Details

sample100.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
10.0ms	267×	body	80	nan

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	19	11
3	21	11
done	21	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`pow1` `associate-/r/` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

2 → 53

Calls

2 calls:

46.0ms	(/ (- 1.0 x) (+ 1.0 x))
3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series72.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- 1.0 x) (+ 1.0 x))
17.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify775.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	102	765
1	245	738
2	1061	684
done	5000	684

prune225.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1.0 x))
0.0b	(/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
0.0b	(/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))
0.0b	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
79×	`add-sqr-sqrt`
64×	`cbrt-prod` `times-frac`
51×	`add-cube-cbrt`
50×	`sqrt-prod`
28×	`cbrt-div`
16×	`distribute-lft-out` `associate-/l*`
14×	`flip3-+` `flip-+`
13×	`add-exp-log`
11×	`pow1`
10×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
9×	`swap-sqr`
8×	`frac-times` `associate-/r*` `add-cbrt-cube`
7×	`pow1/3` `associate-r` `associate-l`
4×	`sqrt-div` `associate-r/` `associate-l/` `associate-/l/` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`flip3--` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `pow-prod-up` `flip--` `cbrt-unprod` `div-inv`
1×	`pow2` `pow-plus` `*-commutative`

Counts

4 → 195

Calls

4 calls:

4.0ms	(cbrt (+ 1.0 x))
56.0ms	(/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
48.0ms	(/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))
57.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series936.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ 1.0 x))
349.0ms	(/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))
347.0ms	(/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))
134.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify2.0s

Counts

207 → 207

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	348	3699
1	818	3401
2	3527	3263
done	5000	3236

prune950.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) (+ 1.0 x))
1.0b	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
1.0b	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
1.0b	(* (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`sqrt-prod`
21×	`pow1`
20×	`times-frac`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
6×	`associate-r` `associate-l` `distribute-lft-out`
5×	`pow-prod-up` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `div-sub` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 121

Calls

4 calls:

45.0ms	(/ (- 1.0 x) (+ 1.0 x))
2.0ms	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
2.0ms	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
23.0ms	(* (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))

series94.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- 1.0 x) (+ 1.0 x))
16.0ms	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
24.0ms	(sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))
6.0ms	(* (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))))

simplify1.1s

Counts

133 → 133

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	143	2330
1	332	1739
2	1421	1583
done	5001	1542

prune481.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	17	28
done	17	28

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
455.0ms	8113×	body	80	nan