Details

Time bar (total: 6.9s)

sample24.0ms

Algorithm
intervals
Results
13.0ms338×body80valid
0.0ms1×body320valid

simplify180.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
01113
11913
24011
31229
42249
53009
done3009

prune8.0ms

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

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×distribute-lft-out
11×add-log-exp
6×add-sqr-sqrt associate-*r* sum-log
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
55.0ms
(+ 32.0 (+ d2 (+ d3 5.0)))
220.0ms
(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

series72.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ 32.0 (+ d2 (+ d3 5.0)))
58.0ms
(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

simplify3.0s

Counts
48 → 48
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
075529
1207502
2777446
34948446
done5000446

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))

rewrite86.0ms

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:
39.0ms
(* (+ d3 5.0) d1)
15.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
30.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series153.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (+ d3 5.0) d1)
76.0ms
(+ (* d1 d2) (* (+ d3 5.0) d1))
46.0ms
(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify2.8s

Counts
54 → 54
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
093709
1271652
21008536
34622502
done5000502

prune115.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))

rewrite59.0ms

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:
43.0ms
(* (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))

series39.0ms