Details

Time bar (total: 7.9s)

analyze866.0ms (10.9%)

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
6.2%90.4%3.4%6
6.2%90.4%3.4%7
6.2%88.8%5%8
7.8%77.9%14.3%9
7.8%56.5%35.7%10
7.8%56.5%35.7%11
8.1%41.5%50.3%12
8.3%41.4%50.3%13
8.4%40.2%51.4%14

sample108.0ms (1.4%)

Algorithm
intervals
Results
33.0ms440×body80nan
20.0ms256×body80valid
16.0ms211×body80invalid

simplify41.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0507916

prune18.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.6b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite34.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod
10×pow1 add-log-exp
associate-*r* associate-*l*
distribute-rgt-in distribute-lft-in
exp-prod
times-frac prod-exp associate-/r* cbrt-unprod rem-exp-log
cbrt-undiv exp-diff diff-log div-exp exp-sum pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
sub-neg flip3-- frac-2neg associate-*r/ associate--l+ clear-num sum-log flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 94
Calls

4 calls:

11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
8.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
8.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))

series129.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

67.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
46.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))

simplify29.0ms (0.4%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050161237

prune209.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1015106
Fresh101
Picked011
Done000
Total1026108

Merged error: 0.0b

Counts
108 → 6

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(/ y (* (pow z y) (pow a (- t 1.0))))
0.1b
(pow a (- t 1.0))
1.5b
(/ x (* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b)))
1.9b
(* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b))

rewrite37.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
49×prod-exp
42×div-exp
32×add-cbrt-cube
19×pow-to-exp pow-exp
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
10×cbrt-undiv
times-frac cbrt-unprod
associate-*l*
pow1
associate-/l*
pow-unpow
add-log-exp
unpow-prod-down associate-*r* associate-/r/ div-inv pow-sub
frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
unpow-prod-up sub-neg pow-pow pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 121
Calls

4 calls:

11.0ms
(/ x (* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b)))
11.0ms
(* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b))
6.0ms
(/ y (* (pow z y) (pow a (- t 1.0))))
4.0ms
(pow a (- t 1.0))

series191.0ms (2.4%)

Counts
4 → 12
Calls

4 calls:

69.0ms
(/ x (* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b)))
66.0ms
(* (/ y (* (pow z y) (pow a (- t 1.0)))) (exp b))
44.0ms
(/ y (* (pow z y) (pow a (- t 1.0))))
12.0ms
(pow a (- t 1.0))

simplify53.0ms (0.7%)

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049681865
149681865

prune230.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1312133
Fresh224
Picked101
Done011
Total1345139

Merged error: 0.0b

Counts
139 → 5

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(* (exp b) (pow a 1.0))
0.0b
(/ y (* (pow z y) (pow a t)))
0.0b
(* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0)))
1.5b
(/ x (* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0))))

rewrite52.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
333×add-exp-log
238×prod-exp
135×div-exp
77×pow-to-exp pow-exp
61×add-cbrt-cube
24×cbrt-unprod
18×add-sqr-sqrt
17×cbrt-undiv
13×add-cube-cbrt *-un-lft-identity
10×associate-*l*
times-frac
associate-*r*
pow1 associate-/l*
unpow-prod-down add-log-exp
div-inv unswap-sqr
frac-2neg associate-*l/ clear-num associate-/r* *-commutative sqr-pow
pow-prod-down associate-/r/
Counts
4 → 192
Calls

4 calls:

14.0ms
(/ x (* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0))))
12.0ms
(* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0)))
6.0ms
(* (exp b) (pow a 1.0))
6.0ms
(/ y (* (pow z y) (pow a t)))

series295.0ms (3.7%)

Counts
4 → 12
Calls

4 calls:

119.0ms
(/ x (* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0))))
105.0ms
(* (/ y (* (pow z y) (pow a t))) (* (exp b) (pow a 1.0)))
38.0ms
(/ y (* (pow z y) (pow a t)))
34.0ms
(* (exp b) (pow a 1.0))

simplify83.0ms (1%)

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049743108
149743108

prune326.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2013204
Fresh213
Picked011
Done011
Total2036209

Merged error: 0b

Counts
209 → 6

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(* (/ (pow z y) y) (pow a t))
0.0b
(* (pow a 1.0) (exp b))
0.1b
(/ (* (/ (pow z y) y) (pow a t)) (* (pow a 1.0) (exp b)))
1.5b
(* x (/ (* (/ (pow z y) y) (pow a t)) (* (pow a 1.0) (exp b))))

rewrite63.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
380×add-exp-log
242×prod-exp
185×div-exp
90×pow-to-exp pow-exp
61×add-cbrt-cube
58×add-sqr-sqrt
35×associate-*l*
32×times-frac
25×add-cube-cbrt *-un-lft-identity
24×cbrt-unprod
23×unpow-prod-down
17×cbrt-undiv
16×unswap-sqr
15×associate-*r*
13×sqr-pow
pow1
add-log-exp
*-commutative div-inv
associate-*l/
frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 243
Calls

4 calls:

18.0ms
(* x (/ (* (/ (pow z y) y) (pow a t)) (* (pow a 1.0) (exp b))))
12.0ms
(/ (* (/ (pow z y) y) (pow a t)) (* (pow a 1.0) (exp b)))
11.0ms
(* (/ (pow z y) y) (pow a t))
6.0ms
(* (pow a 1.0) (exp b))

series316.0ms (4%)

Counts
4 → 12
Calls

4 calls:

130.0ms
(* x (/ (* (/ (pow z y) y) (pow a t)) (* (pow a 1.0) (exp b))))
120.0ms
(/ (* (/ (pow z y) y) (pow a t)) (* (pow a 1.0) (exp b)))
35.0ms
(* (pow a 1.0) (exp b))
30.0ms
(* (/ (pow z y) y) (pow a t))

simplify89.0ms (1.1%)

Algorithm
egg-herbie
Counts
255 → 255
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050143906

prune391.0ms (4.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2550255
Fresh033
Picked011
Done022
Total2556261

Merged error: 0b

Counts
261 → 6

regimes985.0ms (12.4%)

Accuracy

Total 2.1b remaining (99.3%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03918
13918

end0.0ms (0%)

sample3.3s (41.6%)

Algorithm
intervals
Results
1.0s14361×body80nan
668.0ms8000×body80valid
572.0ms7145×body80invalid

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