Details

Time bar (total: 3.5s)

sample31.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms256×pre80true
4.0ms238×pre80false

simplify50.0ms

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: 15.3b

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))))
14.8b
(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

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:
4.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series98.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
51.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0241458
11037405
25001401

prune140.0ms

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

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)
0.0b
(* (/ (+ 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)
19.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series133.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
21.0ms
(/ (+ a b) a)
30.0ms
(/ (- a b) a)
65.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify73.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0505990
12546909
25001905

prune290.0ms

Filtered
163 candidates to 114 candidates (69.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1612163
Fresh101
Picked101
Done000
Total1632165

Merged error: 0b

Counts
165 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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×expm1-log1p-u frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+ log1p-expm1-u 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 → 130
Calls
4 calls:
1.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
15.0ms
(* (+ a b) (/ (- a b) a))
11.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
6.0ms
(/ (- a b) a)

series172.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
56.0ms
(* (+ a b) (/ (- a b) a))
64.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
31.0ms
(/ (- a b) a)

simplify68.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0453858
12492775
25001769

prune249.0ms

Filtered
142 candidates to 102 candidates (71.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh011
Picked011
Done000
Total1422144

Merged error: 0b

Counts
144 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
448×times-frac
332×*-un-lft-identity
304×add-sqr-sqrt
220×add-cube-cbrt
143×sqrt-prod
100×associate-*l*
43×distribute-lft-out
34×add-exp-log associate-*r* add-cbrt-cube
25×associate-/l*
18×div-inv
15×associate-/r* unswap-sqr
14×cbrt-undiv div-exp
13×distribute-lft-out-- difference-of-squares
6×pow1 prod-exp cbrt-unprod
5×associate-/l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×frac-times flip3-- flip3-+ div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 403
Calls
4 calls:
6.0ms
(/ (+ a b) a)
10.0ms
(/ (/ (+ a b) a) (sqrt a))
64.0ms
(* (/ (/ (+ a b) a) (sqrt a)) (/ (- a b) (sqrt a)))
7.0ms
(/ (- a b) (sqrt a))

series253.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
76.0ms
(/ (/ (+ a b) a) (sqrt a))
91.0ms
(* (/ (/ (+ a b) a) (sqrt a)) (/ (- a b) (sqrt a)))
64.0ms
(/ (- a b) (sqrt a))

simplify84.0ms

Algorithm
egg-herbie
Counts
415 → 415
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
012663927
150023648

prune740.0ms

Filtered
415 candidates to 249 candidates (60.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New4150415
Fresh000
Picked011
Done011
Total4152417

Merged error: 0b

Counts
417 → 2

regimes27.0ms

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

sample778.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid
143.0ms8000×pre80true
142.0ms7873×pre80false