Details

sample93.0ms

Algorithm

intervals

Results

29.0ms	612×	body	80	nan
26.0ms	603×	body	80	valid

simplify2.6s

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: 0.5b

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)))

rewrite23.0ms

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×	`expm1-log1p-u` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 59

Calls

3 calls:

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

series207.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (* t t) 2.0)
54.0ms	(sqrt (* z 2.0))
122.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.2s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	153	693
1	383	651
2	1229	572
3	4748	560
done	5000	560

prune522.0ms

Pruning

11 alts after pruning (10 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×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 74

Calls

3 calls:

4.0ms	(/ (* t t) 2.0)
13.0ms	(* (- (* x 0.5) y) (sqrt z))
21.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series254.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (* t t) 2.0)
70.0ms	(* (- (* x 0.5) y) (sqrt z))
154.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	149	960
1	362	893
2	1235	781
done	5000	773

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
67×	`sqrt-prod`
60×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r` `associate-/r*`
11×	`pow1` `associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `unswap-sqr`
1×	`associate-/l/`

Counts

4 → 175

Calls

4 calls:

5.0ms	(/ (* t t) (sqrt 2.0))
13.0ms	(* (- (* x 0.5) y) (sqrt z))
12.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
22.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series391.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (* t t) (sqrt 2.0))
64.0ms	(* (- (* x 0.5) y) (sqrt z))
110.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
147.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.2s

Counts

187 → 187

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	252	2663
1	621	2305
2	1834	2076
done	5001	2072

prune550.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
76×	`sqrt-prod`
60×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
29×	`add-exp-log` `add-cbrt-cube`
24×	`associate-r`
20×	`pow1`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down` `associate-/l*`
8×	`div-inv`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 180

Calls

4 calls:

12.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
25.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
81.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- (* x 0.5) y) (sqrt z))
102.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
162.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
144.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify1.0s

Counts

192 → 192

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	297	3170
1	763	2608
2	2483	2329
done	5001	2323

prune559.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes548.0ms

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	22
1	21	22
done	21	22

end0.0ms

sample2.5s

Algorithm

intervals

Results

817.0ms	18077×	body	80	valid
777.0ms	17904×	body	80	nan