Details

Time bar (total: 6.2s)

sample61.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
15.0ms256×pre80true

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2397
3657
done657

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
117.0ms
(* a (+ (+ b c) d))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* a (+ (+ b c) d))

simplify2.3s

Counts
27 → 27
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
052255
1147240
2563216
33281212
done5002212

prune64.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-+ associate-*l/ flip-+
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
23.0ms
(+ (* (+ b c) a) (* d a))
20.0ms
(* (+ b c) a)

series69.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* (+ b c) a) (* d a))
26.0ms
(* (+ b c) a)

simplify3.0s

Counts
39 → 39
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
068387
1191329
2769303
33744301
done5000301

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
26.0ms
(* (+ b c) a)
7.0ms
(sqrt (* (+ b c) a))
12.0ms
(sqrt (* (+ b c) a))
97.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series57.0ms

Calls
1 calls:
43.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))