Details

Time bar (total: 4.2s)

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
1.1%98.6%0.3%12
1.9%97.8%0.3%13
7%92.7%0.3%14

sample26.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
0528421

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 26.7b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- a b))
1.2b
(+ (* t a) (* y (- a b)))
3.3b
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
24.9b
(/ (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))) (+ x (+ y t)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
20×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
12×flip3-+ flip-+ distribute-lft-out
11×add-log-exp
8×add-exp-log associate-*l/ frac-add add-cbrt-cube
6×pow1 associate-/l/
5×associate-*r* associate-/r*
4×sub-neg sum-log
3×associate-+r+ associate-*l* associate-/l*
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/ associate-/r/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 97
Calls
4 calls:
6.0ms
(* y (- a b))
4.0ms
(+ (* t a) (* y (- a b)))
10.0ms
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
20.0ms
(/ (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))) (+ x (+ y t)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* y (- a b))
10.0ms
(+ (* t a) (* y (- a b)))
29.0ms
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
144.0ms
(/ (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))) (+ x (+ y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051972234

prune172.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1018109
Fresh000
Picked011
Done000
Total1019110

Merged error: 6.5b

Counts
110 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))
1.2b
(+ (* t a) (* y (- a b)))
3.3b
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
25.0b
(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
156×*-un-lft-identity
150×times-frac
76×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
32×flip3-+ flip-+
31×associate-/r/
28×associate-/r*
24×associate-*l/ frac-add
17×add-exp-log
11×add-cbrt-cube add-log-exp
8×div-exp associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv sum-log
3×associate-+r+
2×+-commutative sub-neg rec-exp frac-2neg 1-exp clear-num associate-/l/
1×distribute-rgt-in pow-flip distribute-lft-in inv-pow
Counts
4 → 197
Calls
4 calls:
19.0ms
(/ 1 (/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))
5.0ms
(+ (* t a) (* y (- a b)))
10.0ms
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
16.0ms
(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

series216.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(/ 1 (/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))
9.0ms
(+ (* t a) (* y (- a b)))
29.0ms
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
38.0ms
(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
051707210

prune287.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2081209
Fresh167
Picked011
Done011
Total2099218

Merged error: 6.5b

Counts
218 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
1.2b
(+ (* t a) (* y (- a b)))
3.3b
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
23.9b
(/ (/ 1 (+ x (+ y t))) (/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
906×times-frac
646×*-un-lft-identity
346×add-sqr-sqrt add-cube-cbrt
180×distribute-lft-out
179×associate-/r/
141×flip3-+ flip-+
96×associate-*l/ frac-add
48×add-exp-log
44×div-inv
34×div-exp
24×associate-/l*
22×associate-/r*
18×add-cbrt-cube
11×add-log-exp
9×cbrt-undiv rec-exp 1-exp
5×pow1
4×sum-log
3×associate-+r+
2×+-commutative sub-neg frac-2neg clear-num
1×distribute-rgt-in pow-flip distribute-lft-in associate-/l/ inv-pow
Counts
4 → 538
Calls
4 calls:
11.0ms
(/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
4.0ms
(+ (* t a) (* y (- a b)))
12.0ms
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
28.0ms
(/ (/ 1 (+ x (+ y t))) (/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
9.0ms
(+ (* t a) (* y (- a b)))
31.0ms
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
160.0ms
(/ (/ 1 (+ x (+ y t))) (/ 1 (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))

simplify183.0ms

Algorithm
egg-herbie
Counts
550 → 550
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0503527424

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New5482550
Fresh246
Picked011
Done022
Total5509559

Merged error: 6.5b

Counts
559 → 9

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

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