Details

Time bar (total: 1.7s)

analyze36.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
1.6%3.1%95.3%3
1.6%3.1%95.3%4
2.3%1.6%96.1%5
2.3%1.6%96.1%6
2.7%0.8%96.5%7
2.7%0.8%96.5%8
2.9%0.4%96.7%9
2.9%0.4%96.7%10
3%0.2%96.8%11
3%0.2%96.8%12
3.1%0.1%96.8%13
3.1%0.1%96.8%14

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×pre80true
0.0ms4×pre80false

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0516211

prune10.0ms

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: 12.6b

Counts
2 → 2

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))))
12.7b
(/ (- (* a a) (* b b)) (* a a))

rewrite16.0ms

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 → 51
Calls
3 calls:
4.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
10.0ms
(/ (- (* a a) (* b b)) (* a a))

series25.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* a a) (* b b))
11.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify57.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04947663
14947663

prune91.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New58260
Fresh011
Picked101
Done000
Total59362

Merged error: 0b

Counts
62 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
6×pow1
3×associate-*l* associate-/r* sqrt-prod associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 75
Calls
3 calls:
1.0ms
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
5.0ms
(/ (- a (* b (/ b a))) a)
7.0ms
(* b (/ b a))

series20.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sqrt (fabs (/ (- a (* b (/ b a))) a)))
9.0ms
(/ (- a (* b (/ b a))) a)
3.0ms
(* b (/ b a))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05003848

prune109.0ms

Filtered
58 candidates to 84 candidates (-44.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done000
Total84387

Merged error: 0b

Counts
87 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (log (/ E (pow (exp b) (/ b (* a a)))))))
0.0b
(/ E (pow (exp b) (/ b (* a a))))
13.1b
(/ b (* a a))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
13×add-exp-log
12×unpow-prod-down
10×add-cbrt-cube
8×div-exp associate-/r*
6×associate-/l*
4×pow1 sqr-pow
3×cbrt-undiv e-exp-1 sqrt-prod add-log-exp
2×pow-to-exp frac-2neg pow-exp clear-num div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 prod-exp cbrt-unprod
Counts
3 → 82
Calls
3 calls:
1.0ms
(sqrt (fabs (log (/ E (pow (exp b) (/ b (* a a)))))))
5.0ms
(/ E (pow (exp b) (/ b (* a a))))
4.0ms
(/ b (* a a))

series47.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(sqrt (fabs (log (/ E (pow (exp b) (/ b (* a a)))))))
33.0ms
(/ E (pow (exp b) (/ b (* a a))))
5.0ms
(/ b (* a a))

simplify37.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052541149

prune127.0ms

Filtered
63 candidates to 91 candidates (-44.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done011
Total91394

Merged error: 0b

Counts
94 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
0.2b
(* b (/ b (* a a)))
13.1b
(/ b (* a a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
6×pow1
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×associate-*l* sqrt-prod associate-/l* add-log-exp
2×div-inv unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 62
Calls
3 calls:
1.0ms
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
7.0ms
(* b (/ b (* a a)))
4.0ms
(/ b (* a a))

series19.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sqrt (fabs (- 1 (* b (/ b (* a a))))))
5.0ms
(* b (/ b (* a a)))
5.0ms
(/ b (* a a))

simplify64.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04933495
14933495

prune93.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh000
Picked011
Done022
Total71374

Merged error: 0b

Counts
74 → 3

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06911
16911

end0.0ms

sample591.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
147.0ms8000×pre80true
2.0ms116×pre80false

Profiling

Loading profile data...