Details

Time bar (total: 13.6s)

sample27.0ms

Algorithm
intervals
Results
7.0ms256×pre80true
7.0ms256×body80valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2417
3757
4937
done937

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ b c) d)
0.1b
(* a (+ (+ b c) d))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
add-sqr-sqrt distribute-lft-out add-log-exp
add-cube-cbrt associate-*r*
pow1 add-exp-log fma-def add-cbrt-cube
associate-*l* sum-log
expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
41.0ms
(+ (+ b c) d)
134.0ms
(* a (+ (+ b c) d))

series65.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (+ b c) d)
36.0ms
(* a (+ (+ b c) d))

simplify3.0s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
070428
1186407
2721369
34206367
done5000367

prune179.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ b c) a)
0.0b
(+ (* (+ b c) a) (* d a))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
+-commutative distribute-rgt-out fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 38
Calls
2 calls:
50.0ms
(* (+ b c) a)
30.0ms
(+ (* (+ b c) a) (* d a))

series73.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (+ b c) a)
35.0ms
(+ (* (+ b c) a) (* d a))

simplify3.6s

Counts
44 → 44
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
072419
1203356
2830344
34162328
done5000328

prune142.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (+ b c) a (* d a))

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:
0.0ms
(fma (+ b c) a (* d a))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma (+ b c) a (* d a))

simplify3.7s

Counts
13 → 13
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
022136
135130
289116
3518102
43733102
done5000102

prune66.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
0.1b
(sqrt (* (+ b c) a))
0.1b
(sqrt (* (+ b c) a))
0.5b
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
flip3-+ flip-+
add-cube-cbrt *-un-lft-identity
add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* log1p-expm1-u
associate-*r/
+-commutative pow2 fma-def pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod unswap-sqr
Counts
4 → 103
Calls
4 calls:
122.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
14.0ms
(sqrt (* (+ b c) a))
9.0ms
(sqrt (* (+ b c) a))
113.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
174.0ms
(sqrt (* (+ b c) a))
137.0ms
(sqrt (* (+ b c) a))
49.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify1.3s

Counts
115 → 115
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01281610
13001040
21091960
done5000932

prune371.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes2.0ms