Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true
3.0ms220×pre80false

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1487
21107
32847
415807
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b
(- (* a a) (* b b))
12.4b
(/ (- (* 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))))
32.0ms
(- (* a a) (* b b))
53.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify34.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0241458
11037405
25001401

prune175.0ms

Pruning

2 alts after pruning (2 fresh and 0 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) (/ (- a b) a))
0.0b
(/ (+ a b) a)
0.0b
(/ (- 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))))
31.0ms
(* (/ (+ a b) a) (/ (- a b) a))
8.0ms
(/ (+ a b) a)
9.0ms
(/ (- a b) a)

series132.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))
22.0ms
(/ (+ a b) a)
31.0ms
(/ (- a b) a)

simplify65.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0505990
12546909
25002905

prune379.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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))))
31.0ms
(* (/ (+ a b) a) (/ (- a b) a))
8.0ms
(/ (+ a b) a)
9.0ms
(/ (- a b) a)

series137.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
66.0ms
(* (/ (+ a b) a) (/ (- a b) a))
23.0ms
(/ (+ a b) a)
32.0ms
(/ (- a b) a)

simplify65.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0505990
12546909
25002905

prune460.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1 (/ b a))
0.0b
(sqrt (fabs (* (/ (+ a b) a) (* 1 (- 1 (/ b a))))))
0.0b
(* (/ (+ a b) a) (* 1 (- 1 (/ b a))))
0.0b
(/ (+ a b) a)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
211×*-un-lft-identity
202×add-sqr-sqrt
195×prod-diff
193×add-cube-cbrt
164×distribute-rgt-in distribute-lft-in
161×times-frac
23×add-exp-log
18×add-cbrt-cube
17×div-inv
16×associate-*l*
10×pow1 prod-exp
7×distribute-lft-out
6×associate-*r/ cbrt-unprod add-log-exp
5×sub-neg
4×expm1-log1p-u div-exp log1p-expm1-u associate-/l* difference-of-squares
3×cbrt-undiv flip3-- fma-neg pow-prod-down associate-/r* sqrt-prod flip--
2×frac-times 1-exp associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log associate-*r* associate-*l/ clear-num *-commutative flip-+ distribute-lft-out--
Counts
4 → 319
Calls
4 calls:
9.0ms
(- 1 (/ b a))
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (* 1 (- 1 (/ b a))))))
66.0ms
(* (/ (+ a b) a) (* 1 (- 1 (/ b a))))
8.0ms
(/ (+ a b) a)

series111.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- 1 (/ b a))
13.0ms
(sqrt (fabs (* (/ (+ a b) a) (* 1 (- 1 (/ b a))))))
61.0ms
(* (/ (+ a b) a) (* 1 (- 1 (/ b a))))
22.0ms
(/ (+ a b) a)

simplify80.0ms

Algorithm
egg-herbie
Counts
331 → 331
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
017726128
150024501

prune383.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes31.0ms

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

sample604.0ms

Algorithm
intervals
Results
189.0ms8000×body80valid
97.0ms8000×pre80true
92.0ms8008×pre80false