Details

Time bar (total: 14.4s)

sample70.0ms

Algorithm
intervals
Results
43.0ms491×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (129.0ms)

IterNodesCost
01113
12113
25213
317113
434612
558612
669812
780512
8104212
9122512
10122812
done122812

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
6.4b
(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity add-log-exp
fma-neg prod-diff
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
2 → 31
Calls
2 calls:
6.0ms
(- t (* z z))
0.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

series165.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- t (* z z))
119.0ms
(fma (* y 4.0) (- t (* z z)) (* x x))

simplify2.5s

Counts
37 → 37
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
065421
1139415
2341357
3898348
42934329
done5001329

prune171.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 1 expressions with local error:

6.4b
(fma (* y 4.0) (fma z (- z) t) (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (* y 4.0) (fma z (- z) t) (* x x))

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(fma (* y 4.0) (fma z (- z) t) (* x x))

simplify1.8s

Counts
13 → 13
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
030200
158200
2153170
3429166
41795166
done5001166

prune100.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.8b

localize45.0ms

Local error

Found 4 expressions with local error:

6.4b
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
6.9b
(cbrt (- t (* z z)))
6.9b
(cbrt (- t (* z z)))
6.9b
(cbrt (- t (* z z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
cbrt-div
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
flip3-- pow1/3 flip-- difference-of-squares
fma-udef
Counts
4 → 58
Calls
4 calls:
1.0ms
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
7.0ms
(cbrt (- t (* z z)))
6.0ms
(cbrt (- t (* z z)))
7.0ms
(cbrt (- t (* z z)))

series1.5s

Counts
4 → 12
Calls
4 calls:
228.0ms
(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
367.0ms
(cbrt (- t (* z z)))
403.0ms
(cbrt (- t (* z z)))
498.0ms
(cbrt (- t (* z z)))

simplify3.4s

Counts
70 → 70
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
0971117
12141087
2518834
31292767
44201743
done5000743

prune417.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.8b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.8b

regimes2.0ms