Details

sample92.0ms

Algorithm

intervals

Results

28.0ms	603×	body	80	valid
26.0ms	612×	body	80	nan

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	40	17
3	78	17
4	135	17
5	235	17
6	550	17
7	1544	17
8	4795	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

3.0ms	(/ (* t t) 2.0)
1.0ms	(sqrt (* z 2.0))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (* t t) 2.0)
50.0ms	(sqrt (* z 2.0))
115.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.0s

Counts

62 → 62

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	147	649
1	365	607
2	1179	529
3	4464	515
done	5000	515

prune220.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
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--` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 68

Calls

3 calls:

3.0ms	(/ (* t t) 2.0)
13.0ms	(* (- (* x 0.5) y) (sqrt z))
22.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series228.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (* t t) 2.0)
58.0ms	(* (- (* x 0.5) y) (sqrt z))
138.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	143	906
1	350	839
2	1203	729
done	5000	721

prune233.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

12.0ms	(* (- (* x 0.5) y) (sqrt z))
22.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series200.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (- (* x 0.5) y) (sqrt z))
136.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.0s

Counts

53 → 53

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	103	720
1	256	660
2	876	580
3	3398	572
done	5000	568

prune157.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r`
22×	`sqrt-prod`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
3×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 79

Calls

3 calls:

12.0ms	(* (- (* x 0.5) y) (sqrt z))
24.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
82.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series358.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (- (* x 0.5) y) (sqrt z))
162.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
139.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	152	1479
1	405	1241
2	1468	1057
done	5001	1041

prune657.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes561.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	18
1	21	18
done	21	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

800.0ms	18077×	body	80	valid
766.0ms	17904×	body	80	nan