Details

sample242.0ms

Algorithm

intervals

Results

87.0ms	622×	body	80	valid
65.0ms	661×	body	80	nan

simplify4.6s

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize117.0ms

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)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite793.0ms

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:

30.0ms	(/ (* t t) 2.0)
10.0ms	(exp (/ (* t t) 2.0))
302.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
448.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* t t) 2.0)
37.0ms	(exp (/ (* t t) 2.0))
369.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
206.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify3.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5004
2	1585
1	483
0	178

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 3 expressions with local error:

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

rewrite430.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`pow-unpow`
11×	`associate-r`
10×	`add-cbrt-cube` `prod-exp`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`pow-to-exp` `exp-prod` `pow-exp` `insert-posit16` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

27.0ms	(pow (exp t) (/ t 2.0))
255.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
139.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series684.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(pow (exp t) (/ t 2.0))
430.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
169.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify3.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1603
1	533
0	188

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize126.0ms

Local error

Found 4 expressions with local error:

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

rewrite529.0ms

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-l`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-r` `pow-prod-down` `insert-posit16`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `flip3--` `sqrt-prod` `flip--` `associate-/l*` `unswap-sqr` `rem-exp-log`

Counts

4 → 79

Calls

4 calls:

134.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
43.0ms	(/ (* t t) 2.0)
19.0ms	(exp (/ (* t t) 2.0))
324.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series638.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
43.0ms	(/ (* t t) 2.0)
25.0ms	(exp (/ (* t t) 2.0))
407.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify3.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1751
1	516
0	187

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

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)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite687.0ms

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:

11.0ms	(exp (/ (* t t) 2.0))
440.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
88.0ms	(* (- (* x 0.5) y) (sqrt z))
142.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series727.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(exp (/ (* t t) 2.0))
396.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
108.0ms	(* (- (* x 0.5) y) (sqrt z))
188.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1461
1	443
0	174

prune976.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes2.6s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.8s	17984×	body	80	valid
2.1s	17871×	body	80	nan