Details

Time bar (total: 4.9s)

sample19.0ms

Algorithm
intervals
Results
9.0ms316×body80valid
0.0ms1×body160valid

simplify93.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
01113
11913
23911
3949
41709
51899
done1899

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite232.0ms

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) d2)
61.0ms
(+ (+ (+ d3 5.0) d2) 32.0)
155.0ms
(* d1 (+ (+ (+ d3 5.0) d2) 32.0))

series57.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (+ d3 5.0) d2)
13.0ms
(+ (+ (+ d3 5.0) d2) 32.0)
32.0ms
(* d1 (+ (+ (+ d3 5.0) d2) 32.0))

simplify1.5s

Counts
66 → 66
Iterations

Useful iterations: 3 (343.0ms)

IterNodesCost
093674
1260636
2918580
34728574
done5000574

prune110.0ms

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

rewrite69.0ms

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:
37.0ms
(* d1 (+ (+ d3 5.0) d2))
16.0ms
(+ (+ d3 5.0) d2)
15.0ms
(+ (* d1 (+ (+ d3 5.0) d2)) (* d1 32.0))

series82.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* d1 (+ (+ d3 5.0) d2))
12.0ms
(+ (+ d3 5.0) d2)
40.0ms
(+ (* d1 (+ (+ d3 5.0) d2)) (* d1 32.0))

simplify1.9s

Counts
62 → 62
Iterations

Useful iterations: 3 (431.0ms)

IterNodesCost
093681
1272606
21046550
34795544
done5000544

prune118.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite225.0ms

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:
3.0ms
(- (* d2 d2) (* (+ d3 5.0) d2))
113.0ms
(* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3)))
37.0ms
(+ (pow (+ d3 5.0) 3) (pow d2 3))
68.0ms
(/ (* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (* d2 d2) (* (+ d3 5.0) d2))
155.0ms
(* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3)))
64.0ms
(+ (pow (+ d3 5.0) 3) (pow d2 3))
206.0ms
(/ (* d1 (+ (pow (+ d3 5.0) 3) (pow d2 3))) (+ (* (+ d3 5.0) (+ d3 5.0)) (- (* d2 d2) (* (+ d3 5.0) d2))))

simplify60.0ms

Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
02453257