Details

sample116.0ms

Algorithm

intervals

Results

35.0ms	550×	body	80	nan
33.0ms	516×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2095
6	679
5	324
4	182
3	88
2	41
1	25
0	15

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

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

rewrite68.0ms

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×	`associate-r`
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 → 68

Calls

4 calls:

11.0ms	(/ (* t t) 2.0)
5.0ms	(exp (/ (* t t) 2.0))
4.0ms	(sqrt (* z 2.0))
46.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* t t) 2.0)
20.0ms	(exp (/ (* t t) 2.0))
63.0ms	(sqrt (* z 2.0))
148.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	2416
1	441
0	168

prune535.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.0b	(pow (exp t) (/ t 2.0))
0.2b	(sqrt (* z 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`pow-unpow`
11×	`add-cbrt-cube` `associate-r`
10×	`pow1` `prod-exp`
9×	`times-frac`
6×	`unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `exp-prod` `pow-exp`
2×	`sqrt-pow1` `flip3--` `pow-prod-down` `*-commutative` `sqrt-prod` `flip--` `sqr-pow`
1×	`pow1/2` `div-inv` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

110.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
7.0ms	(pow (exp t) (/ t 2.0))
4.0ms	(sqrt (* z 2.0))
39.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
77.0ms	(pow (exp t) (/ t 2.0))
70.0ms	(sqrt (* z 2.0))
152.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.9s

Counts

100 → 100

Iterations

Iter	Nodes
done	5003
2	3101
1	635
0	219

prune711.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
28×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
14×	`pow1` `associate-r`
13×	`pow-unpow`
10×	`associate-l` `sqrt-prod` `cbrt-unprod`
9×	`times-frac`
6×	`unpow-prod-down` `pow-prod-down` `associate-*l/`
4×	`pow-to-exp` `pow-pow` `pow-exp` `add-log-exp` `unswap-sqr`
3×	`exp-prod` `*-commutative`
2×	`sqrt-pow1` `flip3--` `pow1/2` `flip--` `sqr-pow`
1×	`sqrt-unprod` `div-inv`

Counts

4 → 110

Calls

4 calls:

132.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
5.0ms	(pow (exp t) (/ t 2.0))
58.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
14.0ms	(* (sqrt z) (sqrt 2.0))

series625.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
72.0ms	(pow (exp t) (/ t 2.0))
184.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
74.0ms	(* (sqrt z) (sqrt 2.0))

simplify2.0s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	3064
1	642
0	219

prune837.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
19×	`associate-r`
13×	`pow-unpow`
12×	`pow1` `associate-*l/`
10×	`cbrt-unprod`
9×	`times-frac`
7×	`sqrt-prod`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-exp` `add-log-exp`
3×	`exp-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr` `sqr-pow`
1×	`div-inv`

Counts

4 → 107

Calls

4 calls:

195.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
5.0ms	(pow (exp t) (/ t 2.0))
31.0ms	(* (- (* x 0.5) y) (sqrt z))
50.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series699.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
87.0ms	(pow (exp t) (/ t 2.0))
72.0ms	(* (- (* x 0.5) y) (sqrt z))
230.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	3248
1	604
0	210

prune698.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.6s	17899×	body	80	valid
1.9s	17862×	body	80	nan