Details

Time bar (total: 2.9s)

sample28.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms256×pre80true
4.0ms231×pre80false

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1487
21107
32847
415807
550017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.3b

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))))
10.9b
(/ (- (* 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×expm1-log1p-u sqrt-prod log1p-expm1-u difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 60
Calls
3 calls:
4.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series99.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (* a a) (* b b))
16.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
52.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify31.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0241458
11037405
25001401

prune139.0ms

Filtered
69 candidates to 53 candidates (76.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270

Merged error: 0.0b

Counts
70 → 2

localize8.0ms

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

rewrite34.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 151
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))

series134.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
26.0ms
(/ (+ a b) a)
30.0ms
(/ (- a b) a)
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify67.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0505990
12546909
25001905

prune279.0ms

Filtered
163 candidates to 114 candidates (69.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1612163
Fresh101
Picked101
Done000
Total1632165

Merged error: 0b

Counts
165 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 156
Calls
4 calls:
2.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
6.0ms
(/ (- a b) a)
12.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
17.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series287.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
35.0ms
(/ (- a b) a)
118.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify88.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
05851045
13185999
25002996

prune334.0ms

Filtered
168 candidates to 116 candidates (69.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1680168
Fresh011
Picked011
Done000
Total1682170

Merged error: 0b

Counts
170 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
63×times-frac
60×*-un-lft-identity
30×add-cube-cbrt
28×associate-*r* difference-of-squares
10×add-exp-log add-cbrt-cube
8×associate-/l*
7×distribute-lft-out--
6×pow1
4×associate-*l*
3×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u add-log-exp
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ 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-- distribute-lft-out
Counts
3 → 121
Calls
3 calls:
12.0ms
(/ (- 1 (/ b a)) a)
1.0ms
(sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))
16.0ms
(* (+ a b) (/ (- 1 (/ b a)) a))

series113.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (- 1 (/ b a)) a)
13.0ms
(sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))
57.0ms
(* (+ a b) (/ (- 1 (/ b a)) a))

simplify59.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0453942
12324870
25002867

prune232.0ms

Filtered
130 candidates to 93 candidates (71.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done011
Total1302132

Merged error: 0b

Counts
132 → 2

regimes28.0ms

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

sample780.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid
140.0ms8000×pre80true
137.0ms8109×pre80false