Details

sample110.0ms

Algorithm

intervals

Results

40.0ms	584×	body	80	valid
30.0ms	579×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1585
6	613
5	332
4	198
3	95
2	42
1	26
0	15

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

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)))

rewrite197.0ms

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×	`expm1-log1p-u` `associate-/r*` `times-frac` `log1p-expm1-u` `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 → 68

Calls

3 calls:

132.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
13.0ms	(/ (* t t) 2.0)
50.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series431.0ms

Counts

3 → 9

Calls

3 calls:

234.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
36.0ms	(/ (* t t) 2.0)
161.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1592
1	459
0	165

prune488.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

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)))

rewrite297.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `flip--`
1×	`unswap-sqr` `associate-/l/`

Counts

4 → 169

Calls

4 calls:

217.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))))
24.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
19.0ms	(/ (* t t) (sqrt 2.0))
30.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series945.0ms

Counts

4 → 12

Calls

4 calls:

607.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))))
122.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
88.0ms	(/ (* t t) (sqrt 2.0))
129.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.1s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
2	2187
1	727
0	276

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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))

rewrite178.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`associate-/l/`

Counts

4 → 175

Calls

4 calls:

15.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
17.0ms	(/ (* t t) (sqrt 2.0))
47.0ms	(* (- (* x 0.5) y) (sqrt z))
90.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series521.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (/ (* t t) (sqrt 2.0)) (sqrt 2.0))
92.0ms	(/ (* t t) (sqrt 2.0))
95.0ms	(* (- (* x 0.5) y) (sqrt z))
212.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.5s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
2	2054
1	653
0	252

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize33.0ms

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)))

rewrite239.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 114

Calls

4 calls:

13.0ms	(/ (* t t) (sqrt 2.0))
143.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
24.0ms	(* (- (* x 0.5) y) (sqrt z))
52.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (* t t) (sqrt 2.0))
187.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
105.0ms	(* (- (* x 0.5) y) (sqrt z))
183.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify1.6s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	2093
1	568
0	207

prune709.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes958.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.1s	18099×	body	80	valid
2.0s	17998×	body	80	nan