Details

Time bar (total: 9.1s)

sample34.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms256×pre80true

simplify462.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2539
31509
42959
53669
63689
done3689

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.7b
(+ a (+ b (+ c d)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-log-exp
sum-log distribute-lft-out
fma-def
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
2 → 42
Calls
2 calls:
22.0ms
(+ b (+ c d))
92.0ms
(+ a (+ b (+ c d)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ b (+ c d))
45.0ms
(+ a (+ b (+ c d)))

simplify2.4s

Counts
48 → 48
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
060378
1177347
2704333
34191333
done5000333

prune171.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
sum-log distribute-lft-out
fma-def
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 22
Calls
1 calls:
125.0ms
(+ a (+ (+ b c) d))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(+ a (+ (+ b c) d))

simplify1.8s

Counts
25 → 25
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
041223
1113210
2479196
33094196
done5000196

prune96.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.5b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.7b
(+ a (+ (+ b c) d))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
add-sqr-sqrt add-cube-cbrt unpow-prod-down cube-prod sum-log
fma-def
pow1 add-exp-log cube-div expm1-log1p-u cbrt-div flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 53
Calls
2 calls:
153.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
103.0ms
(+ a (+ (+ b c) d))

series137.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
53.0ms
(+ a (+ (+ b c) d))

simplify807.0ms

Counts
59 → 59
Iterations

Useful iterations: done (804.0ms)

IterNodesCost
086805
1215614
2816577
done5001575

prune249.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.8b

localize17.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
sum-log distribute-lft-out
fma-def
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 22
Calls
1 calls:
104.0ms
(+ a (+ (+ b c) d))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(+ a (+ (+ b c) d))

simplify2.1s

Counts
25 → 25
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
041223
1113210
2479196
33094196
done5000196

prune38.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.8b

regimes5.0ms