Details

sample180.0ms

Algorithm

intervals

Results

56.0ms	559×	body	80	nan
47.0ms	582×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	41	17
3	88	17
4	182	17
5	328	17
6	691	17
7	2121	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (/ (* 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)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

8.0ms	(exp (/ (* t t) 2.0))
108.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
46.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series370.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(exp (/ (* t t) 2.0))
194.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
156.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify874.0ms

Counts

65 → 65

Iterations

Useful iterations: done (871.0ms)

Iter	Nodes	Cost
0	148	1024
1	377	976
2	1572	843
done	5002	839

prune263.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`add-exp-log`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r` `add-cbrt-cube`
10×	`prod-exp`
9×	`times-frac`
7×	`pow1` `add-log-exp`
6×	`unpow-prod-down` `associate-*l/`
4×	`associate-l` `cbrt-unprod`
3×	`pow-to-exp` `pow-pow` `pow-exp`
2×	`exp-prod` `flip3--` `exp-to-pow` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

8.0ms	(pow (exp (* t t)) (/ 1 2.0))
4.0ms	(exp (* t t))
105.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
50.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(pow (exp (* t t)) (/ 1 2.0))
13.0ms	(exp (* t t))
285.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
144.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	194	1497
1	548	1370
2	2693	1212
done	5001	1204

prune473.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
23×	`add-sqr-sqrt` `unpow-prod-down`
21×	`add-cube-cbrt` `*-un-lft-identity`
16×	`pow-unpow` `prod-exp`
15×	`associate-r`
13×	`pow-exp`
11×	`add-cbrt-cube`
9×	`times-frac`
7×	`pow1` `pow-to-exp`
6×	`associate-*l/`
5×	`pow-pow` `sqr-pow`
4×	`associate-l` `cbrt-unprod` `add-log-exp`
3×	`exp-prod`
2×	`flip3--` `*-commutative` `flip--`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

7.0ms	(pow (exp t) t)
15.0ms	(pow (pow (exp t) t) (/ 1 2.0))
144.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (pow (exp t) t) (/ 1 2.0)))
69.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(pow (exp t) t)
190.0ms	(pow (pow (exp t) t) (/ 1 2.0))
335.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (pow (exp t) t) (/ 1 2.0)))
149.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.1s

Counts

120 → 120

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	225	1829
1	644	1666
2	3131	1500
done	5000	1496

prune552.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) t)
0.0b	(* (* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y))) (pow (pow (exp t) t) (/ (/ 1 2.0) 2)))
0.0b	(* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y)))
0.2b	(* (sqrt (* z 2.0)) (- (* x 0.5) y))

rewrite595.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log`
146×	`prod-exp`
93×	`pow-exp`
47×	`pow-to-exp`
23×	`unpow-prod-down`
20×	`add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`associate-l`
15×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `cbrt-unprod`
7×	`pow1`
6×	`sub-neg`
5×	`sqr-pow`
4×	`pow-pow` `add-log-exp`
3×	`pow-unpow` `exp-prod` `flip3--` `*-commutative` `flip--`
2×	`associate-*l/`
1×	`pow-prod-down` `sqrt-prod` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

7.0ms	(pow (exp t) t)
373.0ms	(* (* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y))) (pow (pow (exp t) t) (/ (/ 1 2.0) 2)))
128.0ms	(* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y)))
74.0ms	(* (sqrt (* z 2.0)) (- (* x 0.5) y))

series932.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (exp t) t)
373.0ms	(* (* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y))) (pow (pow (exp t) t) (/ (/ 1 2.0) 2)))
319.0ms	(* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y)))
203.0ms	(* (sqrt (* z 2.0)) (- (* x 0.5) y))

simplify2.5s

Counts

179 → 179

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	316	4636
1	934	4266
2	4088	3306
done	5002	3278

prune588.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	36
1	36	36
2	40	36
3	41	36
done	41	36

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.4s	18159×	body	80	nan
1.7s	17980×	body	80	valid