Details

Time bar (total: 6.7s)

sample27.0ms

Algorithm
intervals
Results
13.0ms312×body80valid
0.0ms1×body320valid

simplify265.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
01113
11913
24011
31229
42249
53009
done3009

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
6×associate-*r* distribute-lft-out
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
231.0ms
(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

series57.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

simplify2.3s

Counts
28 → 28
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
055324
1160309
2636267
34378267
done5000267

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite80.0ms

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:
22.0ms
(* (+ d3 5.0) d1)
18.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
38.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series131.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (+ d3 5.0) d1)
50.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
52.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify3.2s

Counts
54 → 54
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
093709
1271652
21008536
34622502
done5000502

prune126.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ d3 5.0))
0.7b
(cbrt (+ d3 5.0))
0.7b
(cbrt (+ d3 5.0))
0.8b
(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
4.0ms
(cbrt (+ d3 5.0))
4.0ms
(cbrt (+ d3 5.0))
4.0ms
(cbrt (+ d3 5.0))
46.0ms
(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

series68.0ms