Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	88×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4
done	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `sqrt-prod` `add-cbrt-cube`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `sqrt-div` `associate-/r/` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `hypot-def` `div-inv`

Counts

2 → 54

Calls

2 calls:

7.0ms	(sqrt (+ x 1.0))
33.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series175.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(sqrt (+ x 1.0))
141.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify34.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	304	400
1	1151	366
2	5002	357
done	5002	357

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.1b	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
0.1b	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r*` `sqrt-prod` `associate-/r/`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `sqrt-div` `1-exp` `cbrt-unprod` `div-inv`
1×	`rem-sqrt-square` `pow-flip` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `hypot-def` `inv-pow`

Counts

3 → 101

Calls

3 calls:

7.0ms	(sqrt (+ x 1.0))
33.0ms	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
70.0ms	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series272.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(sqrt (+ x 1.0))
99.0ms	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
138.0ms	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify51.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	442	749
1	1974	650
2	5001	606
done	5001	606

prune171.0ms

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	(sqrt (+ x 1.0))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `sqrt-prod` `add-cbrt-cube`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `sqrt-div` `associate-/r/` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `hypot-def` `div-inv`

Counts

2 → 54

Calls

2 calls:

7.0ms	(sqrt (+ x 1.0))
34.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series178.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(sqrt (+ x 1.0))
141.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify34.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	304	400
1	1151	366
2	5002	357
done	5002	357

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(/ x (+ 1.0 (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`cbrt-prod`
10×	`associate-r`
9×	`times-frac` `sqrt-prod`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `distribute-lft-out` `associate-/l` `unswap-sqr`
2×	`pow1/3` `sqrt-div` `associate-*r/` `associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 94

Calls

4 calls:

28.0ms	(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
9.0ms	(/ x (+ 1.0 (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))

series507.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
91.0ms	(cbrt (+ x 1.0))
92.0ms	(cbrt (+ x 1.0))
222.0ms	(/ x (+ 1.0 (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))))

simplify77.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	707	1346
1	3177	1264
2	5002	1230
done	5002	1230

prune329.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5
done	13	5

end0.0ms

sample337.0ms

Algorithm

intervals

Results

151.0ms	8000×	body	80	valid
40.0ms	2615×	body	80	nan