Details

Time bar (total: 36.6s)

sample36.0ms

Algorithm
intervals
Results
13.0ms297×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (fabs (- x y)) (fabs y))

simplify1.1s

Counts
32 → 32
Iterations

Useful iterations: 3 (190.0ms)

IterNodesCost
054385
193376
2268350
31252348
done5001348

prune124.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.1b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
10.0ms
(/ (fabs y) (fabs (- x y)))
20.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series37.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (fabs y) (fabs (- x y)))
16.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify1.9s

Counts
113 → 113
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01531781
13641567
221201475
done50011370

prune765.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
2713×times-frac
1443×sqrt-prod
1202×add-sqr-sqrt
1196×add-cube-cbrt *-un-lft-identity
130×div-inv
56×associate-/l*
32×associate-/r*
21×sqrt-div
19×associate-/r/
17×add-exp-log
15×pow1
11×add-cbrt-cube
8×pow-flip div-exp
7×sqrt-pow1 pow1/2
6×pow-div
4×cbrt-undiv expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num inv-pow
1×associate-/l/
Counts
4 → 1085
Calls
4 calls:
9.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
8.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
29.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
66.0ms
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
29.0ms
(sqrt (/ (fabs y) (fabs (- x y))))
30.0ms
(/ 1 (sqrt (/ (fabs y) (fabs (- x y)))))
11.0ms
(/ (/ 1 (sqrt (/ (fabs y) (fabs (- x y))))) (sqrt (/ (fabs y) (fabs (- x y)))))

simplify3.5s

Counts
1097 → 1097
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0149143370
1365638834
done500035635

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.9s

Algorithm
rewrite-expression-head
Rules
8424×times-frac
6668×sqrt-prod
6462×add-sqr-sqrt
3038×*-un-lft-identity
2238×add-cube-cbrt
1012×associate-*r*
777×unswap-sqr
423×associate-*l*
222×div-inv
121×add-exp-log
70×div-exp
49×add-cbrt-cube
41×associate-/r*
28×associate-/l*
26×sqrt-div
25×prod-exp
23×cbrt-undiv associate-/r/
13×rec-exp 1-exp
11×pow1
9×pow-flip cbrt-unprod
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×frac-2neg clear-num inv-pow
2×pow1/2
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 2876
Calls
4 calls:
51.0ms
(/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y))))))
8.0ms
(/ 1 (sqrt (fabs y)))
6.3s
(* (/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))) (/ (/ 1 (sqrt (/ 1 (fabs (- x y))))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))))
25.0ms
(/ 1 (sqrt (/ 1 (fabs (- x y)))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y))))))
19.0ms
(/ 1 (sqrt (fabs y)))
21.0ms
(* (/ (/ 1 (sqrt (fabs y))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))) (/ (/ 1 (sqrt (/ 1 (fabs (- x y))))) (sqrt (sqrt (/ (fabs y) (fabs (- x y)))))))
14.0ms
(/ 1 (sqrt (/ 1 (fabs (- x y)))))

simplify2.5s

Counts
2888 → 2888
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02593140520
done5001136141

prune15.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes106.0ms

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

sample663.0ms

Algorithm
intervals
Results
309.0ms9108×body80valid