Details

Time bar (total: 2.5m)

sample63.0ms

Algorithm
intervals
Results
20.0ms453×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune7.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
7.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms
(+ (* x y) (* z t))
5.0ms
(+ (+ (* x y) (* z t)) (* a b))

series292.0ms

Counts
3 → 9
Calls
3 calls:
206.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
35.0ms
(+ (* x y) (* z t))
51.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0276348
11151333
25001333

prune256.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh000
Picked011
Done000
Total46248

Merged error: 0.0b

Counts
48 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.2b
(pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3)
43.4b
(cbrt (pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ sum-log flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp associate-+l+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 72
Calls
4 calls:
3.0ms
(+ (* x y) (* z t))
5.0ms
(+ (+ (* x y) (* z t)) (* a b))
10.0ms
(pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3)
8.0ms
(cbrt (pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3))

series2.5m

Calls
1 calls:
208.0ms
(cbrt (pow (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)) 3))

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