Details

sample191.0ms

Algorithm

intervals

Results

74.0ms	579×	body	80	nan
50.0ms	584×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1375
6	508
5	273
4	176
3	91
2	40
1	25
0	15

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

104.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(/ (* t t) 2.0)
35.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series414.0ms

Counts

3 → 9

Calls

3 calls:

232.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
46.0ms	(/ (* t t) 2.0)
136.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1486
1	447
0	159

prune433.0ms

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	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))))
0.2b	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
0.3b	(/ (* t t) (sqrt 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
61×	`sqrt-prod`
56×	`add-sqr-sqrt`
54×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-cbrt-cube`
23×	`add-exp-log`
12×	`associate-/r*`
11×	`pow1` `associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp` `associate-r`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `flip--`
1×	`unswap-sqr` `associate-/l/`

Counts

4 → 161

Calls

4 calls:

197.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))))
19.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
9.0ms	(/ (* t t) (sqrt 2.0))
39.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series938.0ms

Counts

4 → 12

Calls

4 calls:

574.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))))
113.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
91.0ms	(/ (* t t) (sqrt 2.0))
159.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts

173 → 173

Iterations

Iter	Nodes
done	5001
2	2196
1	704
0	268

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
0.3b	(/ (* t t) (sqrt 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
67×	`sqrt-prod`
60×	`add-sqr-sqrt`
56×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r` `associate-r*`
11×	`pow1` `associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`associate-/l/`

Counts

4 → 167

Calls

4 calls:

16.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
9.0ms	(/ (* t t) (sqrt 2.0))
24.0ms	(* (- (* x 0.5) y) (sqrt z))
48.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series453.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
85.0ms	(/ (* t t) (sqrt 2.0))
82.0ms	(* (- (* x 0.5) y) (sqrt z))
163.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.5s

Counts

179 → 179

Iterations

Iter	Nodes
done	5001
2	2132
1	643
0	244

prune992.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod`
25×	`add-cbrt-cube` `add-exp-log`
24×	`associate-r`
21×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
6×	`associate-/r*` `times-frac`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 106

Calls

4 calls:

9.0ms	(/ (* t t) (sqrt 2.0))
221.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
24.0ms	(* (- (* x 0.5) y) (sqrt z))
51.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series628.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (* t t) (sqrt 2.0))
195.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
104.0ms	(* (- (* x 0.5) y) (sqrt z))
237.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify1.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	2021
1	557
0	199

prune800.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.3s	18099×	body	80	valid
1.8s	17998×	body	80	nan