Details

Time bar (total: 3.1s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true
4.0ms231×pre80false

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
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

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))))
10.9b
(/ (- (* a a) (* b b)) (* a a))

rewrite14.0ms

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:
4.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series102.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
54.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify167.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune122.0ms

Filtered
61 candidates to 45 candidates (73.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh000
Picked101
Done000
Total60262

Merged error: 0.0b

Counts
62 → 2

localize13.0ms

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))

rewrite36.0ms

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)
18.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series136.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
22.0ms
(/ (+ a b) a)
30.0ms
(/ (- a b) a)
64.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify66.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0493951
12505870
25001867

prune275.0ms

Filtered
155 candidates to 106 candidates (68.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1532155
Fresh101
Picked101
Done000
Total1552157

Merged error: 0b

Counts
157 → 2

localize12.0ms

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))

rewrite46.0ms

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:
2.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
6.0ms
(/ (- a b) a)
13.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
18.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series294.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
30.0ms
(/ (- a b) a)
123.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
65.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify84.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0574998
13144954
25002951

prune346.0ms

Filtered
160 candidates to 108 candidates (67.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1600160
Fresh011
Picked011
Done000
Total1602162

Merged error: 0b

Counts
162 → 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))

rewrite35.0ms

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×associate-/r* sqrt-prod 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 → 115
Calls
3 calls:
10.0ms
(/ (- 1 (/ b a)) a)
1.0ms
(sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))
18.0ms
(* (+ a b) (/ (- 1 (/ b a)) a))

series107.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 1 (/ b a)) a)
12.0ms
(sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))
58.0ms
(* (+ a b) (/ (- 1 (/ b a)) a))

simplify58.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0442906
12273834
25003834

prune231.0ms

Filtered
124 candidates to 87 candidates (70.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done011
Total1242126

Merged error: 0b

Counts
126 → 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

sample788.0ms

Algorithm
intervals
Results
263.0ms8000×body80valid
145.0ms8109×pre80false
143.0ms8000×pre80true