Details

Time bar (total: 4.9s)

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true
3.0ms236×pre80false

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1487
21107
32847
415807
550017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
13.1b
(/ (- (* a a) (* b b)) (* a a))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 sqrt-prod
2×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/ add-log-exp difference-of-squares
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv
Counts
2 → 43
Calls
2 calls:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
24.0ms
(/ (- (* a a) (* b b)) (* a a))

series69.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
51.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify151.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0205367
1860319
24279318
35001316

prune185.0ms

Pruning

2 alts after pruning (1 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)
0.0b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite101.0ms

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))))
19.0ms
(/ (+ a b) a)
20.0ms
(/ (- a b) a)
54.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series122.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
20.0ms
(/ (+ a b) a)
27.0ms
(/ (- a b) a)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify68.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0505990
12546909
25001905

prune574.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 313
Calls
4 calls:
11.0ms
(/ a (- a b))
19.0ms
(/ (+ a b) a)
20.0ms
(/ 1 (/ a (- a b)))
84.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ a (- a b))
25.0ms
(/ (+ a b) a)
28.0ms
(/ 1 (/ a (- a b)))
58.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))

simplify48.0ms

Algorithm
egg-herbie
Counts
325 → 325
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010492388
150012107

prune1.2s

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
188×add-sqr-sqrt
177×*-un-lft-identity
123×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×pow1 flip3-- flip--
7×cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u add-log-exp
3×sqrt-prod cbrt-unprod
2×frac-times frac-2neg flip3-+ associate-*l/ clear-num flip-+
1×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 associate-*r/ pow-prod-down un-div-inv *-commutative distribute-lft-out inv-pow
Counts
4 → 268
Calls
4 calls:
1.0ms
(sqrt (fabs (* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))))
13.0ms
(/ a (- a b))
18.0ms
(/ 1 (/ a (- a b)))
86.0ms
(* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (fabs (* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))))
39.0ms
(/ a (- a b))
33.0ms
(/ 1 (/ a (- a b)))
53.0ms
(* (+ 1 (/ b a)) (/ 1 (/ a (- a b))))

simplify50.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08222123
150011701

prune886.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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

sample687.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid
93.0ms8000×pre80true
93.0ms7863×pre80false