Details

Time bar (total: 20.8s)

sample56.0ms

Algorithm
intervals
Results
29.0ms270×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01417
12416
24315
37515
411215
514815
618115
725715
841915
972815
10152515
11409615
done500015

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (- b y) y)
0.0b
(* z (- t a))
0.3b
(fma x y (* z (- t a)))
23.7b
(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×sub-neg associate-*r/ fma-udef
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma z (- b y) y)
24.0ms
(* z (- t a))
0.0ms
(fma x y (* z (- t a)))
5.0ms
(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series620.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(fma z (- b y) y)
45.0ms
(* z (- t a))
83.0ms
(fma x y (* z (- t a)))
461.0ms
(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify2.3s

Counts
107 → 107
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01711678
13091491
26991283
328171241
done50001187

prune401.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (- b y) y)
0.3b
(fma x y (+ (* t z) (* (- a) z)))
1.1b
(+ (* t z) (* (- a) z))
23.7b
(/ (fma x y (+ (* t z) (* (- a) z))) (fma z (- b y) y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×associate-/r* associate-/l*
2×distribute-lft-neg-out fma-udef
1×cbrt-undiv +-commutative distribute-rgt-out fma-def frac-2neg flip3-+ div-exp unsub-neg clear-num sum-log flip-+ div-inv
Counts
4 → 66
Calls
4 calls:
0.0ms
(fma z (- b y) y)
0.0ms
(fma x y (+ (* t z) (* (- a) z)))
8.0ms
(+ (* t z) (* (- a) z))
5.0ms
(/ (fma x y (+ (* t z) (* (- a) z))) (fma z (- b y) y))

series641.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma z (- b y) y)
70.0ms
(fma x y (+ (* t z) (* (- a) z)))
47.0ms
(+ (* t z) (* (- a) z))
491.0ms
(/ (fma x y (+ (* t z) (* (- a) z))) (fma z (- b y) y))

simplify3.0s

Counts
78 → 78
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01031325
12341089
2737978
32911974
done5001973

prune395.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 23.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(fma x y (* z (- t a)))
0.5b
(/ 1 (fma z (- b y) y))
23.4b
(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
37×*-un-lft-identity
34×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r* prod-diff
13×add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
9×pow1
6×associate-*l*
5×prod-exp
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv sub-neg rec-exp 1-exp pow-prod-down *-commutative div-inv
1×flip3-- pow-flip frac-2neg clear-num un-div-inv flip-- fma-udef distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 127
Calls
4 calls:
40.0ms
(* z (- t a))
0.0ms
(fma x y (* z (- t a)))
6.0ms
(/ 1 (fma z (- b y) y))
29.0ms
(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

series697.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* z (- t a))
70.0ms
(fma x y (* z (- t a)))
81.0ms
(/ 1 (fma z (- b y) y))
501.0ms
(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

simplify2.8s

Counts
139 → 139
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02002133
13871818
29151550
338161508
done50001508

prune419.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 23.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.2b
(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
0.3b
(fma x y (* z (- t a)))
23.7b
(/ (fma z (- b y) y) (fma x y (* z (- t a))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
72×add-sqr-sqrt
70×*-un-lft-identity
68×add-cube-cbrt
19×add-exp-log
18×prod-diff
16×associate-/r*
13×add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
8×div-exp
7×pow1
6×div-inv associate-/l*
5×associate-*r*
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×sub-neg rec-exp frac-2neg 1-exp associate-*r/ clear-num
1×flip3-- pow-flip pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 163
Calls
4 calls:
37.0ms
(* z (- t a))
20.0ms
(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
1.0ms
(fma x y (* z (- t a)))
10.0ms
(/ (fma z (- b y) y) (fma x y (* z (- t a))))

series795.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- t a))
553.0ms
(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
53.0ms
(fma x y (* z (- t a)))
151.0ms
(/ (fma z (- b y) y) (fma x y (* z (- t a))))

simplify2.3s

Counts
175 → 175
Iterations

Useful iterations: 3 (917.0ms)

IterNodesCost
02643896
15093507
210783118
340593058
done50003058

prune472.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.1b

regimes6.0ms