Details

Time bar (total: 9.6s)

sample28.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms256×pre80false
3.0ms256×pre80true

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1487
21107
32847
415677
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: 14.7b

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))))
14.3b
(/ (- (* a a) (* b b)) (* a a))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
1326×add-sqr-sqrt
549×*-un-lft-identity
495×times-frac
425×difference-of-squares
399×swap-sqr
345×add-cube-cbrt
263×associate-*l*
235×*-commutative unswap-sqr
225×prod-diff
195×associate-*r*
85×distribute-lft-out--
33×associate-/l*
15×fma-neg associate-/r*
8×add-exp-log add-cbrt-cube
5×add-log-exp
4×pow1
3×expm1-log1p-u sqrt-prod log1p-expm1-u
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 cbrt-unprod div-inv
Counts
3 → 861
Calls
3 calls:
22.0ms
(- (* a a) (* b b))
5.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
48.0ms
(/ (- (* a a) (* b b)) (* a a))

series108.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
59.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify131.0ms

Algorithm
egg-herbie
Counts
870 → 870
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014537985
150016951

prune408.0ms

Filtered
870 candidates to 155 candidates (17.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New8664870
Fresh000
Picked101
Done000
Total8674871

Merged error: 0b

Counts
871 → 4

localize9.0ms

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
156×frac-times
148×add-sqr-sqrt
132×associate-/l*
95×add-cube-cbrt
87×associate-/r*
58×times-frac associate-/l/
30×clear-num
29×frac-2neg
21×distribute-lft-out distribute-lft-out--
20×add-exp-log add-cbrt-cube difference-of-squares
19×associate-*r*
16×associate-*l*
15×flip3-+ flip-+
14×flip3-- flip--
13×associate-*r/
12×associate-*l/
7×pow1
6×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
3×sqrt-prod un-div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative
Counts
4 → 332
Calls
4 calls:
8.0ms
(/ (+ a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
6.0ms
(/ (- a b) a)
23.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series136.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
15.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
32.0ms
(/ (- a b) a)
67.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify67.0ms

Algorithm
egg-herbie
Counts
344 → 344
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
012802587
150012498

prune743.0ms

Filtered
344 candidates to 211 candidates (61.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3431344
Fresh213
Picked101
Done000
Total3462348

Merged error: 0b

Counts
348 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
176×add-sqr-sqrt
156×frac-times
128×associate-/l*
105×add-cube-cbrt
84×associate-/r*
77×times-frac
56×associate-/l/
46×log-pow
44×exp-prod
38×associate-*r*
32×associate-*l*
29×clear-num
28×frac-2neg
24×distribute-lft-out--
23×difference-of-squares
20×distribute-lft-out
19×add-exp-log
18×add-cbrt-cube
14×flip3-- flip3-+ flip-- flip-+
13×associate-*r/
12×associate-*l/
8×pow1 unswap-sqr
5×cbrt-undiv div-exp div-inv add-log-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×log-prod sqrt-prod un-div-inv
2×rem-log-exp *-commutative
1×rem-sqrt-square exp-to-pow sqrt-pow1 pow1/2 div-sub pow-prod-down
Counts
4 → 357
Calls
4 calls:
19.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
1.0ms
(sqrt (fabs (log (exp (* (/ (+ a b) a) (/ (- a b) a))))))
7.0ms
(/ (- a b) a)
23.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series176.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
16.0ms
(sqrt (fabs (log (exp (* (/ (+ a b) a) (/ (- a b) a))))))
31.0ms
(/ (- a b) a)
66.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify66.0ms

Algorithm
egg-herbie
Counts
369 → 369
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
013922820
150012732

prune697.0ms

Filtered
369 candidates to 232 candidates (62.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3690369
Fresh011
Picked011
Done000
Total3692371

Merged error: 0b

Counts
371 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))))
0.3b
(* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))
0.3b
(/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a))
0.5b
(/ (+ (fabs b) (fabs a)) (sqrt a))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
1834×associate-/r*
1756×associate-/l/
1708×*-un-lft-identity
1665×frac-times
1576×associate-/l*
1568×add-sqr-sqrt
1377×frac-sub
1189×add-cube-cbrt
495×sqrt-prod
494×times-frac
470×frac-2neg
437×clear-num
125×distribute-lft-out
119×sub-div
117×distribute-lft-out--
116×difference-of-squares
113×flip3-+ flip-+
111×associate-*r/
76×associate-*r*
62×div-inv
29×distribute-rgt-out--
28×associate-*l*
20×add-exp-log add-cbrt-cube
17×flip3-- flip--
15×associate-*l/
9×unswap-sqr
7×pow1
6×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×un-div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative
Counts
4 → 2186
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))))
115.0ms
(* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))
40.0ms
(/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a))
7.0ms
(/ (+ (fabs b) (fabs a)) (sqrt a))

series220.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (fabs (* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))))
83.0ms
(* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))
72.0ms
(/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a))
45.0ms
(/ (+ (fabs b) (fabs a)) (sqrt a))

simplify420.0ms

Algorithm
egg-herbie
Counts
2198 → 2198
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0500246633

prune5.0s

Filtered
2198 candidates to 1147 candidates (52.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New219802198
Fresh000
Picked011
Done011
Total219822200

Merged error: 0b

Counts
2200 → 2

regimes30.0ms

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
0139
1139

end0.0ms

sample643.0ms

Algorithm
intervals
Results
205.0ms8000×body80valid
103.0ms8000×pre80true
100.0ms8124×pre80false