Details

sample210.0ms

Algorithm

intervals

Results

92.0ms	584×	body	80	valid
72.0ms	568×	body	80	nan

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1375
6	508
5	273
4	176
3	91
2	40
1	25
0	15

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down` `insert-posit16`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `sqrt-prod` `associate-/l*` `unswap-sqr` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

8.0ms	(/ (* t t) 2.0)
4.0ms	(exp (/ (* t t) 2.0))
87.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
41.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* t t) 2.0)
21.0ms	(exp (/ (* t t) 2.0))
161.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
106.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1594
1	483
0	178

prune515.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`-un-lft-identity` `associate-l/` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
4×	`insert-posit16`
3×	`times-frac` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 89

Calls

4 calls:

4.0ms	(exp (/ (* t t) 2.0))
153.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
24.0ms	(* (- (* x 0.5) y) (sqrt z))
48.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series494.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (* t t) 2.0))
224.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
86.0ms	(* (- (* x 0.5) y) (sqrt z))
162.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5004
2	1462
1	443
0	174

prune529.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite795.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube`
30×	`add-exp-log`
27×	`associate-r`
22×	`sqrt-prod`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 109

Calls

4 calls:

546.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
28.0ms	(* (- (* x 0.5) y) (sqrt z))
157.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
62.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
81.0ms	(* (- (* x 0.5) y) (sqrt z))
167.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
183.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify1.5s

Counts

121 → 121

Iterations

Iter	Nodes
done	5004
2	2094
1	569
0	205

prune669.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt (fabs (cbrt 2.0))) (- (* x 0.5) y)) (sqrt z)) (sqrt (sqrt (cbrt 2.0))))
0.4b	(* (* (sqrt (fabs (cbrt 2.0))) (- (* x 0.5) y)) (sqrt z))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `sqrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*l/`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-l` `*-commutative` `flip--`

Counts

4 → 81

Calls

4 calls:

207.0ms	(* (* (* (sqrt (fabs (cbrt 2.0))) (- (* x 0.5) y)) (sqrt z)) (sqrt (sqrt (cbrt 2.0))))
60.0ms	(* (* (sqrt (fabs (cbrt 2.0))) (- (* x 0.5) y)) (sqrt z))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series867.0ms

Counts

4 → 8

Calls

4 calls:

597.0ms	(* (* (* (sqrt (fabs (cbrt 2.0))) (- (* x 0.5) y)) (sqrt z)) (sqrt (sqrt (cbrt 2.0))))
270.0ms	(* (* (sqrt (fabs (cbrt 2.0))) (- (* x 0.5) y)) (sqrt z))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1758
1	486
0	183

prune671.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes1.2s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.2s	18096×	body	80	nan
2.8s	18082×	body	80	valid