Details

sample127.0ms

Algorithm

intervals

Results

37.0ms	574×	body	80	nan
33.0ms	562×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	41	17
3	88	17
4	161	17
5	265	17
6	587	17
7	1717	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 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)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(/ (* t t) 2.0)
152.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
79.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series359.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (* t t) 2.0)
205.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
125.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	160	1071
1	410	1017
2	1361	866
done	5001	842

prune363.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 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))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

11.0ms	(/ (* t t) 2.0)
242.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
57.0ms	(* (- (* x 0.5) y) (sqrt z))
83.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series526.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (* t t) 2.0)
262.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
64.0ms	(* (- (* x 0.5) y) (sqrt z))
153.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	182	1582
1	465	1470
2	1670	1247
done	5000	1217

prune457.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
0.4b	(* (sqrt 2.0) (sqrt z))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`pow1` `add-exp-log`
20×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-r` `associate-l` `sqrt-prod`
6×	`associate-*l/`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `flip--`
1×	`frac-2neg` `sqrt-unprod` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 94

Calls

4 calls:

17.0ms	(/ (* t t) 2.0)
179.0ms	(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
78.0ms	(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
13.0ms	(* (sqrt 2.0) (sqrt z))

series635.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* t t) 2.0)
293.0ms	(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
195.0ms	(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
104.0ms	(* (sqrt 2.0) (sqrt z))

simplify1.4s

Counts

106 → 106

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	192	1531
1	498	1417
2	1810	1209
done	5001	1172

prune485.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* z 2.0)))
0.1b	(sqrt (sqrt (* z 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
19×	`pow1`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`sqrt-pow1`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`pow-prod-down` `associate-*l/`
4×	`pow1/2` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

8.0ms	(sqrt (sqrt (* z 2.0)))
8.0ms	(sqrt (sqrt (* z 2.0)))
74.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
163.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series972.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(sqrt (sqrt (* z 2.0)))
330.0ms	(sqrt (sqrt (* z 2.0)))
234.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
160.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify2.6s

Counts

95 → 95

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	141	1369
1	368	1121
2	1141	992
3	3623	965
done	5000	961

prune399.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes757.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.1s	17896×	body	80	valid
2.0s	18231×	body	80	nan