Details

Time bar (total: 1.9s)

sample28.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms256×pre80true
1.0ms36×pre80false

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
19.5b
(/ (- (* a a) (* b b)) (* a a))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 sqrt-prod
2×cbrt-undiv div-exp associate-/l/ add-log-exp difference-of-squares
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv
Counts
2 → 39
Calls
2 calls:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series18.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify146.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0197340
1816296
24110295
35001292

prune66.0ms

Filtered
45 candidates to 34 candidates (24.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New43245
Fresh000
Picked101
Done000
Total44246

Merged error: 0.0b

Counts
46 → 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)
0.1b
(* (/ (+ 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×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))))
5.0ms
(/ (+ a b) a)
6.0ms
(/ (- a b) a)
17.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series28.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
4.0ms
(/ (+ a b) a)
4.0ms
(/ (- a b) a)
9.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0493951
12505870
25002867

prune146.0ms

Filtered
155 candidates to 106 candidates (31.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1532155
Fresh101
Picked101
Done000
Total1552157

Merged error: 0b

Counts
157 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
67×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*
5×add-log-exp
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×log-prod log-pow
2×frac-2neg clear-num
1×frac-times exp-prod flip3-- exp-to-pow flip3-+ div-sub associate-*r/ rem-log-exp pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 144
Calls
4 calls:
2.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
6.0ms
(/ (+ a b) a)
6.0ms
(/ (- a b) a)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
4.0ms
(/ (+ a b) a)
4.0ms
(/ (- a b) a)
9.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify66.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0485946
12467852
25002850

prune186.0ms

Filtered
156 candidates to 109 candidates (30.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh011
Picked011
Done000
Total1562158

Merged error: 0b

Counts
158 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
34×times-frac
27×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
7×pow1 associate-/l/ distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r* associate-/l*
4×frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+ add-log-exp
3×sqrt-prod div-inv
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative flip-- distribute-lft-out
Counts
4 → 122
Calls
4 calls:
11.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
1.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
6.0ms
(/ (- a b) a)
11.0ms
(* (+ a b) (/ (- a b) a))

series33.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
11.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
4.0ms
(/ (- a b) a)
9.0ms
(* (+ a b) (/ (- a b) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0440815
12436731
25001729

prune125.0ms

Filtered
134 candidates to 94 candidates (29.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done011
Total1342136

Merged error: 0b

Counts
136 → 2

regimes65.0ms

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

sample683.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid
153.0ms8000×pre80true
18.0ms994×pre80false

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