Details

Time bar (total: 2.0s)

analyze40.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms256×pre80true
0.0ms7×pre80false

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.8b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
13.4b
(/ (- (* a a) (* b b)) (* a a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 sqrt-prod
2×cbrt-undiv div-exp associate-/l/ add-log-exp difference-of-squares
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv
Counts
2 → 39
Calls
2 calls:
2.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
12.0ms
(/ (- (* a a) (* b b)) (* a a))

series35.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
14.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify156.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
0197340
1816296
24110295
35001292

prune67.0ms

Filtered
34 candidates to 45 candidates (-32.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New43245
Fresh000
Picked101
Done000
Total44246

Merged error: 0.0b

Counts
46 → 2

localize9.0ms

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))))
6.0ms
(/ (+ a b) a)
6.0ms
(/ (- a b) a)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series29.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
7.0ms
(/ (+ a b) a)
4.0ms
(/ (- a b) a)
9.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0493951
12505870
25002867

prune154.0ms

Filtered
106 candidates to 155 candidates (-46.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1541155
Fresh011
Picked011
Done000
Total1543157

Merged error: 0b

Counts
157 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
82×*-un-lft-identity
79×times-frac
61×sqrt-prod
50×add-cube-cbrt
22×associate-*r*
16×associate-*l*
13×distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube
8×pow1
6×unswap-sqr
5×div-inv associate-/l*
4×rem-sqrt-square sqrt-div add-log-exp
3×associate-/r* distribute-lft-out
2×cbrt-undiv sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 160
Calls
4 calls:
5.0ms
(/ (- a b) a)
5.0ms
(sqrt (/ (- a b) a))
5.0ms
(sqrt (/ (- a b) a))
17.0ms
(* (/ (+ a b) a) (sqrt (/ (- a b) a)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (- a b) a)
13.0ms
(sqrt (/ (- a b) a))
9.0ms
(sqrt (/ (- a b) a))
12.0ms
(* (/ (+ a b) a) (sqrt (/ (- a b) a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04641173
117491109
250011094

prune193.0ms

Filtered
125 candidates to 172 candidates (-37.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh011
Picked011
Done011
Total1723175

Merged error: 0b

Counts
175 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (/ (- a (/ (pow b 2) a)) a)))
0.0b
(/ (- a (/ (pow b 2) a)) a)
13.5b
(/ (pow b 2) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
67×times-frac
43×*-un-lft-identity
35×add-cube-cbrt
20×difference-of-squares
17×associate-/l*
16×unpow-prod-down
10×add-exp-log
8×unpow2 sqr-pow
7×add-cbrt-cube
6×associate-/r*
4×pow1 div-exp distribute-lft-out--
3×sqrt-prod add-log-exp
2×cbrt-undiv frac-2neg clear-num div-inv associate-/l/
1×pow-to-exp rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub pow-exp flip--
Counts
3 → 116
Calls
3 calls:
1.0ms
(sqrt (fabs (/ (- a (/ (pow b 2) a)) a)))
13.0ms
(/ (- a (/ (pow b 2) a)) a)
5.0ms
(/ (pow b 2) a)

series23.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sqrt (fabs (/ (- a (/ (pow b 2) a)) a)))
9.0ms
(/ (- a (/ (pow b 2) a)) a)
6.0ms
(/ (pow b 2) a)

simplify43.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0381856
11225786
25001768

prune171.0ms

Filtered
84 candidates to 125 candidates (-48.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done022
Total1253128

Merged error: 0b

Counts
128 → 3

regimes89.0ms

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
0117
1117

end0.0ms

analyze39.0ms

Algorithm
search

sample553.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid
143.0ms8000×pre80true
2.0ms116×pre80false

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