Details

Time bar (total: 5.9s)

sample42.0ms

Algorithm
intervals
Results
20.0ms322×body80valid
2.0ms6×body640valid
1.0ms3×body1280valid
1.0ms4×body320valid
1.0ms4×body160valid

simplify78.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
1199
2457
3727
4837
5847
done847

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d3 (+ 3.0 d2)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
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 → 26
Calls
1 calls:
79.0ms
(* d1 (+ d3 (+ 3.0 d2)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* d1 (+ d3 (+ 3.0 d2)))

simplify2.2s

Counts
29 → 29
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
053281
1155265
2576234
32961234
done5001234

prune72.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ d3 (+ 3.0 d2)) d1)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
122.0ms
(* (+ d3 (+ 3.0 d2)) d1)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (+ d3 (+ 3.0 d2)) d1)

simplify2.9s

Counts
27 → 27
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
050273
1131261
2545230
32804230
done5000230

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
3.6b
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
7.6b
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
17.9b
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate-/r* flip-+ add-log-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u frac-times flip3-- flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
3×sub-neg prod-diff prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ associate--r+ unswap-sqr
1×pow2 frac-2neg pow-plus fma-neg diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 123
Calls
4 calls:
72.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
19.0ms
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
64.0ms
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
76.0ms
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

series1.0ms