Details

Time bar (total: 5.0s)

analyze1.4s (28.9%)

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

sample27.0ms (0.5%)

Algorithm
intervals
Results
14.0ms256×body80valid

simplify56.0ms (1.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
0528421

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 27.0b

Counts
2 → 1

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
1.3b
(+ (* (+ x y) z) (* (+ t y) a))
1.6b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.2b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite45.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
add-exp-log add-cbrt-cube
flip3-+ flip-+
pow1
associate-/r*
associate-*l* frac-add
associate-*r* associate-/l*
flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 89
Calls

4 calls:

19.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
10.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms
(+ (* (+ x y) z) (* (+ t y) a))
6.0ms
(* (+ x y) z)

series197.0ms (4%)

Counts
4 → 12
Calls

4 calls:

144.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))
30.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
16.0ms
(+ (* (+ x y) z) (* (+ t y) a))
6.0ms
(* (+ x y) z)

simplify46.0ms (0.9%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
052232056

prune184.0ms (3.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9110101
Fresh000
Picked101
Done000
Total9210102

Merged error: 5.3b

Counts
102 → 10

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
1.3b
(+ (* (+ x y) z) (* (+ y t) a))
2.6b
(* (/ y (+ x (+ y t))) b)
22.2b
(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))

rewrite41.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
33×add-sqr-sqrt
31×times-frac
26×add-cube-cbrt
25×associate-*l*
22×distribute-lft-out
19×associate-*l/
13×add-exp-log flip3-+ add-cbrt-cube flip-+
pow1 frac-add
associate-*r* associate-/l/ add-log-exp
associate-/r*
associate-/r/
prod-exp cbrt-unprod associate-/l* unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
+-commutative frac-2neg clear-num sum-log
Counts
4 → 119
Calls

4 calls:

14.0ms
(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))
10.0ms
(* (/ y (+ x (+ y t))) b)
7.0ms
(+ (* (+ x y) z) (* (+ y t) a))
6.0ms
(* (+ x y) z)

series112.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

61.0ms
(/ (+ (* (+ x y) z) (* (+ y t) a)) (+ x (+ y t)))
28.0ms
(* (/ y (+ x (+ y t))) b)
18.0ms
(+ (* (+ x y) z) (* (+ y t) a))
5.0ms
(* (+ x y) z)

simplify44.0ms (0.9%)

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050072019

prune184.0ms (3.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1283131
Fresh369
Picked011
Done000
Total13110141

Merged error: 2.3b

Counts
141 → 10

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(- z (* (/ y (+ x (+ y t))) b))
0.0b
(/ y (+ x (+ y t)))
2.6b
(* (/ y (+ x (+ y t))) b)

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
31×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
21×associate-*l* distribute-lft-out
10×add-exp-log add-cbrt-cube
pow1 associate-/r* add-log-exp
associate-/r/
associate-*r* associate-/l*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
sub-neg flip3-- frac-2neg diff-log pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
3 → 88
Calls

3 calls:

10.0ms
(* (/ y (+ x (+ y t))) b)
7.0ms
(/ y (+ x (+ y t)))
3.0ms
(- z (* (/ y (+ x (+ y t))) b))

series66.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

29.0ms
(* (/ y (+ x (+ y t))) b)
26.0ms
(- z (* (/ y (+ x (+ y t))) b))
10.0ms
(/ y (+ x (+ y t)))

simplify43.0ms (0.9%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051851030

prune152.0ms (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New94397
Fresh088
Picked101
Done011
Total9512107

Merged error: 2.3b

Counts
107 → 12

localize15.0ms (0.3%)

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)))
1.9b
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
25.3b
(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))

rewrite58.0ms (1.2%)

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
div-exp associate-/l*
div-inv
pow1
cbrt-undiv sum-log
associate-+r+
+-commutative sub-neg rec-exp frac-2neg 1-exp clear-num associate-/l/
distribute-rgt-in pow-flip distribute-lft-in inv-pow
Counts
4 → 197
Calls

4 calls:

20.0ms
(/ 1 (/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))
15.0ms
(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
9.0ms
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
4.0ms
(+ (* t a) (* y (- a b)))

series214.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

137.0ms
(/ 1 (/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b))))))
34.0ms
(/ (+ x (+ y t)) (+ (* (+ x y) z) (+ (* t a) (* y (- a b)))))
33.0ms
(+ (* (+ x y) z) (+ (* t a) (* y (- a b))))
10.0ms
(+ (* t a) (* y (- a b)))

simplify79.0ms (1.6%)

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
051707210

prune244.0ms (4.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New2063209
Fresh3710
Picked011
Done011
Total20912221

Merged error: 2.3b

Counts
221 → 12

regimes858.0ms (17.3%)

Accuracy

Total 18.2b remaining (85.4%)

Threshold costs 0b (0%)

bsearch79.0ms (1.6%)

Steps
ItersRangePoint
8
2.5569926869022444e-27
2.0694810848277253e-23
1.499046436222361e-23
8
-9.357547701493961e+58
-4.956426610317411e+54
-2.3432962437726123e+57
8
-1.101918752673213e+224
-6.424807014507973e+220
-1.0435287910912604e+224
7
-5.098234992313275e+257
-2.1918027722182807e+255
-1.788086194814728e+257

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
013877
113877

end0.0ms (0%)

sample716.0ms (14.4%)

Algorithm
intervals
Results
447.0ms7998×body80valid
0.0msbody1280valid
0.0msbody320valid

Profiling

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