Details

Time bar (total: 4.9s)

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms256×pre80true
3.0ms236×pre80false

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
13.1b
(/ (- (* a a) (* b b)) (* a a))

rewrite25.0ms

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))))
23.0ms
(/ (- (* a a) (* b b)) (* a a))

series66.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
44.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify141.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (137.0ms)

IterNodesCost
0197340
1816296
24110295
35001292

prune171.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite94.0ms

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:
2.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
19.0ms
(/ (+ a b) a)
15.0ms
(/ (- a b) a)
53.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series119.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
19.0ms
(/ (+ a b) a)
32.0ms
(/ (- a b) a)
52.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0493951
12505870
25001867

prune566.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (- a b))
0.0b
(/ (+ a b) a)
0.0b
(/ 1 (/ a (- a b)))
0.0b
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
287×times-frac
221×add-sqr-sqrt
206×*-un-lft-identity
138×add-cube-cbrt
68×associate-*r*
64×add-exp-log
34×add-cbrt-cube
30×div-exp
29×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
16×associate-*l*
14×cbrt-undiv prod-exp
12×div-inv
10×associate-/l* unswap-sqr
8×flip3-- flip--
7×pow1 distribute-lft-out
6×rec-exp 1-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times pow-flip flip3-+ associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 305
Calls
4 calls:
11.0ms
(/ a (- a b))
18.0ms
(/ (+ a b) a)
19.0ms
(/ 1 (/ a (- a b)))
83.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ a (- a b))
24.0ms
(/ (+ a b) a)
27.0ms
(/ 1 (/ a (- a b)))
57.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

simplify48.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010362354
150012076

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))))
0.0b
(/ a (- a b))
0.0b
(/ 1 (/ a (- a b)))
0.0b
(* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
188×add-sqr-sqrt
177×*-un-lft-identity
123×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×pow1 flip3-- flip--
7×cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp associate-*l* add-log-exp
3×sqrt-prod cbrt-unprod
2×frac-times frac-2neg flip3-+ associate-*l/ clear-num flip-+
1×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 associate-*r/ pow-prod-down un-div-inv *-commutative distribute-lft-out inv-pow
Counts
4 → 260
Calls
4 calls:
1.0ms
(sqrt (fabs (* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))))
11.0ms
(/ a (- a b))
19.0ms
(/ 1 (/ a (- a b)))
87.0ms
(* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))))
37.0ms
(/ a (- a b))
26.0ms
(/ 1 (/ a (- a b)))
57.0ms
(* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))

simplify43.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08072085
150011667

prune998.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

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
0158
1158

end0.0ms

sample688.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid
96.0ms7863×pre80false
94.0ms8000×pre80true