Details

sample139.0ms

Algorithm

intervals

Results

40.0ms	119×	body	320	valid
37.0ms	277×	body	80	nan
27.0ms	125×	body	160	valid
1.0ms	12×	body	80	valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2064
7	1304
6	1067
5	847
4	542
3	270
2	121
1	43
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize86.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `flip3--` `add-cbrt-cube` `sqrt-div` `associate-*r/` `add-exp-log` `flip--` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `associate-*l/` `flip-+` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

37.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
33.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
13.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

463.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (- g) (sqrt (- (* g g) (* h h))))))
485.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
73.0ms	(sqrt (- (* g g) (* h h)))
74.0ms	(sqrt (- (* g g) (* h h)))

simplify2.9s

Counts

72 → 72

Iterations

Iter	Nodes
done	5003
3	4580
2	1256
1	386
0	166

prune923.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 34.3b

localize77.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
36.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* g g) (* h h))
461.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
62.0ms	(sqrt (- (* g g) (* h h)))
67.0ms	(sqrt (- (* g g) (* h h)))

simplify2.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	3964
2	991
1	304
0	135

prune743.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 34.2b

localize93.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (* g g) (* h h))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

12.0ms	(- (* g g) (* h h))
29.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

series654.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* g g) (* h h))
477.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (- g) (sqrt (- (* g g) (* h h))))))
70.0ms	(sqrt (- (* g g) (* h h)))
67.0ms	(sqrt (- (* g g) (* h h)))

simplify3.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	3964
2	991
1	304
0	135

prune813.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 34.2b

localize135.0ms

Local error

Found 4 expressions with local error:

32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))
32.5b	(sqrt (- (* g g) (* h h)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

7.0ms	(sqrt (- (* g g) (* h h)))
12.0ms	(sqrt (- (* g g) (* h h)))
14.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (- (* g g) (* h h)))
63.0ms	(sqrt (- (* g g) (* h h)))
64.0ms	(sqrt (- (* g g) (* h h)))
54.0ms	(sqrt (- (* g g) (* h h)))

simplify2.9s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
5	3690
4	1096
3	469
2	204
1	98
0	44

prune844.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 34.2b

regimes1.5s

Accuracy

68.7% (1.0b remaining)

Error of 32.0b against oracle of 30.9b and baseline of 34.2b

bsearch43.0ms

Steps

Iters	Range		Point
2	3.9133474717077204e-179	4.523817290746907e-179	4.447508563367008e-179

simplify25.0ms

Iterations

Iter	Nodes
done	48
3	48
2	45
1	41
0	31

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.0s	3746×	body	320	valid
1.6s	4096×	body	160	valid
1.1s	7955×	body	80	nan
18.0ms	158×	body	80	valid