Details

Time bar (total: 5.6s)

sample44.0ms

Algorithm
intervals
Results
24.0ms338×body80valid
0.0ms1×body320valid

simplify540.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
01113
12012
25010
31479
42819
53909
64029
done4029

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite441.0ms

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 expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
439.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

simplify2.7s

Counts
30 → 30
Iterations

Useful iterations: 2 (125.0ms)

IterNodesCost
056344
1165326
2673287
34541287
done5000287

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ d3 5.0) d1)
0.0b
(+ (* d1 d2) (* (+ d3 5.0) d1))
0.1b
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
5×pow1 add-exp-log add-cbrt-cube
4×fma-def associate-*l* sum-log
3×expm1-log1p-u flip3-+ associate-*r* flip-+ log1p-expm1-u
2×+-commutative associate-*l/
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 55
Calls
3 calls:
21.0ms
(* (+ d3 5.0) d1)
10.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
331.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series120.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (+ d3 5.0) d1)
43.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
47.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify1.0s

Counts
64 → 64
Iterations

Useful iterations: done (1.0s)

IterNodesCost
099769
1291667
21112571
done5000549

prune147.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
42.0ms
(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
4.0ms
(cbrt (+ d3 5.0))
4.0ms
(cbrt (+ d3 5.0))
4.0ms
(cbrt (+ d3 5.0))

series41.0ms