Details

Time bar (total: 16.3s)

sample32.0ms

Algorithm
intervals
Results
13.0ms286×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
10.0ms
(/ (fabs (- x y)) (fabs y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.0s

Counts
32 → 32
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
054385
188376
2178348
3328348
4549348
5864348
62003348
done5000348

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
12×associate-/r*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 218
Calls
2 calls:
17.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
6.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series57.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
40.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify2.8s

Counts
224 → 224
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02515320
15304731
29944437
323224341
done50004290

prune539.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
103×sqrt-prod
93×add-sqr-sqrt
86×times-frac
64×add-cube-cbrt *-un-lft-identity
40×associate-*r*
20×add-exp-log add-cbrt-cube
12×associate-/r*
10×unswap-sqr
7×pow1 associate-/l*
6×cbrt-undiv div-exp associate-*l*
4×expm1-log1p-u sqrt-undiv prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×div-inv
2×frac-2neg sqrt-unprod associate-*r/ clear-num
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative associate-/l/
Counts
4 → 184
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
42.0ms
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
30.0ms
(/ (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (fabs y)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (fabs (- x y)))
20.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
36.0ms
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))
12.0ms
(/ (* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y)))) (sqrt (fabs y)))

simplify4.5s

Counts
196 → 196
Iterations

Useful iterations: 3 (2.4s)

IterNodesCost
01783693
13632992
211972612
347472545
done50012545

prune600.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
0.2b
(* (sqrt (fabs (- x y))) (/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y))))))
0.2b
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
0.2b
(/ (* (sqrt (fabs (- x y))) (/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))) (sqrt (fabs y)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
570×times-frac
365×add-sqr-sqrt
330×sqrt-prod
305×*-un-lft-identity
295×add-cube-cbrt
125×associate-*r*
64×add-exp-log
52×associate-/r*
34×add-cbrt-cube
30×div-exp
22×unswap-sqr
14×cbrt-undiv prod-exp
11×div-inv
10×associate-/l*
7×pow1
6×rec-exp 1-exp associate-*l* cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×sqrt-undiv pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 464
Calls
4 calls:
17.0ms
(/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
97.0ms
(* (sqrt (fabs (- x y))) (/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y))))))
8.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
39.0ms
(/ (* (sqrt (fabs (- x y))) (/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))) (sqrt (fabs y)))

series98.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
22.0ms
(* (sqrt (fabs (- x y))) (/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y))))))
30.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
16.0ms
(/ (* (sqrt (fabs (- x y))) (/ 1 (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))) (sqrt (fabs y)))

simplify2.3s

Counts
476 → 476
Iterations

Useful iterations: done (2.3s)

IterNodesCost
042110876
19378489
220867460
done50007204

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample590.0ms

Algorithm
intervals
Results
300.0ms9073×body80valid