Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true
3.0ms272×pre80false

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1487
21107
32847
415807
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

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))))
14.6b
(/ (- (* a a) (* b b)) (* a a))

rewrite15.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 60
Calls
3 calls:
3.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
10.0ms
(/ (- (* a a) (* b b)) (* a a))

series99.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
52.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify33.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0241459
11037405
25001401

prune159.0ms

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

rewrite56.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 151
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
11.0ms
(/ (- a b) a)
8.0ms
(/ (+ a b) a)
30.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series131.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
30.0ms
(/ (- a b) a)
26.0ms
(/ (+ a b) a)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify67.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0505990
12546909
25002905

prune357.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
251×times-frac
194×*-un-lft-identity
173×add-sqr-sqrt
126×add-cube-cbrt
64×add-exp-log
59×associate-*l*
34×add-cbrt-cube
30×div-exp
25×associate-/r* distribute-lft-out
19×associate-*r*
18×associate-/r/
14×cbrt-undiv prod-exp
12×div-inv
11×associate-/l*
10×unswap-sqr
8×flip3-+ flip-+
7×pow1 distribute-lft-out-- difference-of-squares
6×rec-exp 1-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times flip3-- pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 295
Calls
4 calls:
10.0ms
(/ 1 (/ a (+ a b)))
9.0ms
(/ (- a b) a)
6.0ms
(/ a (+ a b))
57.0ms
(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

series151.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (/ a (+ a b)))
30.0ms
(/ (- a b) a)
39.0ms
(/ a (+ a b))
62.0ms
(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

simplify45.0ms

Algorithm
egg-herbie
Counts
307 → 307
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09712145
150021871

prune657.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (/ (/ (- a b) (/ a (+ a b))) a)))
0.0b
(/ a (+ a b))
0.0b
(/ (- a b) (/ a (+ a b)))
0.0b
(/ (/ (- a b) (/ a (+ a b))) a)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
1059×times-frac
759×*-un-lft-identity
596×add-sqr-sqrt
413×add-cube-cbrt
103×associate-/l*
91×distribute-lft-out-- difference-of-squares
82×distribute-lft-out
59×associate-/r/
33×div-inv
27×flip3-+ flip-+
25×associate-/r*
20×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg div-sub clear-num sqrt-prod associate-/l/
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 flip--
Counts
4 → 586
Calls
4 calls:
1.0ms
(sqrt (fabs (/ (/ (- a b) (/ a (+ a b))) a)))
6.0ms
(/ a (+ a b))
20.0ms
(/ (- a b) (/ a (+ a b)))
37.0ms
(/ (/ (- a b) (/ a (+ a b))) a)

series180.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (fabs (/ (/ (- a b) (/ a (+ a b))) a)))
39.0ms
(/ a (+ a b))
61.0ms
(/ (- a b) (/ a (+ a b)))
59.0ms
(/ (/ (- a b) (/ a (+ a b))) a)

simplify93.0ms

Algorithm
egg-herbie
Counts
598 → 598
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017816773
150016630

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes88.0ms

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
0107
1107

end0.0ms

sample595.0ms

Algorithm
intervals
Results
189.0ms8000×body80valid
92.0ms8000×pre80true
92.0ms8050×pre80false