Details

Time bar (total: 8.2s)

sample33.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms256×pre80true
3.0ms210×pre80false

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
15.6b
(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×pow1 times-frac associate-/l*
3×sqrt-prod difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 52
Calls
3 calls:
3.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series130.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (* a a) (* b b))
18.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
69.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify167.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (162.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune220.0ms

Filtered
61 candidates to 45 candidates (26.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh000
Picked101
Done000
Total60262

Merged error: 0.0b

Counts
62 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
68×add-sqr-sqrt
58×times-frac
41×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×associate-/l*
7×pow1 distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
4×prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
3×sqrt-prod
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 143
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
5.0ms
(/ (+ a b) a)
6.0ms
(/ (- a b) a)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series172.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
31.0ms
(/ (+ a b) a)
41.0ms
(/ (- a b) a)
82.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify66.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0493951
12505870
25002867

prune1.1s

Filtered
155 candidates to 106 candidates (31.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1523155
Fresh011
Picked101
Done000
Total1534157

Merged error: 0b

Counts
157 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ 1 (/ a (- a b))))))
0.0b
(/ (+ a b) a)
0.1b
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
0.1b
(/ 1 (/ a (- a b)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
272×times-frac
205×add-sqr-sqrt
189×*-un-lft-identity
129×add-cube-cbrt
68×associate-*r*
62×add-exp-log
32×add-cbrt-cube
29×div-exp
24×associate-/r*
21×distribute-lft-out-- difference-of-squares
16×associate-*l* associate-/r/
14×prod-exp
13×cbrt-undiv
11×div-inv
10×unswap-sqr
8×pow1
7×flip3-- flip-- distribute-lft-out associate-/l*
6×rec-exp 1-exp cbrt-unprod
4×add-log-exp
3×sqrt-prod
2×frac-2neg clear-num associate-/l/
1×frac-times rem-sqrt-square pow-flip sqrt-pow1 flip3-+ pow1/2 associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 281
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ 1 (/ a (- a b))))))
6.0ms
(/ (+ a b) a)
34.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
9.0ms
(/ 1 (/ a (- a b)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ 1 (/ a (- a b))))))
29.0ms
(/ (+ a b) a)
83.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
42.0ms
(/ 1 (/ a (- a b)))

simplify51.0ms

Algorithm
egg-herbie
Counts
293 → 293
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010462311
150022033

prune3.5s

Filtered
293 candidates to 183 candidates (37.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2930293
Fresh033
Picked011
Done000
Total2934297

Merged error: 0b

Counts
297 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
0.0b
(/ (* (+ a b) (/ (- a b) a)) a)
0.0b
(* (+ a b) (/ (- a b) a))
0.0b
(/ (- a b) a)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
34×times-frac
27×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
7×pow1 associate-/l/ distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r* associate-/l*
4×frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+ add-log-exp
3×sqrt-prod div-inv
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative flip-- distribute-lft-out
Counts
4 → 122
Calls
4 calls:
1.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
11.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
11.0ms
(* (+ a b) (/ (- a b) a))
6.0ms
(/ (- a b) a)

series223.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
81.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
78.0ms
(* (+ a b) (/ (- a b) a))
46.0ms
(/ (- a b) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0440815
12436731
25002729

prune994.0ms

Filtered
134 candidates to 94 candidates (29.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh022
Picked011
Done011
Total1344138

Merged error: 0b

Counts
138 → 4

regimes171.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample917.0ms

Algorithm
intervals
Results
263.0ms8000×body80valid
132.0ms8241×pre80false
129.0ms8000×pre80true

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