Details

Time bar (total: 2.1s)

sample25.0ms

Algorithm
intervals
Results
13.0ms265×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
0490111
1490111

prune9.0ms

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: 3.3b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.1b
(* (+ t1 u) (- -1 (/ u t1)))
4.9b
(/ 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
8×frac-times associate-/r/
7×add-cube-cbrt flip3-- flip--
6×flip3-+ associate-*r* flip-+
5×pow1 times-frac add-log-exp
4×associate-*r/ associate-*l* associate-*l/ difference-of-squares
3×sub-neg associate-/l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out--
1×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))))

series26.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050521023

prune115.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80787
Fresh011
Picked101
Done000
Total81889

Merged error: 0.0b

Counts
89 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ 1 (+ t1 u))
0.4b
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
3.2b
(/ v (- -1 (/ u t1)))

rewrite47.0ms

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*
8×prod-exp associate-/r/ distribute-lft-out--
7×pow1 distribute-lft-out
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
4×cbrt-unprod div-inv
3×rec-exp flip3-- 1-exp flip--
2×frac-2neg flip3-+ clear-num flip-+
1×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))
21.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
8.0ms
(/ v (- -1 (/ u t1)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- -1 (/ u t1))
4.0ms
(/ 1 (+ t1 u))
20.0ms
(* (/ 1 (+ t1 u)) (/ v (- -1 (/ u t1))))
7.0ms
(/ v (- -1 (/ u t1)))

simplify45.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051381926

prune177.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1752177
Fresh257
Picked011
Done000
Total1778185

Merged error: 0.0b

Counts
185 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- -1 (/ u t1))
0.3b
(/ (/ v (- -1 (/ u t1))) (+ t1 u))
3.2b
(/ v (- -1 (/ u t1)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
189×add-sqr-sqrt
179×*-un-lft-identity
89×add-cube-cbrt
40×difference-of-squares
27×associate-/l*
25×distribute-lft-out
20×distribute-lft-out--
14×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
7×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg flip3-+ diff-log flip-+ associate-/l/
Counts
3 → 197
Calls
3 calls:
6.0ms
(- -1 (/ u t1))
14.0ms
(/ (/ v (- -1 (/ u t1))) (+ t1 u))
10.0ms
(/ v (- -1 (/ u t1)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- -1 (/ u t1))
15.0ms
(/ (/ v (- -1 (/ u t1))) (+ t1 u))
7.0ms
(/ v (- -1 (/ u t1)))

simplify61.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051943668

prune205.0ms

Filtered
140 candidates to 206 candidates (-47.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2060206
Fresh066
Picked011
Done011
Total2068214

Merged error: 0.0b

Counts
214 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- -1 (/ u t1))
0.0b
(/ v (+ u t1))
0.5b
(/ 1 (- -1 (/ u t1)))
1.7b
(* (/ v (+ u t1)) (/ 1 (- -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*
8×prod-exp associate-/r/ distribute-lft-out--
7×pow1 distribute-lft-out
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
4×cbrt-unprod div-inv
3×rec-exp flip3-- 1-exp flip--
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times sub-neg pow-flip diff-log associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 166
Calls
4 calls:
6.0ms
(- -1 (/ u t1))
5.0ms
(/ v (+ u t1))
8.0ms
(/ 1 (- -1 (/ u t1)))
23.0ms
(* (/ v (+ u t1)) (/ 1 (- -1 (/ u t1))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- -1 (/ u t1))
6.0ms
(/ v (+ u t1))
5.0ms
(/ 1 (- -1 (/ u t1)))
15.0ms
(* (/ v (+ u t1)) (/ 1 (- -1 (/ u t1))))

simplify51.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
057681924

prune153.0ms

Filtered
113 candidates to 178 candidates (-57.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1771178
Fresh145
Picked011
Done022
Total1788186

Merged error: 0.0b

Counts
186 → 8

regimes234.0ms

Accuracy

0% (1.3b remaining)

Error of 1.6b against oracle of 0.2b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02611
12611

end0.0ms

sample547.0ms

Algorithm
intervals
Results
272.0ms8235×body80valid

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