Details

Time bar (total: 2.3s)

sample13.0ms

Algorithm
intervals
Results
5.0ms309×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

localize8.0ms

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))

simplify84.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv expm1-log1p-u rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
8.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series7.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0181289
1730247
22578229
34915229
45001229

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ 1 (fabs y)))
0.1b
(sqrt (/ 1 (fabs y)))
0.3b
(* (* (fabs (- x y)) (sqrt (/ 1 (fabs y)))) (sqrt (/ 1 (fabs y))))
0.3b
(* (fabs (- x y)) (sqrt (/ 1 (fabs y))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
55×sqrt-prod
52×add-sqr-sqrt
42×times-frac
38×*-un-lft-identity
35×add-cube-cbrt
32×associate-*r*
15×pow1
11×add-exp-log add-cbrt-cube
7×sqrt-div
6×rem-sqrt-square sqrt-pow1
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
2×pow-flip pow1/2 *-commutative inv-pow
1×frac-times associate-*l/
Counts
4 → 133
Calls
4 calls:
3.0ms
(sqrt (/ 1 (fabs y)))
3.0ms
(sqrt (/ 1 (fabs y)))
28.0ms
(* (* (fabs (- x y)) (sqrt (/ 1 (fabs y)))) (sqrt (/ 1 (fabs y))))
11.0ms
(* (fabs (- x y)) (sqrt (/ 1 (fabs y))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (/ 1 (fabs y)))
14.0ms
(sqrt (/ 1 (fabs y)))
7.0ms
(* (* (fabs (- x y)) (sqrt (/ 1 (fabs y)))) (sqrt (/ 1 (fabs y))))
18.0ms
(* (fabs (- x y)) (sqrt (/ 1 (fabs y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
02621087
11074969
24148910
35002857

prune273.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (sqrt (fabs y)))
0.3b
(* (* (fabs (- x y)) (* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y)))))) (sqrt (/ 1 (fabs y))))
0.3b
(* (fabs (- x y)) (* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y))))))
0.5b
(* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y)))))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
257×sqrt-prod
201×add-sqr-sqrt
159×times-frac
114×*-un-lft-identity
88×add-cube-cbrt
51×pow1
49×sqrt-pow1
42×associate-*r*
37×unswap-sqr
35×swap-sqr
29×associate-*l*
27×pow-flip
24×add-exp-log
22×add-cbrt-cube
20×sqrt-div
17×pow1/2
16×pow-prod-down
14×associate-*r/
13×pow-prod-up
10×prod-exp cbrt-unprod
9×inv-pow
8×div-inv
7×frac-times associate-*l/ pow-sqr
6×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative associate-/l*
2×div-exp
1×cbrt-undiv pow2 rec-exp frac-2neg pow-plus sqrt-unprod 1-exp clear-num rem-square-sqrt
Counts
4 → 281
Calls
4 calls:
3.0ms
(/ 1 (sqrt (fabs y)))
196.0ms
(* (* (fabs (- x y)) (* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y)))))) (sqrt (/ 1 (fabs y))))
50.0ms
(* (fabs (- x y)) (* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y))))))
40.0ms
(* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y)))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1 (sqrt (fabs y)))
7.0ms
(* (* (fabs (- x y)) (* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y)))))) (sqrt (/ 1 (fabs y))))
17.0ms
(* (fabs (- x y)) (* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y))))))
14.0ms
(* (sqrt (/ 1 (sqrt (fabs y)))) (sqrt (/ 1 (sqrt (fabs y)))))

simplify99.0ms

Algorithm
egg-herbie
Counts
293 → 293
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05622874
128402289
250012169

prune672.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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

sample310.0ms

Algorithm
intervals
Results
167.0ms9180×body80valid