Details

Time bar (total: 5.1s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms244×pre80false
2.0ms256×pre80true

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
12.0b
(/ (- (* a a) (* b b)) (* a a))

rewrite31.0ms

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×sqrt-prod difference-of-squares
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 associate-/r* cbrt-unprod div-inv
Counts
3 → 52
Calls
3 calls:
8.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
21.0ms
(/ (- (* a a) (* b b)) (* a a))

series93.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
48.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify166.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (160.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune140.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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)
0.1b
(/ (- a b) a)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite93.0ms

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))))
17.0ms
(/ (+ a b) a)
15.0ms
(/ (- a b) a)
52.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series122.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
24.0ms
(/ (+ a b) a)
27.0ms
(/ (- a b) a)
55.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0493951
12505870
25001867

prune338.0ms

Pruning

4 alts after pruning (4 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)
0.1b
(/ 1 (/ a (- a b)))
0.1b
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

rewrite145.0ms

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))
17.0ms
(/ (+ a b) a)
19.0ms
(/ 1 (/ a (- a b)))
82.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ a (- a b))
25.0ms
(/ (+ a b) a)
27.0ms
(/ 1 (/ a (- a b)))
60.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

simplify47.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010362354
150012076

prune680.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(/ 1 (- a b))
0.1b
(/ (/ 1 a) (/ 1 (- a b)))
0.1b
(* (/ (+ a b) a) (/ (/ 1 a) (/ 1 (- a b))))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
1429×times-frac
826×add-sqr-sqrt
772×*-un-lft-identity
576×add-cube-cbrt
278×associate-*r*
183×add-exp-log
116×div-exp
85×distribute-lft-out-- difference-of-squares
75×div-inv
61×add-cbrt-cube
58×associate-/r/
34×prod-exp
31×cbrt-undiv
29×associate-/r*
28×flip3-- flip--
25×rec-exp 1-exp
20×associate-/l* unswap-sqr
16×associate-*l*
10×cbrt-unprod
7×pow1 distribute-lft-out
4×add-log-exp
3×frac-2neg clear-num associate-/l/
1×frac-times pow-flip flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
4 → 783
Calls
4 calls:
17.0ms
(/ (+ a b) a)
13.0ms
(/ 1 (- a b))
27.0ms
(/ (/ 1 a) (/ 1 (- a b)))
175.0ms
(* (/ (+ a b) a) (/ (/ 1 a) (/ 1 (- a b))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (+ a b) a)
31.0ms
(/ 1 (- a b))
26.0ms
(/ (/ 1 a) (/ 1 (- a b)))
61.0ms
(* (/ (+ a b) a) (/ (/ 1 a) (/ 1 (- a b))))

simplify133.0ms

Algorithm
egg-herbie
Counts
795 → 795
Iterations

Useful iterations: 1 (55.0ms)

IterNodesCost
030468059
150017060

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes35.0ms

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
01710
11710

end0.0ms

sample641.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid
85.0ms8000×pre80true
79.0ms7991×pre80false