Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms256×pre80true
3.0ms254×pre80false

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: 17.7b

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))))
17.2b
(/ (- (* a a) (* b b)) (* a a))

rewrite14.0ms

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:
4.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

series103.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
55.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify163.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (157.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune150.0ms

Pruning

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

rewrite34.0ms

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))))
5.0ms
(/ (+ a b) a)
6.0ms
(/ (- a b) a)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series135.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
22.0ms
(/ (+ a b) a)
35.0ms
(/ (- a b) a)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0493951
12505870
25001867

prune357.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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:
9.0ms
(/ (- a b) a)
2.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
12.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series290.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (- a b) a)
77.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
123.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify82.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0574998
13144954
25002951

prune429.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
81×add-sqr-sqrt
71×times-frac
50×add-cube-cbrt
38×associate-*l*
36×sqrt-prod
22×add-exp-log add-cbrt-cube
20×associate-*r*
11×pow1
10×sqrt-div distribute-lft-out
9×associate-/l*
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×frac-times associate-*r/ associate-/r* unswap-sqr
5×div-inv
4×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/l/ add-log-exp
2×frac-2neg clear-num *-commutative
1×flip3-- flip3-+ div-sub flip-- flip-+
Counts
4 → 174
Calls
4 calls:
6.0ms
(/ (+ a b) a)
6.0ms
(/ (- a b) a)
23.0ms
(* (sqrt (/ (+ a b) a)) (* (sqrt (/ (+ a b) a)) (/ (- a b) a)))
18.0ms
(* (sqrt (/ (+ a b) a)) (/ (- a b) a))

series181.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
35.0ms
(/ (- a b) a)
66.0ms
(* (sqrt (/ (+ a b) a)) (* (sqrt (/ (+ a b) a)) (/ (- a b) a)))
59.0ms
(* (sqrt (/ (+ a b) a)) (/ (- a b) a))

simplify83.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05871353
131731218
250011217

prune500.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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

sample662.0ms

Algorithm
intervals
Results
203.0ms8000×body80valid
109.0ms8147×pre80false
105.0ms8000×pre80true