Details

Time bar (total: 3.1s)

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms262×pre80false
3.0ms256×pre80true

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1487
21107
32847
415807
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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b
(- (* a a) (* b b))
11.7b
(/ (- (* 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×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:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
3.0ms
(- (* a a) (* b b))
9.0ms
(/ (- (* a a) (* b b)) (* a a))

series102.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
31.0ms
(- (* a a) (* b b))
54.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify35.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0241458
11037405
25001401

prune167.0ms

Filtered
69 candidates to 53 candidates (76.8%)
Pruning

2 alts after pruning (2 fresh and 0 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)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite53.0ms

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))))
8.0ms
(/ (+ a b) a)
11.0ms
(/ (- a b) a)
28.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series131.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
21.0ms
(/ (+ a b) a)
34.0ms
(/ (- a b) a)
60.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0505990
12546909
25001905

prune365.0ms

Filtered
163 candidates to 114 candidates (69.9%)
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))
0.0b
(/ (* (+ a b) (/ (- a b) a)) a)
0.0b
(/ (- a b) a)

rewrite44.0ms

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×expm1-log1p-u frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+ log1p-expm1-u 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 → 130
Calls
4 calls:
1.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
21.0ms
(* (+ a b) (/ (- a b) a))
9.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
9.0ms
(/ (- a b) a)

series168.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
57.0ms
(* (+ a b) (/ (- a b) a))
62.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
33.0ms
(/ (- a b) a)

simplify71.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0453858
12492775
25001769

prune322.0ms

Filtered
142 candidates to 102 candidates (71.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ a b) (/ (- a b) a))
0.0b
(/ (* (+ a b) (/ (- a b) a)) a)
0.0b
(/ (- a b) a)
0.0b
(expm1 (log1p (/ (* (+ a b) (/ (- a b) a)) a)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
42×*-un-lft-identity
34×times-frac
26×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
7×associate-/l/ distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv div-exp associate-/r* associate-/l*
4×expm1-log1p-u frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×expm1-log1p flip3-- div-sub pow-prod-down *-commutative flip-- distribute-lft-out expm1-udef
Counts
4 → 126
Calls
4 calls:
24.0ms
(* (+ a b) (/ (- a b) a))
9.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
8.0ms
(/ (- a b) a)
0.0ms
(expm1 (log1p (/ (* (+ a b) (/ (- a b) a)) a)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (+ a b) (/ (- a b) a))
63.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
30.0ms
(/ (- a b) a)
126.0ms
(expm1 (log1p (/ (* (+ a b) (/ (- a b) a)) a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0459797
12479709
25002704

prune383.0ms

Filtered
138 candidates to 101 candidates (73.2%)
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
0139
1139

end0.0ms

sample609.0ms

Algorithm
intervals
Results
199.0ms8000×body80valid
92.0ms7972×pre80false
92.0ms8000×pre80true