Details

Time bar (total: 2.8s)

sample31.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms256×pre80true
4.0ms238×pre80false

simplify50.0ms

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: 14.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* a a) (* b b))
13.6b
(/ (- (* a a) (* b b)) (* a a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l* add-log-exp
3×difference-of-squares
2×pow1 cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
2 → 39
Calls
2 calls:
3.0ms
(- (* a a) (* b b))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series79.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (* a a) (* b b))
47.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify158.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (154.0ms)

IterNodesCost
0206285
1933242
24682242
35001241

prune81.0ms

Filtered
45 candidates to 33 candidates (73.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New44145
Fresh000
Picked011
Done000
Total44246

Merged error: 0.0b

Counts
46 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
65×add-sqr-sqrt
58×times-frac
39×add-cube-cbrt
19×add-exp-log associate-*r* add-cbrt-cube
16×associate-*l*
9×associate-/l*
7×distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×frac-2neg clear-num
1×frac-times flip3-- flip3-+ div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
3 → 130
Calls
3 calls:
5.0ms
(/ (+ a b) a)
6.0ms
(/ (- a b) a)
19.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series110.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (+ a b) a)
32.0ms
(/ (- a b) a)
57.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify62.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0467819
12446744
25001742

prune250.0ms

Filtered
139 candidates to 96 candidates (69.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1372139
Fresh000
Picked101
Done011
Total1383141

Merged error: 0b

Counts
141 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
19×add-exp-log associate-*r* add-cbrt-cube
7×associate-/l/ distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r* associate-/l*
5×pow1
4×frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+
3×div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×flip3-- div-sub pow-prod-down *-commutative flip-- distribute-lft-out
Counts
3 → 109
Calls
3 calls:
13.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
12.0ms
(* (+ a b) (/ (- a b) a))
6.0ms
(/ (- a b) a)

series143.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
58.0ms
(* (+ a b) (/ (- a b) a))
29.0ms
(/ (- a b) a)

simplify67.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0414683
12357605
25001604

prune199.0ms

Filtered
118 candidates to 84 candidates (71.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done011
Total1183121

Merged error: 0b

Counts
121 → 3

localize12.0ms

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

rewrite36.0ms

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))

series168.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
23.0ms
(/ (+ a b) a)
28.0ms
(/ (- a b) a)
60.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0485946
12467852
25002850

prune310.0ms

Filtered
156 candidates to 109 candidates (69.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh000
Picked011
Done022
Total1563159

Merged error: 0b

Counts
159 → 3

regimes105.0ms

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

sample782.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid
137.0ms8000×pre80true
135.0ms7929×pre80false

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