Details

Time bar (total: 3.3s)

sample28.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms249×pre80false
4.0ms256×pre80true

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
12.7b
(/ (- (* a a) (* b b)) (* a a))

rewrite10.0ms

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 div-exp 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 → 39
Calls
2 calls:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
9.0ms
(/ (- (* a a) (* b b)) (* a a))

series69.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
50.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify147.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0197340
1816296
24110295
35001292

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))
0.0b
(/ (- a b) a)

rewrite51.0ms

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))))
30.0ms
(* (/ (+ a b) a) (/ (- a b) a))
8.0ms
(/ (- a b) a)

series129.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ a b) a)
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
61.0ms
(* (/ (+ a b) a) (/ (- a b) a))
30.0ms
(/ (- a b) a)

simplify68.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0493951
12505870
25001867

prune322.0ms

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
34×times-frac
27×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
7×pow1 associate-/l/ distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r* associate-/l*
4×frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+ add-log-exp
3×sqrt-prod div-inv
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative flip-- distribute-lft-out
Counts
4 → 122
Calls
4 calls:
9.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
1.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
21.0ms
(* (+ a b) (/ (- a b) a))
10.0ms
(/ (- a b) a)

series169.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
16.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
60.0ms
(* (+ a b) (/ (- a b) a))
31.0ms
(/ (- a b) a)

simplify70.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0440815
12436731
25002729

prune300.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
147×add-sqr-sqrt
140×*-un-lft-identity
121×times-frac
102×sqrt-prod
76×add-cube-cbrt
38×associate-*l*
30×swap-sqr
26×distribute-lft-out--
24×pow1
23×associate-*r*
22×add-exp-log add-cbrt-cube
20×difference-of-squares
12×sqrt-div
11×unswap-sqr
10×associate-/l*
8×sqrt-pow1 pow1/2
7×prod-exp cbrt-unprod div-inv
6×frac-times associate-*r/ pow-prod-down associate-/r*
5×pow-prod-up
4×cbrt-undiv div-exp associate-*l/ associate-/l/ add-log-exp
3×pow-sqr distribute-lft-out
2×flip3-- frac-2neg div-sub clear-num *-commutative flip--
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 231
Calls
4 calls:
51.0ms
(* (/ (+ a b) a) (* (sqrt (/ (- a b) a)) (sqrt (/ (- a b) a))))
7.0ms
(/ (- a b) a)
7.0ms
(/ (- a b) a)
39.0ms
(* (sqrt (/ (- a b) a)) (sqrt (/ (- a b) a)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (/ (+ a b) a) (* (sqrt (/ (- a b) a)) (sqrt (/ (- a b) a))))
31.0ms
(/ (- a b) a)
36.0ms
(/ (- a b) a)
41.0ms
(* (sqrt (/ (- a b) a)) (sqrt (/ (- a b) a)))

simplify102.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
05351556
129441394
250011380

prune557.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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
0117
1117

end0.0ms

sample656.0ms

Algorithm
intervals
Results
205.0ms8000×body80valid
108.0ms7996×pre80false
103.0ms8000×pre80true