Details

Time bar (total: 9.2s)

sample23.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414827
550027

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

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
1109×add-sqr-sqrt
495×times-frac
425×difference-of-squares
394×*-un-lft-identity
306×swap-sqr
204×*-commutative unswap-sqr
190×add-cube-cbrt
170×associate-*l*
102×associate-*r*
85×distribute-lft-out--
33×associate-/l*
15×associate-/r*
8×add-exp-log add-cbrt-cube
5×add-log-exp
4×pow1
3×sqrt-prod
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 → 615
Calls
3 calls:
17.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
40.0ms
(/ (- (* a a) (* b b)) (* a a))

series108.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (* a a) (* b b))
22.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
53.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify158.0ms

Algorithm
egg-herbie
Counts
624 → 624
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
010124756
141024437
250014302

prune320.0ms

Filtered
624 candidates to 125 candidates (20.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6204624
Fresh000
Picked101
Done000
Total6214625

Merged error: 0b

Counts
625 → 4

localize11.0ms

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))

rewrite54.0ms

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×prod-exp cbrt-unprod 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 → 324
Calls
4 calls:
6.0ms
(/ (+ a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
6.0ms
(/ (- a b) a)
25.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series145.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (+ a b) a)
17.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
36.0ms
(/ (- a b) a)
68.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
012672574
150012485

prune523.0ms

Filtered
336 candidates to 203 candidates (60.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3351336
Fresh213
Picked101
Done000
Total3382340

Merged error: 0b

Counts
340 → 2

localize13.0ms

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))

rewrite76.0ms

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×prod-exp cbrt-unprod
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 → 349
Calls
4 calls:
20.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
1.0ms
(sqrt (fabs (log (exp (* (/ (+ a b) a) (/ (- a b) a))))))
6.0ms
(/ (- a b) a)
25.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series183.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
17.0ms
(sqrt (fabs (log (exp (* (/ (+ a b) a) (/ (- a b) a))))))
32.0ms
(/ (- a b) a)
68.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
361 → 361
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
013792796
150012708

prune685.0ms

Filtered
361 candidates to 224 candidates (62.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3610361
Fresh011
Picked011
Done000
Total3612363

Merged error: 0b

Counts
363 → 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))

rewrite396.0ms

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×prod-exp cbrt-unprod add-log-exp
3×un-div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative
Counts
4 → 2178
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))))
120.0ms
(* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))
29.0ms
(/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a))
7.0ms
(/ (+ (fabs b) (fabs a)) (sqrt a))

series243.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(sqrt (fabs (* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))))
90.0ms
(* (/ (+ (fabs b) (fabs a)) (sqrt a)) (/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a)))
69.0ms
(/ (- (/ (fabs a) a) (/ (fabs b) a)) (sqrt a))
57.0ms
(/ (+ (fabs b) (fabs a)) (sqrt a))

simplify431.0ms

Algorithm
egg-herbie
Counts
2190 → 2190
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0500146133

prune4.9s

Filtered
2190 candidates to 1139 candidates (52.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New219002190
Fresh000
Picked011
Done011
Total219022192

Merged error: 0b

Counts
2192 → 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
0139
1139

end0.0ms

sample606.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid
100.0ms8124×pre80false
95.0ms8000×pre80true