Details

Time bar (total: 3.5s)

sample25.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
4.0ms310×pre80false
3.0ms256×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: 16.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
16.1b
(/ (- (* 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))))
8.0ms
(/ (- (* 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))))
54.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify163.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (153.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune137.0ms

Pruning

2 alts after pruning (2 fresh and 0 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)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite50.0ms

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))))
7.0ms
(/ (+ a b) a)
7.0ms
(/ (- a b) a)
31.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series137.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(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))

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0493951
12505870
25001867

prune340.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
272×times-frac
205×add-sqr-sqrt
189×*-un-lft-identity
129×add-cube-cbrt
68×associate-*r*
62×add-exp-log
32×add-cbrt-cube
29×div-exp
24×associate-/r*
21×distribute-lft-out-- difference-of-squares
16×associate-*l* associate-/r/
14×prod-exp
13×cbrt-undiv
11×div-inv
10×unswap-sqr
8×pow1
7×flip3-- flip-- distribute-lft-out associate-/l*
6×rec-exp 1-exp cbrt-unprod
4×add-log-exp
3×sqrt-prod
2×frac-2neg clear-num associate-/l/
1×frac-times rem-sqrt-square pow-flip sqrt-pow1 flip3-+ pow1/2 associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 281
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ 1 (/ a (- a b))))))
7.0ms
(/ (+ a b) a)
9.0ms
(/ 1 (/ a (- a b)))
55.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

series141.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ 1 (/ a (- a b))))))
22.0ms
(/ (+ a b) a)
31.0ms
(/ 1 (/ a (- a b)))
67.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

simplify46.0ms

Algorithm
egg-herbie
Counts
293 → 293
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010462313
150022035

prune633.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
0.0b
(/ (- a b) a)
0.0b
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
53×*-un-lft-identity
46×times-frac
33×add-cube-cbrt
31×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×pow1 cbrt-undiv div-exp
8×cbrt-prod prod-exp cbrt-unprod
7×distribute-lft-out-- difference-of-squares
6×cube-div
5×pow-exp associate-/l* rem-cube-cbrt
4×add-log-exp unswap-sqr
3×frac-times pow-unpow cbrt-div associate-*r/ associate-*l/ associate-/r* div-inv distribute-lft-out
2×cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down associate-/l/ sqr-pow
1×pow-to-exp flip3-- frac-2neg pow1/3 div-sub clear-num *-commutative flip-- rem-cbrt-cube
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
7.0ms
(/ (- a b) a)
9.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
27.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series297.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
35.0ms
(/ (- a b) a)
119.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
65.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify83.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05741002
13144956
25002953

prune396.0ms

Pruning

2 alts after pruning (1 fresh and 1 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
0149
1149

end0.0ms

sample591.0ms

Algorithm
intervals
Results
189.0ms8000×body80valid
91.0ms8186×pre80false
88.0ms8000×pre80true