Details

Time bar (total: 2.9s)

sample25.0ms

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

simplify53.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.1b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
18.5b
(/ (- (* a a) (* b b)) (* a a))

rewrite15.0ms

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:
4.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

series102.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
50.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify33.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0241458
11037405
25001401

prune140.0ms

Filtered
69 candidates to 53 candidates (76.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh000
Picked011
Done000
Total68270

Merged error: 0.0b

Counts
70 → 2

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

rewrite40.0ms

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))))
6.0ms
(/ (+ a b) a)
21.0ms
(* (/ (+ a b) a) (/ (- a b) a))
7.0ms
(/ (- a b) a)

series130.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
22.0ms
(/ (+ a b) a)
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))
29.0ms
(/ (- a b) a)

simplify70.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0505990
12546909
25001905

prune294.0ms

Filtered
163 candidates to 114 candidates (69.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1603163
Fresh000
Picked101
Done101
Total1623165

Merged error: 0b

Counts
165 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
45×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt
16×associate-*l*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×distribute-lft-out
6×pow1 associate-/r*
4×expm1-log1p-u log1p-expm1-u associate-/l/ distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×expm1-log1p flip3-- flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-- flip-+ expm1-udef
Counts
4 → 123
Calls
4 calls:
6.0ms
(/ (+ a b) a)
8.0ms
(* (/ (+ a b) a) (expm1 (log1p (/ (- a b) a))))
7.0ms
(/ (- a b) a)
1.0ms
(expm1 (log1p (/ (- a b) a)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ a b) a)
161.0ms
(* (/ (+ a b) a) (expm1 (log1p (/ (- a b) a))))
35.0ms
(/ (- a b) a)
94.0ms
(expm1 (log1p (/ (- a b) a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0386747
11583661
25001652

prune285.0ms

Filtered
135 candidates to 100 candidates (74.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done000
Total1353138

Merged error: 0b

Counts
138 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(* (/ (+ a b) a) (log1p (expm1 (/ (- a b) a))))
0.0b
(/ (- a b) a)
0.9b
(expm1 (/ (- a b) a))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
45×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt
16×associate-*l*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×distribute-lft-out
6×pow1 associate-/r*
5×log1p-expm1-u
4×expm1-log1p-u associate-/l/ distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×expm1-log1p flip3-- flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-- flip-+ expm1-udef
Counts
4 → 123
Calls
4 calls:
6.0ms
(/ (+ a b) a)
8.0ms
(* (/ (+ a b) a) (log1p (expm1 (/ (- a b) a))))
7.0ms
(/ (- a b) a)
1.0ms
(expm1 (/ (- a b) a))

series217.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ a b) a)
98.0ms
(* (/ (+ a b) a) (log1p (expm1 (/ (- a b) a))))
29.0ms
(/ (- a b) a)
69.0ms
(expm1 (/ (- a b) a))

simplify55.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0399743
11736659
25001656

prune279.0ms

Filtered
135 candidates to 99 candidates (73.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done011
Total1353138

Merged error: 0b

Counts
138 → 3

regimes33.0ms

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

sample636.0ms

Algorithm
intervals
Results
209.0ms8000×body80valid
97.0ms8000×pre80true
95.0ms7937×pre80false