Details

sample189.0ms

Algorithm

intervals

Results

58.0ms	615×	body	80	nan
47.0ms	597×	body	80	valid

simplify1.6s

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

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)
112.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms	(exp (/ (* t t) 2.0))
45.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* t t) 2.0)
216.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
27.0ms	(exp (/ (* t t) 2.0))
110.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts

89 → 89

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	175	1210
1	479	1155
2	2658	1000
done	5002	992

prune413.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(pow E (/ (* t t) 2.0))
16.0ms	(/ (* t t) 2.0)
108.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
70.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow E (/ (* t t) 2.0))
27.0ms	(/ (* t t) 2.0)
239.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
140.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.4s

Counts

104 → 104

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	197	1518
1	584	1399
2	3627	1221
done	5000	1213

prune478.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

374.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
5.0ms	(exp (/ (* t t) 2.0))
5.0ms	(exp (/ (* t t) 2.0))
40.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
26.0ms	(exp (/ (* t t) 2.0))
20.0ms	(exp (/ (* t t) 2.0))
112.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	169	1615
1	440	1318
2	2027	1147
done	5000	1108

prune455.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite431.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
29×	`prod-exp`
25×	`add-cbrt-cube`
19×	`associate-r`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
11×	`pow1` `cbrt-unprod`
7×	`sqrt-prod`
6×	`pow-exp`
5×	`associate-l`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `e-exp-1` `flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 101

Calls

4 calls:

20.0ms	(/ (* t t) 2.0)
271.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
53.0ms	(* (- (* x 0.5) y) (sqrt z))
81.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series518.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* t t) 2.0)
227.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
78.0ms	(* (- (* x 0.5) y) (sqrt z))
181.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.1s

Counts

113 → 113

Iterations

Useful iterations: 2 (699.0ms)

Iter	Nodes	Cost
0	206	1840
1	594	1680
2	4373	1470
done	5000	1470

prune490.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes678.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	22	26
done	22	26

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.6s	18090×	body	80	valid
2.0s	18166×	body	80	nan