Details

sample232.0ms

Algorithm

intervals

Results

102.0ms	622×	body	80	valid
83.0ms	661×	body	80	nan

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

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)))

rewrite177.0ms

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:

13.0ms	(/ (* t t) 2.0)
5.0ms	(exp (/ (* t t) 2.0))
116.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
42.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* t t) 2.0)
30.0ms	(exp (/ (* t t) 2.0))
199.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
143.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	2669
1	483
0	178

prune553.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite179.0ms

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:

7.0ms	(pow (exp t) (/ t 2.0))
117.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
54.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series459.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(pow (exp t) (/ t 2.0))
236.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
151.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	2478
1	543
0	188

prune492.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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))))

rewrite178.0ms

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:

35.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
13.0ms	(/ (* t t) 2.0)
5.0ms	(exp (/ (* t t) 2.0))
123.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
40.0ms	(/ (* t t) 2.0)
21.0ms	(exp (/ (* t t) 2.0))
201.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	2662
1	516
0	187

prune502.0ms

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

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

25.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
5.0ms	(exp (/ (* t t) 2.0))
166.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0)))))
51.0ms	(* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
23.0ms	(exp (/ (* t t) 2.0))
241.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0)))))
135.0ms	(* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1941
1	448
0	172

prune562.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.1s	17871×	body	80	nan
2.9s	17984×	body	80	valid