Details

Time bar (total: 2.1s)

analyze34.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms256×pre80true
0.0ms4×pre80false

simplify49.0ms

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: 11.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
11.2b
(/ (- (* 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))

series26.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* a a) (* b b))
11.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
9.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify162.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (157.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune87.0ms

Filtered
45 candidates to 61 candidates (-35.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New58361
Fresh000
Picked101
Done000
Total59362

Merged error: 0.0b

Counts
62 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- 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:
5.0ms
(/ (+ a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
5.0ms
(/ (- a b) a)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series26.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0493951
12505870
25002867

prune159.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1523155
Fresh202
Picked101
Done000
Total1553158

Merged error: 0b

Counts
158 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a b) a)
0.0b
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
0.0b
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
53×*-un-lft-identity
46×times-frac
33×add-cube-cbrt
31×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×pow1 cbrt-undiv div-exp
8×cbrt-prod prod-exp cbrt-unprod
7×distribute-lft-out-- difference-of-squares
6×cube-div
5×pow-exp associate-/l* rem-cube-cbrt
4×add-log-exp unswap-sqr
3×frac-times pow-unpow cbrt-div associate-*r/ associate-*l/ associate-/r* div-inv distribute-lft-out
2×cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down associate-/l/ sqr-pow
1×pow-to-exp flip3-- frac-2neg pow1/3 div-sub clear-num *-commutative flip-- rem-cbrt-cube
Counts
4 → 148
Calls
4 calls:
6.0ms
(/ (- a b) a)
2.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
12.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series47.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (- a b) a)
12.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
22.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
9.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify82.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0574998
13144954
25001951

prune211.0ms

Filtered
107 candidates to 160 candidates (-49.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1600160
Fresh022
Picked011
Done000
Total1603163

Merged error: 0b

Counts
163 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
53×*-un-lft-identity
46×times-frac
33×add-cube-cbrt
19×associate-*r*
18×add-exp-log add-cbrt-cube
16×associate-*l*
8×pow1
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/l* add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
3×log-prod associate-/r* sqrt-prod log-pow div-inv distribute-lft-out
2×associate-/l/
1×frac-times rem-sqrt-square exp-prod flip3-- exp-to-pow frac-2neg sqrt-pow1 pow1/2 div-sub associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 124
Calls
4 calls:
1.0ms
(sqrt (fabs (log (exp (* (/ (+ a b) a) (/ (- a b) a))))))
6.0ms
(/ (- a b) a)
2.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
18.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series32.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0470944
12305850
25002847

prune159.0ms

Filtered
95 candidates to 136 candidates (-43.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh011
Picked011
Done011
Total1363139

Merged error: 0b

Counts
139 → 3

regimes74.0ms

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
0149
1149

end0.0ms

analyze37.0ms

Algorithm
search

sample574.0ms

Algorithm
intervals
Results
276.0ms8000×body80valid
153.0ms8000×pre80true
2.0ms114×pre80false

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