Details

Time bar (total: 2.5min)

analyze1.5s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample55.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
10.0ms188×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06615
16615

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:
4.0ms
(+ (* x y) (* z t))
9.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms
(+ (+ (* x y) (* z t)) (* a b))

series142.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* x y) (* z t))
109.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
23.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify44.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04895677
14895677

prune82.0ms

Filtered
36 candidates to 47 candidates (-30.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh000
Picked011
Done000
Total44448

Merged error: 0.0b

Counts
48 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
0.6b
(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.6b
(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.6b
(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
23.0ms
(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
9.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
7.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
56.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
73.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))
55.0ms
(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049472087
149472087

prune207.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0.0b

Counts
103 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (+ (* z t) (* a b)))
0.0b
(+ (* z t) (* a b))
0.3b
(pow (+ (* x y) (+ (* z t) (* a b))) 3)
36.1b
(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

rewrite44.0ms

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-+r+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 72
Calls
4 calls:
11.0ms
(+ (* x y) (+ (* z t) (* a b)))
7.0ms
(+ (* z t) (* a b))
12.0ms
(pow (+ (* x y) (+ (* z t) (* a b))) 3)
11.0ms
(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

series1.9s

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x y) (+ (* z t) (* a b)))
10.0ms
(+ (* z t) (* a b))
1.8s
(pow (+ (* x y) (+ (* z t) (* a b))) 3)
35.0ms
(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

simplify38.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050921292

prune93.0ms

Filtered
53 candidates to 84 candidates (-58.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done022
Total84488

Merged error: 0.0b

Counts
88 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (+ (* z t) (+ (* a b) (* c i))))
0.0b
(+ (* z t) (+ (* a b) (* c i)))
0.2b
(pow (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))) 3)
42.6b
(cbrt (pow (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))) 3))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×add-log-exp
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×sum-log
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div associate-+r+ unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 75
Calls
4 calls:
9.0ms
(+ (* x y) (+ (* z t) (+ (* a b) (* c i))))
6.0ms
(+ (* z t) (+ (* a b) (* c i)))
9.0ms
(pow (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))) 3)
11.0ms
(cbrt (pow (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))) 3))

series2.4min

Calls
1 calls:
121.0ms
(cbrt (pow (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))) 3))

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