Details

Time bar (total: 3.1s)

sample29.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
4.0ms331×pre80false
3.0ms256×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: 16.1b

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))))
15.6b
(/ (- (* 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))))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series100.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* a a) (* b b))
21.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
48.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify160.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (154.0ms)

IterNodesCost
0228418
1970368
24781367
35001366

prune133.0ms

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) (/ (- a b) a))
0.0b
(/ (+ 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))))
6.0ms
(/ (- a b) a)
17.0ms
(* (/ (+ a b) a) (/ (- a b) a))
6.0ms
(/ (+ a b) a)

series129.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
32.0ms
(/ (- a b) a)
56.0ms
(* (/ (+ a b) a) (/ (- a b) a))
25.0ms
(/ (+ a b) a)

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0493951
12505870
25001867

prune321.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:
1.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
11.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
6.0ms
(/ (- a b) a)
12.0ms
(* (+ a b) (/ (- a b) a))

series162.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
60.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
29.0ms
(/ (- a b) a)
58.0ms
(* (+ a b) (/ (- a b) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0440815
12436731
25001729

prune279.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))

rewrite69.0ms

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×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 → 287
Calls
4 calls:
8.0ms
(/ 1 (/ a (+ a b)))
6.0ms
(/ (- a b) a)
5.0ms
(/ a (+ a b))
35.0ms
(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

series153.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (/ a (+ a b)))
32.0ms
(/ (- a b) a)
37.0ms
(/ a (+ a b))
62.0ms
(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

simplify45.0ms

Algorithm
egg-herbie
Counts
299 → 299
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09582115
150011843

prune611.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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

sample608.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid
102.0ms8103×pre80false
91.0ms8000×pre80true