Details

Time bar (total: 3.7s)

sample26.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
6.0ms256×pre80true
3.0ms263×pre80false

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

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))))
11.7b
(/ (- (* 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))

series97.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
50.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify160.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (154.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune138.0ms

Filtered
61 candidates to 45 candidates (73.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a b) a)
0.0b
(/ (+ a b) a)
0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(* (/ (+ a b) a) (/ (- 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:
7.0ms
(/ (- a b) a)
7.0ms
(/ (+ a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
30.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series127.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (- a b) a)
21.0ms
(/ (+ a b) a)
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
60.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0493951
12505870
25001867

prune329.0ms

Filtered
155 candidates to 106 candidates (68.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
53×add-sqr-sqrt
43×times-frac
34×add-cube-cbrt
19×associate-*r*
18×add-exp-log add-cbrt-cube
16×associate-*l*
8×pow1
7×log-pow distribute-lft-out
6×exp-prod sqrt-prod
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod associate-/l* add-log-exp unswap-sqr
3×log-prod associate-/r* div-inv distribute-lft-out-- difference-of-squares
2×associate-/l/
1×frac-times rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
4 → 123
Calls
4 calls:
2.0ms
(log (exp (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))))
8.0ms
(/ (+ a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
30.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series114.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0465954
12123866
25002864

prune324.0ms

Filtered
135 candidates to 90 candidates (66.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (/ (+ a b) a) (sqrt a)) (/ (- a b) (sqrt a)))))
0.2b
(/ (/ (+ a b) a) (sqrt a))
0.3b
(* (/ (/ (+ a b) a) (sqrt a)) (/ (- a b) (sqrt a)))
0.5b
(/ (- a b) (sqrt a))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
436×times-frac
316×*-un-lft-identity
297×add-sqr-sqrt
212×add-cube-cbrt
146×sqrt-prod
100×associate-*l*
39×distribute-lft-out
34×associate-*r*
32×add-exp-log add-cbrt-cube
21×associate-/l*
17×div-inv
15×unswap-sqr
13×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
12×associate-/r*
7×pow1
6×prod-exp cbrt-unprod
4×add-log-exp
3×associate-/l/
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 375
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (/ (+ a b) a) (sqrt a)) (/ (- a b) (sqrt a)))))
13.0ms
(/ (/ (+ a b) a) (sqrt a))
89.0ms
(* (/ (/ (+ a b) a) (sqrt a)) (/ (- a b) (sqrt a)))
10.0ms
(/ (- a b) (sqrt a))

series223.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (/ (+ a b) a) (sqrt a)) (/ (- a b) (sqrt a)))))
66.0ms
(/ (/ (+ a b) a) (sqrt a))
86.0ms
(* (/ (/ (+ a b) a) (sqrt a)) (/ (- a b) (sqrt a)))
55.0ms
(/ (- a b) (sqrt a))

simplify67.0ms

Algorithm
egg-herbie
Counts
387 → 387
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012463899
150013616

prune978.0ms

Filtered
387 candidates to 227 candidates (58.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes32.0ms

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
01512
11512

end0.0ms

sample596.0ms

Algorithm
intervals
Results
196.0ms8000×body80valid
88.0ms8000×pre80true
88.0ms8133×pre80false