Details

Time bar (total: 7.7s)

analyze1.0s

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
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample31.0ms

Algorithm
intervals
Results
8.0ms207×body80valid
2.0ms15×body640valid
2.0ms12×body1280valid
2.0ms39×body80invalid
1.0ms14×body320valid
1.0ms7×body160valid
0.0ms1×body2560valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
0505113

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: 11.7b

Counts
2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.8b
(+ x (* (- y x) (/ (- z t) (- a t))))
2.8b
(* (- y x) (/ (- z t) (- a t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ (- z t) (- a t))
3.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
16.0ms
(* (- y x) (/ (- z t) (- a t)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- a t))
52.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
32.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
055681598

prune170.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11711128
Fresh011
Picked101
Done000
Total11812130

Merged error: 4.0b

Counts
130 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.3b
(/ 1 (/ (- a t) (- z t)))
1.8b
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))
2.8b
(* (- y x) (/ 1 (/ (- a t) (- z t))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
338×add-sqr-sqrt
326×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
83×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
11×flip3-- flip--
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×cbrt-unprod
2×frac-times frac-2neg associate-*l/ clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 344
Calls
4 calls:
7.0ms
(/ (- a t) (- z t))
11.0ms
(/ 1 (/ (- a t) (- z t)))
3.0ms
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))
36.0ms
(* (- y x) (/ 1 (/ (- a t) (- z t))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (- a t) (- z t))
17.0ms
(/ 1 (/ (- a t) (- z t)))
51.0ms
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))
41.0ms
(* (- y x) (/ 1 (/ (- a t) (- z t))))

simplify73.0ms

Algorithm
egg-herbie
Counts
356 → 356
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
052554991

prune316.0ms

Filtered
207 candidates to 356 candidates (-72.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New3515356
Fresh5611
Picked101
Done000
Total35711368

Merged error: 4.0b

Counts
368 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.8b
(+ x (/ (- y x) (/ (- a t) (- z t))))
2.5b
(/ (- y x) (/ (- a t) (- z t)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
7.0ms
(/ (- a t) (- z t))
40.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
15.0ms
(/ (- y x) (/ (- a t) (- z t)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- a t) (- z t))
50.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
47.0ms
(/ (- y x) (/ (- a t) (- z t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051595477

prune214.0ms

Filtered
171 candidates to 283 candidates (-65.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2812283
Fresh2810
Picked011
Done000
Total28311294

Merged error: 4.0b

Counts
294 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
2.8b
(* (- y x) (* (- z t) (/ 1 (- a t))))
3.5b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a t))
12.0ms
(* (- z t) (/ 1 (- a t)))
15.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a t))
9.0ms
(* (- z t) (/ 1 (- a t)))
33.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
52.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051911774

prune128.0ms

Filtered
101 candidates to 158 candidates (-56.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1571158
Fresh279
Picked101
Done011
Total1609169

Merged error: 4.0b

Counts
169 → 9

regimes462.0ms

Accuracy

24.9% (6.2b remaining)

Error of 9.5b against oracle of 3.3b and baseline of 11.5b

bsearch2.5s

Steps
ItersRangePoint
5
1.6607050624792959e-84
4.363531321970617e-84
3.17042561904086e-84
10
-6.696106003580682e-38
-4.984048836697656e-51
-5.1545916501600656e-51

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731
12731

end0.0ms

analyze1.0s

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
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample788.0ms

Algorithm
intervals
Results
265.0ms6575×body80valid
71.0ms475×body640valid
56.0ms300×body1280valid
47.0ms1239×body80invalid
46.0ms403×body320valid
17.0ms233×body160valid
3.0ms14×body2560valid

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