Details

sample132.0ms

Algorithm

intervals

Results

43.0ms	605×	body	80	valid
32.0ms	563×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

10.0ms	(/ (* t t) 2.0)
6.0ms	(exp (/ (* t t) 2.0))
171.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
70.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* t t) 2.0)
24.0ms	(exp (/ (* t t) 2.0))
192.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
109.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

89 → 89

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	175	1210
1	479	1155
2	2656	998
done	5002	988

prune422.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

114.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
75.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series402.0ms

Counts

2 → 6

Calls

2 calls:

237.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
164.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts

53 → 53

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	145	1004
1	391	934
2	1836	826
done	5001	820

prune334.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`prod-exp`
19×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
8×	`associate-l`
7×	`sqrt-prod`
6×	`associate-r/` `associate-l/`
4×	`pow-prod-down`
3×	`pow-to-exp` `unpow-prod-down` `flip3--` `pow-exp` `*-commutative` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `unswap-sqr`
1×	`sqr-pow`

Counts

3 → 81

Calls

3 calls:

304.0ms	(* (* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
66.0ms	(* (sqrt z) (- (* x 0.5) y))
115.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0))

series836.0ms

Counts

3 → 9

Calls

3 calls:

381.0ms	(* (* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
138.0ms	(* (sqrt z) (- (* x 0.5) y))
317.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0))

simplify2.8s

Counts

90 → 90

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	199	1642
1	553	1526
2	3136	1331
done	5000	1315

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
19×	`add-cbrt-cube`
13×	`associate-l`
11×	`associate-r`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod` `cbrt-unprod`
8×	`unswap-sqr`
5×	`unpow-prod-down`
4×	`associate-*r/` `pow-prod-down`
3×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-*l/` `flip--`

Counts

3 → 85

Calls

3 calls:

28.0ms	(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
45.0ms	(* (sqrt z) (- (* x 0.5) y))
132.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

series509.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
107.0ms	(* (sqrt z) (- (* x 0.5) y))
290.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	181	1627
1	484	1528
2	2273	1335
done	5000	1317

prune394.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes698.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	19	17
done	19	17

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.6s	17995×	body	80	valid
1.7s	17867×	body	80	nan