (+ d3 5.0) 32.0)
37.0ms
(* d1 (+ (+ d3 5.0) 32.0))
14.0ms
(+ (* d1 (+ (+ d3 5.0) 32.0)) (* d1 d2))

series87.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (+ d3 5.0) 32.0)
31.0ms
(* d1 (+ (+ d3 5.0) 32.0))
37.0ms
(+ (* d1 (+ (+ d3 5.0) 32.0)) (* d1 d2))

simplify815.0ms

Counts
62 → 62
Iterations

Useful iterations: done (813.0ms)

IterNodesCost
091663
1267594
21003538
done5000532

prune118.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ d3 5.0) 32.0)
0.0b
(pow (+ (+ d3 5.0) 32.0) 3)
0.0b
(* d1 (+ (cbrt (pow (+ (+ d3 5.0) 32.0) 3)) d2))
15.6b
(cbrt (pow (+ (+ d3 5.0) 32.0) 3))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
16×cbrt-prod distribute-lft-out
14×add-sqr-sqrt
12×add-cube-cbrt
10×unpow-prod-down cube-prod
9×add-log-exp
7×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ associate-*r* flip-+
3×pow-unpow associate-*l* sum-log
2×cube-mult cbrt-div unpow3 associate-*r/ sqr-pow
1×+-commutative distribute-rgt-in pow-to-exp associate-+l+ pow-pow distribute-lft-in pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt unswap-sqr
Counts
4 → 94
Calls
4 calls:
15.0ms
(+ (+ d3 5.0) 32.0)
20.0ms
(pow (+ (+ d3 5.0) 32.0) 3)
334.0ms
(* d1 (+ (cbrt (pow (+ (+ d3 5.0) 32.0) 3)) d2))
17.0ms
(cbrt (pow (+ (+ d3 5.0) 32.0) 3))

series94.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (+ d3 5.0) 32.0)
29.0ms
(pow (+ (+ d3 5.0) 32.0) 3)
30.0ms
(* d1 (+ (cbrt (pow (+ (+ d3 5.0) 32.0) 3)) d2))
18.0ms
(cbrt (pow (+ (+ d3 5.0) 32.0) 3))

simplify740.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
01361353
13511055
21384955
done5000955

prune194.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (+ d3 5.0) 3)
0.0b
(+ (/ (* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* 32.0 32.0) (* (+ d3 5.0) 32.0)))) (* d1 d2))
4.7b
(* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3)))
13.5b
(/ (* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* 32.0 32.0) (* (+ d3 5.0) 32.0))))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
18×associate-/r/
17×flip3-+ flip-+
16×frac-add
15×distribute-lft-out
13×add-sqr-sqrt associate-*r*
12×add-exp-log unpow-prod-down cube-prod add-cbrt-cube
11×add-cube-cbrt
8×frac-times flip3-- associate-*r/ flip--
7×pow1
6×add-log-exp
4×associate-*l/
3×pow-unpow times-frac associate-*l* associate-/r*
2×cbrt-undiv cube-div div-exp prod-exp cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in cube-mult pow-to-exp pow-pow frac-2neg distribute-lft-in unpow3 pow-prod-down pow-exp clear-num sum-log sum-cubes *-commutative div-inv associate-/l* rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 111
Calls
4 calls:
5.0ms
(pow (+ d3 5.0) 3)
126.0ms
(+ (/ (* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* 32.0 32.0) (* (+ d3 5.0) 32.0)))) (* d1 d2))
111.0ms
(* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3)))
68.0ms
(/ (* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* 32.0 32.0) (* (+ d3 5.0) 32.0))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (+ d3 5.0) 3)
270.0ms
(+ (/ (* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* 32.0 32.0) (* (+ d3 5.0) 32.0)))) (* d1 d2))
70.0ms
(* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3)))
213.0ms
(/ (* d1 (+ (pow (+ d3 5.0) 3) (pow 32.0 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* 32.0 32.0) (* (+ d3 5.0) 32.0))))

simplify1.4s

Counts
123 → 123
Iterations

Useful iterations: 2 (350.0ms)

IterNodesCost
02773633
18693165
242382797
done50002797

prune409.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample514.0ms

Algorithm
intervals
Results
301.0ms10138×body80valid
2.0ms14×body640valid
1.0ms5×body1280valid
1.0ms7×body320valid
0.0ms7×body160valid