Details

Time bar (total: 9.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms316×body80valid
0.0ms1×body160valid

simplify84.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite228.0ms

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:
13.0ms
(+ (+ d3 5.0) 32.0)
61.0ms
(+ (+ (+ d3 5.0) 32.0) d2)
153.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

series63.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (+ d3 5.0) 32.0)
13.0ms
(+ (+ (+ d3 5.0) 32.0) d2)
31.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

simplify1.4s

Counts
66 → 66
Iterations

Useful iterations: 3 (320.0ms)

IterNodesCost
091668
1257630
2822574
33829568
done5000568

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-*l* sum-log
3×flip3-+ associate-*r* flip-+
2×+-commutative associate-*l/
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 45
Calls
3 calls:
9.0ms
(* (+ d3 5.0) d1)
3.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
11.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series106.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (+ d3 5.0) d1)
41.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
39.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify2.3s

Counts
54 → 54
Iterations

Useful iterations: 3 (940.0ms)

IterNodesCost
093709
1272652
2917536
34201502
done5000502

prune107.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.5b
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
2.9b
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
3.0b
(+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))
23.3b
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

rewrite685.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
50×distribute-lft-out
24×unpow-prod-down cube-prod
18×associate-/r/
17×associate-*r*
16×flip3-+ frac-add flip-+
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 → 115
Calls
4 calls:
3.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
344.0ms
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
125.0ms
(+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))
207.0ms
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
156.0ms
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
61.0ms
(+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))
205.0ms
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

simplify1.0s

Counts
127 → 127
Iterations

Useful iterations: 2 (291.0ms)

IterNodesCost
02494097
17873629
234323311
done50003311

prune386.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0))))
1.5b
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
6.1b
(* d1 (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0)))))
23.3b
(/ (* (* d1 (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0))))) (+ (+ (+ d3 5.0) 32.0) d2)) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
178×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
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity add-log-exp
6×pow1
4×distribute-rgt-in associate-+r+ distribute-lft-in prod-exp cbrt-unprod
3×cbrt-undiv sub-neg times-frac div-exp associate-*r* associate-*l* associate-/r*
2×associate-+l+
1×+-commutative distribute-rgt-out-- frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 181
Calls
4 calls:
30.0ms
(+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0))))
3.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
90.0ms
(* d1 (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0)))))
228.0ms
(/ (* (* d1 (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0))))) (+ (+ (+ d3 5.0) 32.0) d2)) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

series231.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0))))
28.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
83.0ms
(* d1 (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0)))))
83.0ms
(/ (* (* d1 (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (- d2 (+ (+ d3 5.0) 32.0))))) (+ (+ (+ d3 5.0) 32.0) d2)) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

simplify484.0ms

Counts
193 → 193
Iterations

Useful iterations: done (473.0ms)

IterNodesCost
040711846
1142110791
done500210655

prune879.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

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

sample475.0ms

Algorithm
intervals
Results
272.0ms9992×body80valid
2.0ms24×body640valid
1.0ms13×body320valid
1.0ms10×body160valid
0.0ms2×body1280valid