Details

sample88.0ms

Algorithm

intervals

Results

26.0ms	548×	body	80	nan
25.0ms	578×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	42	17
3	82	17
4	157	17
5	271	17
6	604	17
7	1669	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
43.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* t t) 2.0)
169.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
19.0ms	(exp (/ (* t t) 2.0))
106.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify881.0ms

Counts

97 → 97

Iterations

Useful iterations: done (879.0ms)

Iter	Nodes	Cost
0	183	1294
1	457	1223
2	1536	1068
done	5001	1044

prune336.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

3.0ms	(pow (exp t) (/ t 2.0))
37.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
18.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series398.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(pow (exp t) (/ t 2.0))
227.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
117.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.0s

Counts

92 → 92

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	192	1375
1	515	1272
2	1667	1148
done	5000	1144

prune360.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
20.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
52.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series320.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* t t) 2.0)
101.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
23.0ms	(exp (/ (* t t) 2.0))
170.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify761.0ms

Counts

95 → 95

Iterations

Useful iterations: done (759.0ms)

Iter	Nodes	Cost
0	192	1350
1	498	1278
2	1631	1117
done	5000	1112

prune332.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
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×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

82.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
16.0ms	(* (- (* x 0.5) y) (sqrt z))
22.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series441.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
66.0ms	(* (- (* x 0.5) y) (sqrt z))
142.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.1s

Counts

105 → 105

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	178	1629
1	440	1515
2	1573	1309
done	5000	1303

prune327.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes542.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	19	17
done	19	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

820.0ms	18146×	body	80	valid
804.0ms	18159×	body	80	nan