Details

sample207.0ms

Algorithm

intervals

Results

84.0ms	120×	body	320	valid
47.0ms	286×	body	80	nan
47.0ms	129×	body	160	valid
1.0ms	7×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	4601
3	571
2	128
1	47
0	19

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 38.6b

localize39.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
9.4b	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
30.8b	(sqrt (* (- g h) (+ g h)))
30.8b	(sqrt (* (- g h) (+ g h)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
12×	`frac-times`
10×	`pow1` `cbrt-div`
8×	`flip3-+` `flip3--` `associate-*r/` `flip-+` `flip--`
6×	`associate-*l/`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-prod` `pow1/2` `pow1/3` `pow-prod-down` `sqrt-prod`

Counts

4 → 78

Calls

4 calls:

14.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
71.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
19.0ms	(sqrt (* (- g h) (+ g h)))
10.0ms	(sqrt (* (- g h) (+ g h)))

series1.1s

Counts

4 → 12

Calls

4 calls:

446.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
469.0ms	(cbrt (* (/ 1/2 a) (- (sqrt (* (- g h) (+ g h))) g)))
84.0ms	(sqrt (* (- g h) (+ g h)))
109.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1693
1	454
0	195

prune891.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 31.6b

localize60.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ g (sqrt (* (- g h) (+ g h))))
9.0b	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
30.8b	(sqrt (* (- g h) (+ g h)))
30.8b	(sqrt (* (- g h) (+ g h)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`frac-times` `pow1`
9×	`flip3-+` `flip-+`
7×	`*-un-lft-identity`
6×	`flip3--` `associate-*r/` `flip--` `add-log-exp`
5×	`add-sqr-sqrt` `cbrt-div` `associate-*l/` `add-cube-cbrt`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `distribute-lft-out`

Counts

4 → 79

Calls

4 calls:

4.0ms	(+ g (sqrt (* (- g h) (+ g h))))
6.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
16.0ms	(sqrt (* (- g h) (+ g h)))
17.0ms	(sqrt (* (- g h) (+ g h)))

series662.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ g (sqrt (* (- g h) (+ g h))))
427.0ms	(cbrt (* (/ -1/2 a) (+ g (sqrt (* (- g h) (+ g h))))))
69.0ms	(sqrt (* (- g h) (+ g h)))
79.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1383
1	372
0	156

prune746.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 31.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
1.2b	(+ g (sqrt (* (- g h) (+ g h))))
30.8b	(sqrt (* (- g h) (+ g h)))
30.8b	(sqrt (* (- g h) (+ g h)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`pow1`
8×	`frac-times` `*-un-lft-identity`
7×	`flip3-+` `flip-+`
6×	`add-sqr-sqrt` `flip3--` `add-cube-cbrt` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `fma-def`
2×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`+-commutative` `sum-log` `pow1/3` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt a)
4.0ms	(+ g (sqrt (* (- g h) (+ g h))))
9.0ms	(sqrt (* (- g h) (+ g h)))
10.0ms	(sqrt (* (- g h) (+ g h)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt a)
79.0ms	(+ g (sqrt (* (- g h) (+ g h))))
69.0ms	(sqrt (* (- g h) (+ g h)))
95.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1104
1	266
0	112

prune962.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 31.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
1.2b	(+ g (sqrt (* (- g h) (+ g h))))
30.8b	(sqrt (* (- g h) (+ g h)))
30.8b	(sqrt (* (- g h) (+ g h)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`pow1`
8×	`frac-times` `*-un-lft-identity`
7×	`flip3-+` `flip-+`
6×	`add-sqr-sqrt` `flip3--` `add-cube-cbrt` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `fma-def`
2×	`pow1/2` `pow-prod-down` `sqrt-prod`
1×	`+-commutative` `sum-log` `pow1/3` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt a)
10.0ms	(+ g (sqrt (* (- g h) (+ g h))))
9.0ms	(sqrt (* (- g h) (+ g h)))
10.0ms	(sqrt (* (- g h) (+ g h)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt a)
93.0ms	(+ g (sqrt (* (- g h) (+ g h))))
76.0ms	(sqrt (* (- g h) (+ g h)))
75.0ms	(sqrt (* (- g h) (+ g h)))

simplify1.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1104
1	266
0	112

prune738.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 31.1b

regimes669.0ms

Accuracy

0% (2.1b remaining)

Error of 32.2b against oracle of 30.1b and baseline of 32.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.8s	3805×	body	320	valid
2.2s	4059×	body	160	valid
1.7s	8083×	body	80	nan
24.0ms	136×	body	80	valid