Details

sample89.0ms

Algorithm

intervals

Results

28.0ms	603×	body	80	valid
25.0ms	612×	body	80	nan

simplify3.9s

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)))

rewrite21.0ms

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)
2.0ms	(sqrt (* z 2.0))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (* t t) 2.0)
53.0ms	(sqrt (* z 2.0))
106.0ms	(* (- (* 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

prune208.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite38.0ms

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)
12.0ms	(* (- (* x 0.5) y) (sqrt z))
21.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series218.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (* t t) 2.0)
61.0ms	(* (- (* x 0.5) y) (sqrt z))
132.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.0s

Counts

77 → 77

Iterations

Useful iterations: done (1.0s)

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

prune218.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (pow t 2))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`associate-r`
15×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
7×	`associate-l` `prod-exp` `sqrt-prod`
6×	`associate-*l/` `unswap-sqr`
5×	`cbrt-unprod`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 74

Calls

3 calls:

6.0ms	(* 0.5 (pow t 2))
12.0ms	(* (- (* x 0.5) y) (sqrt z))
21.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series226.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* 0.5 (pow t 2))
63.0ms	(* (- (* x 0.5) y) (sqrt z))
139.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.2s

Counts

83 → 83

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	152	952
1	358	869
2	1133	756
3	4035	748
done	5000	744

prune239.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
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)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
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 → 100

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
12.0ms	(* (- (* x 0.5) y) (sqrt z))
23.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
78.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* t t) 2.0)
58.0ms	(* (- (* x 0.5) y) (sqrt z))
164.0ms	(* (* (- (* 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)))

simplify1.1s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	191	1665
1	497	1420
2	1801	1206
done	5000	1200

prune325.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes559.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	22	18
done	22	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

790.0ms	18077×	body	80	valid
768.0ms	17904×	body	80	nan