Details

Time bar (total: 7.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms316×body80valid
0.0ms1×body160valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
01113
11913
23911
3949
41709
51899
done1899

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
17×add-log-exp
15×distribute-lft-out
9×sum-log
7×add-sqr-sqrt
6×associate-*r*
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×flip3-+ associate-*l* flip-+
2×+-commutative associate-+l+ associate-*r/
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 57
Calls
3 calls:
14.0ms
(+ (+ d3 5.0) d2)
68.0ms
(+ (+ (+ d3 5.0) d2) 32.0)
180.0ms
(* d1 (+ (+ (+ d3 5.0) d2) 32.0))

series62.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (+ d3 5.0) d2)
16.0ms
(+ (+ (+ d3 5.0) d2) 32.0)
32.0ms
(* d1 (+ (+ (+ d3 5.0) d2) 32.0))

simplify484.0ms

Counts
66 → 66
Iterations

Useful iterations: done (481.0ms)

IterNodesCost
093674
1260636
21077580
done5001574

prune158.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

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:
43.0ms
(* d1 (+ (+ d3 5.0) d2))
16.0ms
(+ (+ d3 5.0) d2)
18.0ms
(+ (* d1 (+ (+ d3 5.0) d2)) (* d1 32.0))

series89.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* d1 (+ (+ d3 5.0) d2))
13.0ms
(+ (+ d3 5.0) d2)
42.0ms
(+ (* d1 (+ (+ d3 5.0) d2)) (* d1 32.0))

simplify602.0ms

Counts
62 → 62
Iterations

Useful iterations: done (600.0ms)

IterNodesCost
093681
1272606
21228550
done5001544

prune125.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.5b
(- (* d2 d2) (* (+ d3 5.0) d2))
2.9b
(* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3)))
3.0b
(+ (pow (+ d3 5.0) 3) (pow d2 3))
23.3b
(/ (* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2))))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
26×distribute-lft-out
18×associate-/r/
16×unpow-prod-down flip3-+ cube-prod frac-add flip-+
13×associate-*r*
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×flip3-- flip--
8×frac-times add-cube-cbrt associate-*r/ add-log-exp
6×pow1
4×associate-*l/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 107
Calls
4 calls:
4.0ms
(- (* d2 d2) (* (+ d3 5.0) d2))
118.0ms
(* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3)))
46.0ms
(+ (pow (+ d3 5.0) 3) (pow d2 3))
75.0ms
(/ (* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2))))

series469.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* d2 d2) (* (+ d3 5.0) d2))
159.0ms
(* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3)))
66.0ms
(+ (pow (+ d3 5.0) 3) (pow d2 3))
210.0ms
(/ (* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2))))

simplify1.5s

Counts
119 → 119
Iterations

Useful iterations: 2 (338.0ms)

IterNodesCost
02453257
17832835
239352585
done50002585

prune471.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2)))
1.5b
(- (* d2 d2) (* (+ d3 5.0) d2))
6.1b
(* d1 (+ (* (+ d3 5.0) (+ d3 5.0)) (* d2 (- d2 (+ d3 5.0)))))
23.3b
(/ (* (* d1 (+ (* (+ d3 5.0) (+ d3 5.0)) (* d2 (- d2 (+ d3 5.0))))) (+ (+ d3 5.0) d2)) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
162×associate-*r/
97×flip3-+ flip-+
96×frac-add
84×frac-times
56×associate-/l/
49×flip3-- flip--
42×associate-*l/
18×associate-/r/
15×add-exp-log add-cbrt-cube
11×add-log-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1
4×prod-exp cbrt-unprod
3×cbrt-undiv times-frac div-exp associate-*r* associate-*l* associate-/r*
2×distribute-rgt-in sub-neg associate-+l+ associate-+r+ distribute-lft-in diff-log sum-log
1×+-commutative associate-+r- distribute-rgt-out-- frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 181
Calls
4 calls:
14.0ms
(+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2)))
3.0ms
(- (* d2 d2) (* (+ d3 5.0) d2))
31.0ms
(* d1 (+ (* (+ d3 5.0) (+ d3 5.0)) (* d2 (- d2 (+ d3 5.0)))))
87.0ms
(/ (* (* d1 (+ (* (+ d3 5.0) (+ d3 5.0)) (* d2 (- d2 (+ d3 5.0))))) (+ (+ d3 5.0) d2)) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2))))

series298.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2)))
46.0ms
(- (* d2 d2) (* (+ d3 5.0) d2))
119.0ms
(* d1 (+ (* (+ d3 5.0) (+ d3 5.0)) (* d2 (- d2 (+ d3 5.0)))))
95.0ms
(/ (* (* d1 (+ (* (+ d3 5.0) (+ d3 5.0)) (* d2 (- d2 (+ d3 5.0))))) (+ (+ d3 5.0) d2)) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2))))

simplify542.0ms

Counts
193 → 193
Iterations

Useful iterations: done (533.0ms)

IterNodesCost
04209171
115618072
done50008030

prune968.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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

sample504.0ms

Algorithm
intervals
Results
287.0ms9992×body80valid
2.0ms24×body640valid
1.0ms13×body320valid
1.0ms10×body160valid
0.0ms2×body1280valid