Details

sample326.0ms

Algorithm

intervals

Results

138.0ms	678×	body	80	nan
80.0ms	622×	body	80	valid

simplify9.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1404
6	513
5	274
4	176
3	91
2	40
1	25
0	15

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize52.0ms

Local error

Found 3 expressions with local error:

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

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

260.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
31.0ms	(/ (* t t) 2.0)
71.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series1.1s

Counts

3 → 9

Calls

3 calls:

426.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
350.0ms	(/ (* t t) 2.0)
310.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify6.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5008
2	1483
1	447
0	160

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite888.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

663.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
20.0ms	(/ (* t t) 2.0)
69.0ms	(* (- (* x 0.5) y) (sqrt z))
127.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series904.0ms

Counts

4 → 12

Calls

4 calls:

384.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
96.0ms	(/ (* t t) 2.0)
121.0ms	(* (- (* x 0.5) y) (sqrt z))
303.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1973
1	510
0	182

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

21.0ms	(/ (* t t) 2.0)
21.0ms	(/ (* t t) 2.0)
65.0ms	(* (- (* x 0.5) y) (sqrt z))
155.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series483.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (* t t) 2.0)
79.0ms	(/ (* t t) 2.0)
112.0ms	(* (- (* x 0.5) y) (sqrt z))
238.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5011
2	1505
1	387
0	143

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize362.0ms

Local error

Found 4 expressions with local error:

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

rewrite877.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

58.0ms	(/ (* t t) 2.0)
209.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
58.0ms	(* (- (* x 0.5) y) (sqrt z))
521.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series2.5s

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (* t t) 2.0)
1.3s	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
372.0ms	(* (- (* x 0.5) y) (sqrt z))
687.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify4.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	2027
1	537
0	197

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes3.6s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample20.8s

Algorithm

intervals

Results

10.2s	17771×	body	80	nan
7.9s	17937×	body	80	valid