Details

Time bar (total: 7.0s)

sample61.0ms

Algorithm
intervals
Results
33.0ms352×body80valid

simplify76.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.8b
(/ (- (* x y) (* z t)) a)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
8.0ms
(- (* x y) (* z t))
33.0ms
(/ (- (* x y) (* z t)) a)

series121.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- (* x y) (* z t))
67.0ms
(/ (- (* x y) (* z t)) a)

simplify2.7s

Counts
54 → 54
Iterations

Useful iterations: done (2.7s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune205.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x (- y) (* t z))
6.8b
(/ (fma x (- y) (* t z)) (- a))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×add-exp-log neg-mul-1 add-cbrt-cube
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 67
Calls
2 calls:
0.0ms
(fma x (- y) (* t z))
7.0ms
(/ (fma x (- y) (* t z)) (- a))

series154.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(fma x (- y) (* t z))
85.0ms
(/ (fma x (- y) (* t z)) (- a))

simplify3.3s

Counts
73 → 73
Iterations

Useful iterations: 3 (272.0ms)

IterNodesCost
01111181
11891152
24231100
311471099
444461099
done50001099

prune325.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x (- y) (* t z))
0.2b
(/ 1 (- (/ a (fma x (- y) (* t z)))))
6.9b
(/ a (fma x (- y) (* t z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
102×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×div-inv
9×add-exp-log
7×add-cbrt-cube
6×associate-/l*
4×pow1 neg-mul-1
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg clear-num
1×rec-exp pow-flip 1-exp associate-/r/ fma-udef distribute-neg-frac inv-pow
Counts
3 → 181
Calls
3 calls:
0.0ms
(fma x (- y) (* t z))
15.0ms
(/ 1 (- (/ a (fma x (- y) (* t z)))))
5.0ms
(/ a (fma x (- y) (* t z)))

series13.0ms