Details

sample88.0ms

Algorithm

intervals

Results

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

simplify2.7s

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	1728	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×	`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))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (* t t) 2.0)
58.0ms	(sqrt (* z 2.0))
119.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.3s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	153	693
1	383	651
2	1231	572
3	4825	560
done	5000	560

prune265.0ms

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))

rewrite42.0ms

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

series244.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (* t t) 2.0)
69.0ms	(* (- (* x 0.5) y) (sqrt z))
147.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	149	960
1	362	897
2	1238	781
done	5000	773

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* 1 (* (- (* x 0.5) y) (sqrt z))) (sqrt 2.0))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

4.0ms	(/ (* t t) 2.0)
13.0ms	(* (- (* x 0.5) y) (sqrt z))
56.0ms	(* (* 1 (* (- (* x 0.5) y) (sqrt z))) (sqrt 2.0))

series245.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (* t t) 2.0)
69.0ms	(* (- (* x 0.5) y) (sqrt z))
148.0ms	(* (* 1 (* (- (* x 0.5) y) (sqrt z))) (sqrt 2.0))

simplify1.0s

Counts

88 → 88

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	168	1128
1	429	979
2	1345	851
done	5000	843

prune284.0ms

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `add-cbrt-cube`
22×	`sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
18×	`prod-diff`
16×	`associate-l`
13×	`associate-r`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-*r/` `pow-prod-down`
6×	`sub-neg`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 138

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
14.0ms	(* (sqrt z) (- (* x 0.5) y))
27.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt z) (- (* x 0.5) y)))
71.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt z) (- (* x 0.5) y))) (sqrt (sqrt 2.0)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* t t) 2.0)
87.0ms	(* (sqrt z) (- (* x 0.5) y))
328.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt z) (- (* x 0.5) y)))
218.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt z) (- (* x 0.5) y))) (sqrt (sqrt 2.0)))

simplify1.2s

Counts

150 → 150

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	294	2609
1	733	2308
2	2581	1933
done	5000	1906

prune444.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes520.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	18	20
1	25	18
done	25	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

778.0ms	18077×	body	80	valid
761.0ms	17904×	body	80	nan