Details

Time bar (total: 1.6s)

sample13.0ms

Algorithm
intervals
Results
5.0ms278×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
2.0ms
(/ (fabs (- x y)) (fabs y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))

simplify90.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt sqrt-prod
71×times-frac
58×add-cube-cbrt *-un-lft-identity
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 172
Calls
4 calls:
2.0ms
(/ (fabs (- x y)) (fabs y))
2.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
2.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
19.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
16.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
22.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
8.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
02411615
111581494
250011460

prune424.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b
(/ (* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs (- x y)))) (sqrt (fabs y)))
0.2b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs (- x y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
44×add-sqr-sqrt
27×times-frac
26×add-cube-cbrt *-un-lft-identity
16×associate-*l*
11×add-exp-log add-cbrt-cube
10×pow1
6×associate-*r* associate-/r* unswap-sqr
4×expm1-log1p-u sqrt-pow1 pow1/2 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-div pow-prod-down div-inv
2×cbrt-undiv sqrt-unprod div-exp associate-*l/ prod-exp cbrt-unprod
1×sqrt-undiv frac-2neg clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 118
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
3.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
8.0ms
(/ (* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs (- x y)))) (sqrt (fabs y)))
13.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs (- x y))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (fabs (- x y)))
17.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
8.0ms
(/ (* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs (- x y)))) (sqrt (fabs y)))
22.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (fabs (- x y))))

simplify40.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02601301
110511228
250011216

prune342.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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
064

end0.0ms

sample315.0ms

Algorithm
intervals
Results
169.0ms9119×body80valid