Details

Time bar (total: 18.8s)

sample13.0ms

Algorithm
intervals
Results
5.0ms294×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
297
done97

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))

simplify3.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
054385
188376
2180348
3399348
4738348
51096348
62316348
done5000348

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.2b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite11.0ms

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:
2.0ms
(/ (fabs y) (fabs (- x y)))
5.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
7.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify6.1s

Counts
113 → 113
Iterations

Useful iterations: 3 (574.0ms)

IterNodesCost
01531781
13161611
26911388
314651370
423251370
535911370
done50001370

prune174.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
0.0b
(/ (fabs y) (fabs (- x y)))
0.2b
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
9×add-exp-log
7×add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg clear-num div-inv
1×rec-exp expm1-log1p pow-flip 1-exp inv-pow expm1-udef
Counts
3 → 73
Calls
3 calls:
0.0ms
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
2.0ms
(/ (fabs y) (fabs (- x y)))
2.0ms
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

series98.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
8.0ms
(/ (fabs y) (fabs (- x y)))
46.0ms
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

simplify3.9s

Counts
82 → 82
Iterations

Useful iterations: 3 (185.0ms)

IterNodesCost
01051122
1166960
2321882
3706844
41114844
51579844
63476844
done5001844

prune178.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y))))))
0.2b
(/ 1 (expm1 (log1p (* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y)))))))
0.3b
(/ (sqrt (fabs y)) (fabs (- x y)))
0.3b
(* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
49×times-frac
42×add-cube-cbrt *-un-lft-identity
29×sqrt-prod
22×associate-*r*
15×add-exp-log
13×add-cbrt-cube
9×associate-/l*
7×pow1
6×associate-*l* associate-/r* unswap-sqr
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×cbrt-undiv div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod
1×rec-exp expm1-log1p pow-flip 1-exp associate-*r/ pow-prod-down *-commutative inv-pow expm1-udef
Counts
4 → 135
Calls
4 calls:
0.0ms
(expm1 (log1p (* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y))))))
2.0ms
(/ 1 (expm1 (log1p (* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y)))))))
4.0ms
(/ (sqrt (fabs y)) (fabs (- x y)))
13.0ms
(* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(expm1 (log1p (* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y))))))
54.0ms
(/ 1 (expm1 (log1p (* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y)))))))
20.0ms
(/ (sqrt (fabs y)) (fabs (- x y)))
9.0ms
(* (sqrt (fabs y)) (/ (sqrt (fabs y)) (fabs (- x y))))

simplify3.6s

Counts
147 → 147
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
01592552
13021910
28911750
338491678
done50001678

prune331.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes61.0ms

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

sample313.0ms

Algorithm
intervals
Results
173.0ms9151×body80valid