Details

Time bar (total: 4.0s)

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms265×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

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))))
13.4b
(/ (- (* 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:
3.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
9.0ms
(/ (- (* a a) (* b b)) (* a a))

series104.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
52.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify33.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0241458
11037405
25001401

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite56.0ms

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:
8.0ms
(/ (+ a b) a)
9.0ms
(/ (- a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
33.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series126.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ a b) a)
29.0ms
(/ (- a b) a)
15.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
61.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify72.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0505991
12546909
25002905

prune354.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
64×*-un-lft-identity
62×times-frac
40×add-cube-cbrt
38×associate-*r*
32×associate-*l*
28×add-exp-log add-cbrt-cube
8×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
6×cbrt-prod distribute-lft-out distribute-lft-out-- difference-of-squares
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 148
Calls
4 calls:
0.0ms
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
1.0ms
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
34.0ms
(* (/ (+ a b) a) (/ (- a b) a))
30.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series244.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
62.0ms
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
58.0ms
(* (/ (+ a b) a) (/ (- a b) a))
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify57.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03961276
118501134
250011130

prune533.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (- a b) a))
0.0b
(cbrt (/ (- a b) a))
0.0b
(cbrt (/ (- a b) a))
0.0b
(* (* (/ (+ a b) a) (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a)))) (cbrt (/ (- a b) a)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
76×cbrt-prod
65×add-sqr-sqrt *-un-lft-identity
60×times-frac
41×add-cube-cbrt
27×cbrt-div
22×add-exp-log associate-*r*
17×frac-times
13×pow1 associate-*l/ add-cbrt-cube
12×distribute-lft-out-- difference-of-squares
11×associate-*r/ prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3
2×cbrt-undiv div-exp
1×associate-*l* *-commutative
Counts
4 → 151
Calls
4 calls:
3.0ms
(cbrt (/ (- a b) a))
3.0ms
(cbrt (/ (- a b) a))
3.0ms
(cbrt (/ (- a b) a))
152.0ms
(* (* (/ (+ a b) a) (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a)))) (cbrt (/ (- a b) a)))

series737.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt (/ (- a b) a))
223.0ms
(cbrt (/ (- a b) a))
222.0ms
(cbrt (/ (- a b) a))
72.0ms
(* (* (/ (+ a b) a) (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a)))) (cbrt (/ (- a b) a)))

simplify72.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04971707
121911507
250021444

prune481.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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

sample604.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid
97.0ms8000×pre80true
93.0ms7960×pre80false