Details

sample214.0ms

Algorithm

intervals

Results

72.0ms	619×	body	80	valid
51.0ms	633×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2322
6	746
5	367
4	204
3	92
2	43
1	26
0	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
11×	`add-sqr-sqrt` `add-cbrt-cube`
9×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
7×	`exp-prod` `associate-r`
6×	`associate-*l/`
5×	`pow-prod-down` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`times-frac`
2×	`sqrt-pow1` `flip3--` `*-commutative` `sqrt-prod` `flip--`
1×	`pow1/2` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 75

Calls

4 calls:

131.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
6.0ms	(exp (/ (* t t) 2.0))
6.0ms	(sqrt (* z 2.0))
62.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
26.0ms	(exp (/ (* t t) 2.0))
65.0ms	(sqrt (* z 2.0))
126.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	2162
1	495
0	189

prune584.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite309.0ms

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×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

4.0ms	(exp (/ (* t t) 2.0))
187.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
43.0ms	(* (- (* x 0.5) y) (sqrt z))
73.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series502.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(exp (/ (* t t) 2.0))
231.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
83.0ms	(* (- (* x 0.5) y) (sqrt z))
159.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	2223
1	452
0	178

prune674.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-r`
12×	`add-sqr-sqrt` `associate-*l/`
11×	`pow-prod-down`
10×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`sqrt-pow1`
1×	`pow1/2` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

122.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
290.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
3.0ms	(sqrt (* z 2.0))
45.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
197.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
60.0ms	(sqrt (* z 2.0))
181.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	3115
1	614
0	217

prune673.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* 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)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1` `add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod`
5×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 102

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
23.0ms	(* (- (* x 0.5) y) (sqrt z))
158.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
55.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (* t t) 2.0))
87.0ms	(* (- (* x 0.5) y) (sqrt z))
139.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
174.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	2542
1	500
0	195

prune617.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.2s	17656×	body	80	nan
1.8s	17876×	body	80	valid