Details

Time bar (total: 3.0s)

sample25.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms249×pre80false
3.0ms256×pre80true

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: 15.1b

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))))
14.6b
(/ (- (* a a) (* b b)) (* a a))

rewrite18.0ms

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:
8.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

series103.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
49.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify31.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0241458
11037405
25001401

prune143.0ms

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

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

rewrite38.0ms

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))

series133.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
22.0ms
(/ (+ a b) a)
36.0ms
(/ (- a b) a)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0505990
12546909
25001905

prune288.0ms

Filtered
163 candidates to 114 candidates (69.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1621163
Fresh011
Picked011
Done000
Total1623165

Merged error: 0b

Counts
165 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
65×add-sqr-sqrt
57×times-frac
43×add-cube-cbrt
22×associate-*r*
19×add-exp-log sqrt-prod add-cbrt-cube
14×associate-/l*
11×distribute-lft-out-- difference-of-squares
9×pow1 associate-/r*
8×sqrt-div
6×associate-/l/
5×frac-times associate-*l/ prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv distribute-lft-out add-log-exp
3×frac-2neg associate-*r/ pow-prod-down clear-num
2×flip3-- div-sub flip--
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 163
Calls
4 calls:
6.0ms
(/ (+ a b) a)
7.0ms
(/ (- a b) a)
6.0ms
(/ (- a b) a)
20.0ms
(* (* (/ (+ a b) a) (sqrt (/ (- a b) a))) (sqrt (/ (- a b) a)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ a b) a)
30.0ms
(/ (- a b) a)
34.0ms
(/ (- a b) a)
76.0ms
(* (* (/ (+ a b) a) (sqrt (/ (- a b) a))) (sqrt (/ (- a b) a)))

simplify68.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04671117
12373989
25001981

prune397.0ms

Filtered
175 candidates to 121 candidates (69.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1750175
Fresh011
Picked011
Done011
Total1753178

Merged error: 0b

Counts
178 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (- (* a a) (* b b))) a)
0.0b
(* (/ (sqrt (- (* a a) (* b b))) a) (/ (sqrt (- (* a a) (* b b))) a))
14.6b
(sqrt (- (* a a) (* b b)))
14.6b
(sqrt (- (* a a) (* b b)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
129×times-frac
126×add-sqr-sqrt
84×sqrt-prod
82×add-cube-cbrt *-un-lft-identity
31×swap-sqr
25×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube difference-of-squares
13×pow1
9×unswap-sqr
7×associate-/l*
6×sqrt-div
5×cbrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×flip3-- associate-/r* flip--
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 199
Calls
4 calls:
7.0ms
(/ (sqrt (- (* a a) (* b b))) a)
26.0ms
(* (/ (sqrt (- (* a a) (* b b))) a) (/ (sqrt (- (* a a) (* b b))) a))
4.0ms
(sqrt (- (* a a) (* b b)))
4.0ms
(sqrt (- (* a a) (* b b)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (sqrt (- (* a a) (* b b))) a)
54.0ms
(* (/ (sqrt (- (* a a) (* b b))) a) (/ (sqrt (- (* a a) (* b b))) a))
50.0ms
(sqrt (- (* a a) (* b b)))
45.0ms
(sqrt (- (* a a) (* b b)))

simplify89.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06312528
130762208
250012020

prune409.0ms

Filtered
211 candidates to 141 candidates (66.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2110211
Fresh000
Picked011
Done022
Total2113214

Merged error: 0b

Counts
214 → 3

regimes46.0ms

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

sample608.0ms

Algorithm
intervals
Results
193.0ms8000×body80valid
99.0ms8000×pre80true
91.0ms7994×pre80false