Details

sample105.0ms

Algorithm

intervals

Results

33.0ms	571×	body	80	valid
32.0ms	594×	body	80	nan

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1585
6	613
5	332
4	198
3	95
2	42
1	26
0	15

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(sqrt (* z 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
7×	`exp-prod`
6×	`times-frac`
5×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`associate-/r` `associate-l*`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-*l/` `prod-exp` `sqrt-prod` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `flip3--` `pow1/2` `-commutative` `flip--` `associate-/l` `unswap-sqr` `rem-exp-log`

Counts

4 → 76

Calls

4 calls:

8.0ms	(/ (* t t) 2.0)
4.0ms	(exp (/ (* t t) 2.0))
7.0ms	(sqrt (* z 2.0))
30.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (* t t) 2.0)
31.0ms	(exp (/ (* t t) 2.0))
58.0ms	(sqrt (* z 2.0))
149.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5008
2	1599
1	457
0	176

prune634.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r`
11×	`pow1`
7×	`exp-prod` `sqrt-prod`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `div-inv` `flip--` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `rem-exp-log`

Counts

4 → 91

Calls

4 calls:

10.0ms	(/ (* t t) 2.0)
4.0ms	(exp (/ (* t t) 2.0))
25.0ms	(* (- (* x 0.5) y) (sqrt z))
82.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series333.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (* t t) 2.0)
33.0ms	(exp (/ (* t t) 2.0))
91.0ms	(* (- (* x 0.5) y) (sqrt z))
163.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1599
1	441
0	172

prune714.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite399.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1` `add-exp-log`
23×	`add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt` `associate-r`
12×	`-un-lft-identity` `associate-l/` `add-cube-cbrt`
7×	`exp-prod` `sqrt-prod`
6×	`cbrt-prod`
5×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 106

Calls

4 calls:

7.0ms	(exp (/ (* t t) 2.0))
245.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
41.0ms	(* (- (* x 0.5) y) (sqrt z))
100.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series879.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (* t t) 2.0))
156.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
76.0ms	(* (- (* x 0.5) y) (sqrt z))
627.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5006
2	1652
1	491
0	199

prune839.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
0.3b	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
0.3b	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite578.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`associate-r`
10×	`associate-l`
7×	`exp-prod` `sqrt-prod`
6×	`cbrt-prod` `associate-*l/`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `*-commutative`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

4.0ms	(exp (/ (* t t) 2.0))
131.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
416.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
24.0ms	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series968.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (* t t) 2.0))
536.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
167.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
244.0ms	(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify1.7s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1870
1	548
0	208

prune603.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	18346×	body	80	nan
1.8s	18330×	body	80	valid