Details

sample153.0ms

Algorithm

intervals

Results

45.0ms	582×	body	80	valid
40.0ms	572×	body	80	nan

simplify2.8s

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	161	17
5	265	17
6	587	17
7	1717	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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)))

rewrite163.0ms

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)
5.0ms	(exp (/ (* t t) 2.0))
101.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
45.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* t t) 2.0)
20.0ms	(exp (/ (* t t) 2.0))
186.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
109.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	175	1210
1	435	1141
2	1407	988
done	5000	964

prune330.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
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)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

6.0ms	(pow (exp t) (/ t 2.0))
95.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
45.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series516.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(pow (exp t) (/ t 2.0))
287.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
166.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

86 → 86

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	186	1303
1	482	1202
2	1546	1087
done	5001	1063

prune320.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite360.0ms

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`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

6.0ms	(exp (/ (* t t) 2.0))
231.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
46.0ms	(* (- (* x 0.5) y) (sqrt z))
72.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series434.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(exp (/ (* t t) 2.0))
206.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
62.0ms	(* (- (* x 0.5) y) (sqrt z))
141.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.0s

Counts

97 → 97

Iterations

Useful iterations: done (998.0ms)

Iter	Nodes	Cost
0	170	1535
1	420	1423
2	1469	1220
done	5000	1190

prune327.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(exp (/ (* t t) 2.0))
205.0ms	(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
95.0ms	(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
13.0ms	(* (sqrt 2.0) (sqrt z))

series620.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(exp (/ (* t t) 2.0))
320.0ms	(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
194.0ms	(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
86.0ms	(* (sqrt 2.0) (sqrt z))

simplify1.1s

Counts

100 → 100

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	180	1484
1	453	1370
2	1612	1182
done	5001	1145

prune439.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes940.0ms

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	15	17
1	19	17
done	19	17

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.2s	18683×	body	80	nan
2.1s	18294×	body	80	valid