Details

sample143.0ms

Algorithm

intervals

Results

47.0ms	615×	body	80	nan
36.0ms	597×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	43	17
3	92	17
4	204	17
5	371	17
6	755	17
7	2305	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

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)))

rewrite243.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
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 → 85

Calls

4 calls:

16.0ms	(/ (* t t) 2.0)
161.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
7.0ms	(exp (/ (* t t) 2.0))
57.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* t t) 2.0)
236.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
23.0ms	(exp (/ (* t t) 2.0))
120.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

97 → 97

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	183	1294
1	495	1237
2	2577	1072
done	5000	1061

prune436.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

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)))

rewrite200.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 100

Calls

4 calls:

5.0ms	(pow E (/ (* t t) 2.0))
19.0ms	(/ (* t t) 2.0)
114.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
60.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow E (/ (* t t) 2.0))
47.0ms	(/ (* t t) 2.0)
276.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
140.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.8s

Counts

112 → 112

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	205	1606
1	599	1485
2	3561	1297
done	5000	1284

prune613.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite653.0ms

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×	`expm1-log1p-u` `associate-l` `sqrt-prod` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--` `div-inv` `rem-exp-log`
1×	`unswap-sqr`

Counts

4 → 85

Calls

4 calls:

572.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
9.0ms	(exp (/ (* t t) 2.0))
5.0ms	(exp (/ (* t t) 2.0))
64.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
24.0ms	(exp (/ (* t t) 2.0))
27.0ms	(exp (/ (* t t) 2.0))
141.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

97 → 97

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	175	1719
1	455	1400
2	1989	1221
done	5001	1180

prune556.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite499.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

333.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
10.0ms	(exp (/ (* t t) 2.0))
66.0ms	(* (- (* x 0.5) y) (sqrt z))
84.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series616.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
45.0ms	(exp (/ (* t t) 2.0))
82.0ms	(* (- (* x 0.5) y) (sqrt z))
198.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.7s

Counts

105 → 105

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	178	1629
1	453	1531
2	2236	1329
done	5001	1299

prune410.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes766.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.7s	18166×	body	80	nan
1.9s	18090×	body	80	valid