Details

Time bar (total: 5.2s)

analyze904.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms66×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0689
1689

prune13.0ms

Filtered
1 candidates to 1 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 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.4b
(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series37.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (/ (* y (- z t)) a))
10.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
06177575

prune85.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New62668
Fresh011
Picked101
Done000
Total63770

Merged error: 0.0b

Counts
70 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.7b
(/ y (/ a (- z t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip-- add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
18.0ms
(+ x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
8.0ms
(/ y (/ a (- z t)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050902026

prune149.0ms

Filtered
119 candidates to 160 candidates (-34.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1582160
Fresh336
Picked011
Done000
Total1616167

Merged error: 0b

Counts
167 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
5.9b
(* (/ y a) (- z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 sub-neg add-log-exp
distribute-rgt-in frac-times associate-+r+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
3.0ms
(+ x (* (/ y a) (- z t)))
9.0ms
(* (/ y a) (- z t))

series31.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ x (* (/ y a) (- z t)))
15.0ms
(* (/ y a) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05116583

prune67.0ms

Filtered
45 candidates to 59 candidates (-31.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh044
Picked011
Done011
Total59665

Merged error: 0b

Counts
65 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (- z t)) (/ 1 a)))
0.0b
(* y (- z t))
6.5b
(* (* y (- z t)) (/ 1 a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
times-frac
associate-*r/ cbrt-unprod
add-log-exp
div-exp associate-*l* pow-prod-down
flip3-- flip--
cbrt-undiv frac-times sub-neg rec-exp 1-exp associate-*l/ *-commutative
+-commutative distribute-rgt-in distribute-lft-in flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 77
Calls
3 calls:
3.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
6.0ms
(* y (- z t))
10.0ms
(* (* y (- z t)) (/ 1 a))

series36.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
7.0ms
(* y (- z t))
12.0ms
(* (* y (- z t)) (/ 1 a))

simplify44.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05057745

prune68.0ms

Filtered
52 candidates to 86 candidates (-65.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done022
Total86692

Merged error: 0b

Counts
92 → 6

regimes630.0ms

Accuracy

23.8% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.5b

bsearch1.3s

Steps
ItersRangePoint
9
1.964413492914256e+249
2.019975675018228e+255
3.383832292408153e+254
6
7.036681099024886e-09
5.575441443006657e-08
7.123466189650817e-09
6
-4.732312148550428e+141
-7.64958910411417e+140
-7.801339917478246e+140

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03867
13867

end0.0ms

analyze873.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample704.0ms

Algorithm
intervals
Results
283.0ms8000×body80valid
87.0ms2566×body80invalid

Profiling

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