Details

Time bar (total: 7.6s)

sample46.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
10.0ms256×pre80true

simplify680.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2539
31509
43519
55689
66479
76619
done6619

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.9b
(+ a (+ b (+ c d)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-log-exp
9×sum-log distribute-lft-out
6×fma-def
4×add-sqr-sqrt add-cube-cbrt
2×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
2 → 42
Calls
2 calls:
32.0ms
(+ b (+ c d))
82.0ms
(+ a (+ b (+ c d)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ b (+ c d))
50.0ms
(+ a (+ b (+ c d)))

simplify771.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
060378
1181347
2863333
done5000333

prune199.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.3b

localize9.0ms

Local error

Found 1 expressions with local error:

2.9b
(+ a (+ (+ b c) d))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
6×sum-log distribute-lft-out
3×fma-def
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 22
Calls
1 calls:
112.0ms
(+ a (+ (+ b c) d))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(+ a (+ (+ b c) d))

simplify661.0ms

Counts
25 → 25
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
041223
1117210
2612196
done5001196

prune102.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.9b
(+ a (+ (+ b c) d))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
6×add-sqr-sqrt add-cube-cbrt unpow-prod-down cube-prod sum-log
3×fma-def
2×pow1 add-exp-log cube-div expm1-log1p-u cbrt-div flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
1×+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 53
Calls
2 calls:
116.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
114.0ms
(+ a (+ (+ b c) d))

series122.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
47.0ms
(+ a (+ (+ b c) d))

simplify1.2s

Counts
59 → 59
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
086805
1236614
21319577
done5001577

prune195.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ (+ a (+ b c)) d) 3))
2.9b
(+ (+ a (+ b c)) d)

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
21×distribute-lft-out
18×cbrt-prod
11×add-log-exp
6×add-sqr-sqrt add-cube-cbrt unpow-prod-down cube-prod sum-log
5×fma-def
2×pow1 add-exp-log cube-div expm1-log1p-u cbrt-div flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
1×+-commutative cube-mult associate-+l+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 55
Calls
2 calls:
155.0ms
(cbrt (pow (+ (+ a (+ b c)) d) 3))
130.0ms
(+ (+ a (+ b c)) d)

series118.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(cbrt (pow (+ (+ a (+ b c)) d) 3))
36.0ms
(+ (+ a (+ b c)) d)

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: 2 (177.0ms)

IterNodesCost
086805
1230622
21261585
done5000585

prune156.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01111
1189
2199
done199

end0.0ms

sample1.3s

Algorithm
intervals
Results
408.0ms8000×body80valid
326.0ms8000×pre80true