Details

Time bar (total: 8.8s)

sample86.0ms

Algorithm
intervals
Results
49.0ms413×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (425.0ms)

IterNodesCost
01821
13821
211819
341619
4137718
done500018

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma a (- 1.0 t) x)
0.0b
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) 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
2 → 20
Calls
2 calls:
0.0ms
(fma a (- 1.0 t) x)
0.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

series298.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(fma a (- 1.0 t) x)
252.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

simplify729.0ms

Counts
26 → 26
Iterations

Useful iterations: 3 (137.0ms)

IterNodesCost
050384
195377
2210323
3727321
done5001321

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a (- 1.0 t) x)
0.0b
(fma a (- 1.0 t) x)
0.0b
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))))
0.3b
(* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×pow1
18×sqrt-prod
12×add-cube-cbrt *-un-lft-identity
sqrt-pow1 pow1/2 swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube
pow-prod-up
expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr fma-udef
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(fma a (- 1.0 t) x)
1.0ms
(fma a (- 1.0 t) x)
1.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))))
25.0ms
(* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma a (- 1.0 t) x)
39.0ms
(fma a (- 1.0 t) x)
231.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))))
49.0ms
(* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0961588
11721042
2405900
31406865
done5001838

prune472.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* t (- b a)) (* z y))
0.0b
(* t (- b a))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
37×prod-diff
32×add-sqr-sqrt
30×*-un-lft-identity
28×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in associate--l+
sub-neg associate-*r*
pow1 add-exp-log add-cbrt-cube add-log-exp
associate-*l*
expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 84
Calls
2 calls:
29.0ms
(- (* t (- b a)) (* z y))
52.0ms
(* t (- b a))

series120.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(- (* t (- b a)) (* z y))
58.0ms
(* t (- b a))

simplify2.4s

Counts
90 → 90
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01431323
13041033
2686866
32575804
done5000709

prune341.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt b) (cbrt b))
0.6b
(cbrt b)
0.6b
(cbrt b)
0.6b
(cbrt b)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt b) (cbrt b))
1.0ms
(cbrt b)
1.0ms
(cbrt b)
1.0ms
(cbrt b)

series0.0ms