Details

Time bar (total: 3.1s)

sample19.0ms

Algorithm
intervals
Results
7.0ms295×body80valid
1.0ms11×body640valid
0.0ms3×body1280valid
0.0ms4×body320valid
0.0ms4×body160valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1199
2437
3667
4727
5737
done737

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×add-sqr-sqrt add-log-exp
6×distribute-lft-out
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×fma-def associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
8.0ms
(+ d3 (+ 3.0 d2))
28.0ms
(* d1 (+ d3 (+ 3.0 d2)))

series45.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ d3 (+ 3.0 d2))
30.0ms
(* d1 (+ d3 (+ 3.0 d2)))

simplify921.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
070438
1207414
2667373
32605373
done5000373

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
2.0b
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
6.1b
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
13.9b
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

rewrite57.0ms

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:
19.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
3.0ms
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
11.0ms
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
20.0ms
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
33.0ms
(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
81.0ms
(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
93.0ms
(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

simplify706.0ms

Counts
135 → 135
Iterations

Useful iterations: done (703.0ms)

IterNodesCost
02022307
15802133
223541852
done50001850

prune260.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
2.9b
(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
3.0b
(+ (pow d3 3) (pow (+ 3.0 d2) 3))
23.3b
(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
30×associate-*r/
28×flip3-+ flip-+
26×distribute-lft-out
19×unpow-prod-down cube-prod
16×frac-sub
13×add-sqr-sqrt associate-*r*
12×fma-def
11×add-exp-log add-cube-cbrt add-cbrt-cube
8×frac-times add-log-exp
6×pow1 associate-*l/
4×expm1-log1p-u log1p-expm1-u sub-div
3×distribute-rgt-in distribute-lft-in times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp associate--l+ associate-/r/ sum-cubes cbrt-unprod associate-/l/ associate--r+
1×+-commutative cube-mult sub-neg flip3-- distribute-rgt-out-- frac-2neg fma-neg diff-log unpow3 prod-diff pow-prod-down clear-num sum-log *-commutative flip-- div-inv associate-/l* unswap-sqr sqr-pow
Counts
4 → 137
Calls
4 calls:
11.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
94.0ms
(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
27.0ms
(+ (pow d3 3) (pow (+ 3.0 d2) 3))
62.0ms
(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

series448.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
152.0ms
(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
58.0ms
(+ (pow d3 3) (pow (+ 3.0 d2) 3))
206.0ms
(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

simplify63.0ms

Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
02653425