Details

Time bar (total: 4.1s)

sample36.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
7.0ms297×pre80false
6.0ms256×pre80true

simplify50.0ms

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: 17.8b

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))))
17.3b
(/ (- (* 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))

series108.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* a a) (* b b))
18.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
54.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify161.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
0228418
1970368
24781367
35001366

prune134.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(* (/ (+ a b) a) (/ (- a b) a))
0.1b
(/ (- 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:
8.0ms
(/ (+ a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
28.0ms
(* (/ (+ a b) a) (/ (- a b) a))
10.0ms
(/ (- a b) a)

series134.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (+ a b) a)
15.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
58.0ms
(* (/ (+ a b) a) (/ (- a b) a))
35.0ms
(/ (- a b) a)

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0493952
12505870
25001867

prune333.0ms

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
53×*-un-lft-identity
46×times-frac
33×add-cube-cbrt
19×associate-*r*
18×add-exp-log add-cbrt-cube
16×associate-*l*
8×pow1
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/l* add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
3×log-prod associate-/r* sqrt-prod log-pow div-inv distribute-lft-out
2×associate-/l/
1×frac-times rem-sqrt-square exp-prod flip3-- exp-to-pow frac-2neg sqrt-pow1 pow1/2 div-sub associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 124
Calls
4 calls:
1.0ms
(sqrt (fabs (log (exp (* (/ (+ a b) a) (/ (- a b) a))))))
2.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
28.0ms
(* (/ (+ a b) a) (/ (- a b) a))
8.0ms
(/ (- a b) a)

series172.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (log (exp (* (/ (+ a b) a) (/ (- a b) a))))))
63.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))
34.0ms
(/ (- a b) a)

simplify59.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0470944
12305850
25002847

prune357.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt (+ a b)) a) (/ (- a b) a))
0.1b
(/ (- a b) a)
0.2b
(/ (sqrt (+ a b)) a)
0.3b
(* (/ (sqrt (+ a b)) 1) (* (/ (sqrt (+ a b)) a) (/ (- a b) a)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
100×add-sqr-sqrt times-frac
79×add-exp-log
67×add-cube-cbrt
61×add-cbrt-cube
50×associate-*l*
42×sqrt-prod
31×prod-exp
28×div-exp
22×cbrt-unprod
20×associate-*r*
19×cbrt-undiv
12×associate-/l*
11×pow1
10×distribute-lft-out
7×distribute-lft-out-- difference-of-squares
6×frac-times associate-*r/ associate-/r* unswap-sqr
5×1-exp div-inv
4×pow-prod-down associate-*l/ associate-/l/ add-log-exp
2×frac-2neg sqrt-div clear-num *-commutative
1×flip3-- flip3-+ div-sub flip-- flip-+
Counts
4 → 221
Calls
4 calls:
36.0ms
(* (/ (sqrt (+ a b)) a) (/ (- a b) a))
7.0ms
(/ (- a b) a)
8.0ms
(/ (sqrt (+ a b)) a)
45.0ms
(* (/ (sqrt (+ a b)) 1) (* (/ (sqrt (+ a b)) a) (/ (- a b) a)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (/ (sqrt (+ a b)) a) (/ (- a b) a))
30.0ms
(/ (- a b) a)
63.0ms
(/ (sqrt (+ a b)) a)
68.0ms
(* (/ (sqrt (+ a b)) 1) (* (/ (sqrt (+ a b)) a) (/ (- a b) a)))

simplify114.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08642014
149451697
250021665

prune623.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes304.0ms

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
0139
1139

end0.0ms

sample951.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid
186.0ms7954×pre80false
182.0ms8000×pre80true