Details

Time bar (total: 4.2s)

sample35.0ms

Algorithm
intervals
Results
19.0ms312×body80valid
0.0ms1×body320valid

simplify469.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (22.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite527.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
10×distribute-lft-out
7×add-sqr-sqrt add-log-exp
6×associate-*r*
5×add-cube-cbrt
4×pow1 add-exp-log fma-def add-cbrt-cube
3×associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 48
Calls
2 calls:
44.0ms
(+ (+ d3 5.0) 32.0)
481.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

series62.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (+ d3 5.0) 32.0)
43.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

simplify702.0ms

Counts
54 → 54
Iterations

Useful iterations: done (700.0ms)

IterNodesCost
083495
1235461
2901422
done5000420

prune156.0ms

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))

rewrite100.0ms

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:
40.0ms
(* (+ d3 5.0) d1)
11.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
47.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series157.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (+ d3 5.0) d1)
67.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
59.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: done (1.5s)

IterNodesCost
099769
1291667
21112571
done5000549

prune241.0ms

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)))

rewrite100.0ms

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:
9.0ms
(cbrt (+ d3 5.0))
17.0ms
(cbrt (+ d3 5.0))
8.0ms
(cbrt (+ d3 5.0))
58.0ms
(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

series59.0ms