Details

Time bar (total: 2.1s)

sample28.0ms

Algorithm
intervals
Results
14.0ms261×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
0507911

prune11.0ms

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: 3.6b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.1b
(* (+ t1 u) (- -1 (/ u t1)))
4.4b
(/ v (* (+ t1 u) (- -1 (/ u t1))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt flip3-- flip--
flip3-+ associate-*r* flip-+
pow1 times-frac add-log-exp
associate-*r/ associate-*l* associate-*l/ difference-of-squares
sub-neg associate-/l*
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out--
frac-2neg diff-log pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out unswap-sqr
Counts
3 → 78
Calls
3 calls:
6.0ms
(- -1 (/ u t1))
11.0ms
(* (+ t1 u) (- -1 (/ u t1)))
11.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))

series23.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- -1 (/ u t1))
5.0ms
(* (+ t1 u) (- -1 (/ u t1)))
15.0ms
(/ v (* (+ t1 u) (- -1 (/ u t1))))

simplify51.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049561023
149561023

prune126.0ms

Filtered
62 candidates to 87 candidates (-40.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New80787
Fresh101
Picked011
Done000
Total81889

Merged error: 0.2b

Counts
89 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ v (+ t1 u))
0.8b
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
187×add-sqr-sqrt
177×*-un-lft-identity
87×add-cube-cbrt
40×difference-of-squares
25×distribute-lft-out
21×associate-/l*
20×distribute-lft-out--
18×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
div-inv
flip3-+ flip-+
add-log-exp
cbrt-undiv div-exp
pow1
flip3-- frac-2neg clear-num flip--
sub-neg diff-log associate-/l/
Counts
3 → 197
Calls
3 calls:
6.0ms
(- -1 (/ u t1))
5.0ms
(/ v (+ t1 u))
14.0ms
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- -1 (/ u t1))
9.0ms
(/ v (+ t1 u))
14.0ms
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))

simplify81.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049923734
149923734

prune224.0ms

Filtered
136 candidates to 206 candidates (-51.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2051206
Fresh066
Picked011
Done011
Total2059214

Merged error: 0.2b

Counts
214 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.0b
(- -1 (/ u t1))
0.6b
(* (- -1 (/ u t1)) (/ (+ t1 u) v))
0.7b
(/ 1 (* (- -1 (/ u t1)) (/ (+ t1 u) v)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
39×add-sqr-sqrt
32×add-exp-log
30×times-frac
24×add-cube-cbrt
20×add-cbrt-cube
16×associate-*r*
11×div-exp
pow1
prod-exp
distribute-lft-out associate-/l*
cbrt-undiv associate-*l* add-log-exp
flip3-- associate-/r/ flip--
frac-times associate-*l/ associate-/r* cbrt-unprod difference-of-squares
rec-exp 1-exp div-inv
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num associate-/l/ distribute-lft-out-- unswap-sqr
sub-neg flip3-+ diff-log *-commutative flip-+ inv-pow
Counts
4 → 127
Calls
4 calls:
5.0ms
(/ (+ t1 u) v)
6.0ms
(- -1 (/ u t1))
14.0ms
(* (- -1 (/ u t1)) (/ (+ t1 u) v))
13.0ms
(/ 1 (* (- -1 (/ u t1)) (/ (+ t1 u) v)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (+ t1 u) v)
5.0ms
(- -1 (/ u t1))
9.0ms
(* (- -1 (/ u t1)) (/ (+ t1 u) v))
20.0ms
(/ 1 (* (- -1 (/ u t1)) (/ (+ t1 u) v)))

simplify53.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049811461
149811461

prune146.0ms

Filtered
94 candidates to 139 candidates (-47.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh066
Picked011
Done022
Total1399148

Merged error: 0.2b

Counts
148 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ 1 (+ t1 u))
1.1b
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
1.9b
(/ v (- -1 (/ u t1)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
75×times-frac
74×*-un-lft-identity
42×add-cube-cbrt
32×add-exp-log
24×associate-*r*
20×add-cbrt-cube
18×associate-*l*
16×difference-of-squares
11×div-exp
10×associate-/r*
prod-exp associate-/r/ distribute-lft-out--
pow1 distribute-lft-out
cbrt-undiv associate-/l* add-log-exp unswap-sqr
cbrt-unprod div-inv
rec-exp flip3-- 1-exp flip--
frac-2neg flip3-+ clear-num flip-+
frac-times sub-neg pow-flip diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 165
Calls
4 calls:
6.0ms
(- -1 (/ u t1))
5.0ms
(/ 1 (+ t1 u))
23.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
8.0ms
(/ v (- -1 (/ u t1)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- -1 (/ u t1))
4.0ms
(/ 1 (+ t1 u))
19.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
7.0ms
(/ v (- -1 (/ u t1)))

simplify60.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050941926

prune177.0ms

Filtered
118 candidates to 177 candidates (-50.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1761177
Fresh145
Picked101
Done033
Total1788186

Merged error: 0.2b

Counts
186 → 8

regimes226.0ms

Accuracy

0% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11011

end0.0ms

sample591.0ms

Algorithm
intervals
Results
275.0ms8251×body80valid

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