Details

Time bar (total: 3.6s)

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true
3.0ms254×pre80false

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 17.7b

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))))
17.2b
(/ (- (* 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×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))

series101.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
53.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify30.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0241458
11037405
25001401

prune167.0ms

Filtered
69 candidates to 53 candidates (76.8%)
Pruning

3 alts after pruning (2 fresh and 1 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)
0.0b
(/ (- a b) a)
0.1b
(* (/ (+ a b) a) (/ (- 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))))
8.0ms
(/ (+ a b) a)
8.0ms
(/ (- a b) a)
28.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series130.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
21.0ms
(/ (+ a b) a)
35.0ms
(/ (- a b) a)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0505990
12546909
25001905

prune358.0ms

Filtered
163 candidates to 114 candidates (69.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a b) a)
0.0b
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
0.1b
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
53×*-un-lft-identity
46×times-frac
33×add-cube-cbrt
31×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×pow1 cbrt-undiv div-exp
8×cbrt-prod prod-exp cbrt-unprod
7×distribute-lft-out-- difference-of-squares
6×cube-div
5×pow-exp associate-/l* rem-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×frac-times pow-unpow cbrt-div associate-*r/ associate-*l/ associate-/r* div-inv distribute-lft-out
2×cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down associate-/l/ sqr-pow
1×pow-to-exp flip3-- frac-2neg pow1/3 div-sub clear-num *-commutative flip-- rem-cbrt-cube
Counts
4 → 156
Calls
4 calls:
8.0ms
(/ (- a b) a)
1.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
9.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
28.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series294.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (- a b) a)
71.0ms
(cbrt (pow (* (/ (+ a b) a) (/ (- a b) a)) 3))
124.0ms
(pow (* (/ (+ a b) a) (/ (- a b) a)) 3)
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify84.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05851041
13185997
25001994

prune444.0ms

Filtered
168 candidates to 116 candidates (69.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.0b
(* (sqrt (/ (+ a b) a)) (* (sqrt (/ (+ a b) a)) (/ (- a b) a)))
0.1b
(* (sqrt (/ (+ a b) a)) (/ (- a b) a))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
81×add-sqr-sqrt
71×times-frac
50×add-cube-cbrt
38×associate-*l*
36×sqrt-prod
22×add-exp-log add-cbrt-cube
20×associate-*r*
11×pow1
10×sqrt-div distribute-lft-out
9×associate-/l*
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×frac-times associate-*r/ associate-/r* unswap-sqr
5×div-inv
4×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ log1p-expm1-u associate-/l/ add-log-exp
2×frac-2neg clear-num *-commutative
1×flip3-- flip3-+ div-sub flip-- flip-+
Counts
4 → 182
Calls
4 calls:
8.0ms
(/ (+ a b) a)
8.0ms
(/ (- a b) a)
46.0ms
(* (sqrt (/ (+ a b) a)) (* (sqrt (/ (+ a b) a)) (/ (- a b) a)))
32.0ms
(* (sqrt (/ (+ a b) a)) (/ (- a b) a))

series182.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
36.0ms
(/ (- a b) a)
60.0ms
(* (sqrt (/ (+ a b) a)) (* (sqrt (/ (+ a b) a)) (/ (- a b) a)))
64.0ms
(* (sqrt (/ (+ a b) a)) (/ (- a b) a))

simplify87.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06021400
132371264
250011262

prune524.0ms

Filtered
194 candidates to 137 candidates (70.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

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
0149
1149

end0.0ms

sample649.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid
103.0ms8147×pre80false
100.0ms8000×pre80true