Details

Time bar (total: 3.7s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true
3.0ms234×pre80false

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

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))))
14.9b
(/ (- (* 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×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:
3.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
9.0ms
(/ (- (* a a) (* b b)) (* a a))

series101.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
53.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify165.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (158.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune136.0ms

Pruning

2 alts after pruning (2 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)
0.0b
(/ (+ a b) a)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite52.0ms

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))))
8.0ms
(/ (- a b) a)
8.0ms
(/ (+ a b) a)
31.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series132.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
30.0ms
(/ (- a b) a)
22.0ms
(/ (+ a b) a)
62.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify66.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0493951
12505870
25001867

prune335.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

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:
5.0ms
(/ a (- a b))
8.0ms
(/ (+ a b) a)
58.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
10.0ms
(/ 1 (/ a (- a b)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ a (- a b))
24.0ms
(/ (+ a b) a)
59.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
35.0ms
(/ 1 (/ a (- a b)))

simplify48.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010362354
150022076

prune673.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ a b) (sqrt a)) (/ (- a b) a))
0.3b
(/ 1 (sqrt a))
0.3b
(* (/ 1 (sqrt a)) (* (/ (+ a b) (sqrt a)) (/ (- a b) a)))
0.5b
(/ (+ a b) (sqrt a))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
105×*-un-lft-identity
99×add-exp-log
98×add-sqr-sqrt
73×add-cube-cbrt
61×add-cbrt-cube
50×associate-*l* sqrt-prod
40×prod-exp
33×div-exp
22×cbrt-unprod
20×associate-*r*
19×cbrt-undiv
13×pow1 distribute-lft-out
12×associate-/r*
7×associate-/l*
6×frac-times rec-exp 1-exp associate-*r/ unswap-sqr
5×div-inv
4×pow-prod-down associate-*l/ add-log-exp
3×pow-flip distribute-lft-out-- difference-of-squares
2×frac-2neg clear-num *-commutative associate-/l/
1×sqrt-pow1 flip3-+ pow1/2 flip-+ inv-pow
Counts
4 → 236
Calls
4 calls:
35.0ms
(* (/ (+ a b) (sqrt a)) (/ (- a b) a))
3.0ms
(/ 1 (sqrt a))
44.0ms
(* (/ 1 (sqrt a)) (* (/ (+ a b) (sqrt a)) (/ (- a b) a)))
9.0ms
(/ (+ a b) (sqrt a))

series285.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (/ (+ a b) (sqrt a)) (/ (- a b) a))
27.0ms
(/ 1 (sqrt a))
85.0ms
(* (/ 1 (sqrt a)) (* (/ (+ a b) (sqrt a)) (/ (- a b) a)))
59.0ms
(/ (+ a b) (sqrt a))

simplify43.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09582117
150021794

prune502.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

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
0158
1158

end0.0ms

sample600.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid
98.0ms7907×pre80false
89.0ms8000×pre80true