Details

Time bar (total: 18.5s)

sample100.0ms

Algorithm
intervals
Results
50.0ms513×body80valid

simplify7.7s

Counts
1 → 1
Iterations

Useful iterations: 5 (6.5s)

IterNodesCost
02831
16729
222127
375727
4262327
5439726
done500026

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (fma t a (* x i)) (* (* j 27.0) k))
0.0b
(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
0.2b
(* (* j 27.0) k)
9.9b
(* (* t y) (* z x))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×associate-*l* *-commutative fma-udef
Counts
4 → 64
Calls
4 calls:
1.0ms
(fma 4.0 (fma t a (* x i)) (* (* j 27.0) k))
1.0ms
(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
29.0ms
(* (* j 27.0) k)
46.0ms
(* (* t y) (* z x))

series3.6s

Counts
4 → 12
Calls
4 calls:
140.0ms
(fma 4.0 (fma t a (* x i)) (* (* j 27.0) k))
3.4s
(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
34.0ms
(* (* j 27.0) k)
77.0ms
(* (* t y) (* z x))

simplify1.2s

Counts
76 → 76
Iterations

Useful iterations: 2 (178.0ms)

IterNodesCost
01331013
1299996
21168814
done5001814

prune374.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.5b
(* (* x 18.0) y)
3.3b
(* (* (* x 18.0) y) z)
5.5b
(* (* (* (* x 18.0) y) z) t)

rewrite661.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
4 → 89
Calls
4 calls:
19.0ms
(* (* j 27.0) k)
19.0ms
(* (* x 18.0) y)
60.0ms
(* (* (* x 18.0) y) z)
559.0ms
(* (* (* (* x 18.0) y) z) t)

series149.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* j 27.0) k)
25.0ms
(* (* x 18.0) y)
34.0ms
(* (* (* x 18.0) y) z)
64.0ms
(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts
101 → 101
Iterations

Useful iterations: 2 (290.0ms)

IterNodesCost
0145974
1358944
21696738
done5001738

prune427.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 27.0 (* k j))
0.5b
(* (* x 18.0) y)
3.3b
(* (* (* x 18.0) y) z)
5.5b
(* (* (* (* x 18.0) y) z) t)

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
4 → 89
Calls
4 calls:
17.0ms
(* 27.0 (* k j))
19.0ms
(* (* x 18.0) y)
60.0ms
(* (* (* x 18.0) y) z)
207.0ms
(* (* (* (* x 18.0) y) z) t)

series141.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 27.0 (* k j))
27.0ms
(* (* x 18.0) y)
33.0ms
(* (* (* x 18.0) y) z)
56.0ms
(* (* (* (* x 18.0) y) z) t)

simplify1.2s

Counts
101 → 101
Iterations

Useful iterations: 2 (271.0ms)

IterNodesCost
0141971
1346943
21626737
done5000737

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))) t)
15.4b
(cbrt (* (* (* x 18.0) y) z))
15.4b
(cbrt (* (* (* x 18.0) y) z))
15.4b
(cbrt (* (* (* x 18.0) y) z))

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
295.0ms
(* (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))) t)
48.0ms
(cbrt (* (* (* x 18.0) y) z))
49.0ms
(cbrt (* (* (* x 18.0) y) z))
47.0ms
(cbrt (* (* (* x 18.0) y) z))

series33.0ms