Details

sample45.0ms

Algorithm

intervals

Results

15.0ms	303×	body	80	nan
7.0ms	50×	body	1280	valid
4.0ms	135×	body	80	valid
4.0ms	36×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	16×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1))
4.8b	(- (sqrt (+ x 1)) (sqrt x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-cube-cbrt` `distribute-lft-out--`
2×	`add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `distribute-lft-out`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `diff-log` `flip-+` `flip--`

Counts

2 → 37

Calls

2 calls:

7.0ms	(sqrt (+ x 1))
24.0ms	(- (sqrt (+ x 1)) (sqrt x))

series104.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(sqrt (+ x 1))
78.0ms	(- (sqrt (+ x 1)) (sqrt x))

simplify1.9s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
4	2095
3	848
2	350
1	165
0	81

prune170.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1))
0.0b	(+ (sqrt (+ x 1)) (sqrt x))
0.2b	(/ (+ 1 0) (+ (sqrt (+ x 1)) (sqrt x)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
32×	`distribute-lft-out`
28×	`sqrt-prod`
24×	`times-frac`
17×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
6×	`associate-/r*`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `flip3-+` `flip-+` `associate-/l*`
3×	`insert-posit16`
2×	`sqrt-div` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

3 → 83

Calls

3 calls:

4.0ms	(sqrt (+ x 1))
26.0ms	(+ (sqrt (+ x 1)) (sqrt x))
69.0ms	(/ (+ 1 0) (+ (sqrt (+ x 1)) (sqrt x)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(sqrt (+ x 1))
58.0ms	(+ (sqrt (+ x 1)) (sqrt x))
89.0ms	(/ (+ 1 0) (+ (sqrt (+ x 1)) (sqrt x)))

simplify2.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5003
4	3628
3	1475
2	606
1	273
0	133

prune280.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1))))
0.2b	(/ (+ 1 0) (+ (* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1)))) (sqrt x)))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
13×	`cbrt-prod`
12×	`times-frac`
10×	`associate-r`
9×	`sqrt-prod`
8×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
6×	`pow1` `cbrt-div`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `associate-/l*` `add-log-exp`
3×	`associate-/r` `associate-l*` `unswap-sqr`
2×	`pow1/3` `sqrt-div` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 96

Calls

4 calls:

28.0ms	(* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1))))
36.0ms	(/ (+ 1 0) (+ (* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1)))) (sqrt x)))
2.0ms	(cbrt (+ x 1))
3.0ms	(cbrt (+ x 1))

series271.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1))))
137.0ms	(/ (+ 1 0) (+ (* (fabs (cbrt (+ x 1))) (sqrt (cbrt (+ x 1)))) (sqrt x)))
36.0ms	(cbrt (+ x 1))
40.0ms	(cbrt (+ x 1))

simplify2.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5038
2	2697
1	748
0	293

prune596.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))
5.0ms	(cbrt (+ x 1))

series205.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (+ x 1))
44.0ms	(cbrt (+ x 1))
56.0ms	(cbrt (+ x 1))
51.0ms	(cbrt (+ x 1))

simplify3.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5003
5	4809
4	1601
3	663
2	301
1	141
0	65

prune458.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

616.0ms	8149×	body	80	nan
313.0ms	1657×	body	1280	valid
283.0ms	1271×	body	640	valid
229.0ms	4137×	body	80	valid
60.0ms	624×	body	320	valid
20.0ms	311×	body	160	valid