Details

sample1.1s

Algorithm

intervals

Results

663.0ms	678×	body	80	nan
152.0ms	622×	body	80	valid

simplify9.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1642
6	602
5	330
4	198
3	95
2	42
1	26
0	15

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

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)))

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube`
13×	`add-exp-log`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`associate-*l/`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--`
1×	`frac-2neg` `clear-num` `sqrt-prod` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

239.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
35.0ms	(/ (* t t) 2.0)
91.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series656.0ms

Counts

3 → 9

Calls

3 calls:

363.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
85.0ms	(/ (* t t) 2.0)
207.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1574
1	459
0	166

prune853.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

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

rewrite570.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

359.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
21.0ms	(/ (* t t) 2.0)
63.0ms	(* (- (* x 0.5) y) (sqrt z))
118.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series769.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
56.0ms	(/ (* t t) 2.0)
118.0ms	(* (- (* x 0.5) y) (sqrt z))
235.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	2015
1	524
0	190

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
11×	`pow1`
7×	`sqrt-prod`
6×	`times-frac` `associate-l/` `prod-exp` `associate-/r` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

22.0ms	(/ (* t t) 2.0)
26.0ms	(/ (* t t) 2.0)
60.0ms	(* (- (* x 0.5) y) (sqrt z))
130.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series508.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (* t t) 2.0)
60.0ms	(/ (* t t) 2.0)
146.0ms	(* (- (* x 0.5) y) (sqrt z))
245.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	1544
1	395
0	149

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* z 2.0)))
0.1b	(sqrt (sqrt (* z 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.4b	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
19×	`pow1`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`sqrt-pow1`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `pow1/2` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

9.0ms	(sqrt (sqrt (* z 2.0)))
9.0ms	(sqrt (sqrt (* z 2.0)))
103.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
209.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

354.0ms	(sqrt (sqrt (* z 2.0)))
352.0ms	(sqrt (sqrt (* z 2.0)))
297.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
207.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify12.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4717
2	1360
1	390
0	147

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes3.4s

Accuracy

0% (0.3b remaining)

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

bsearch8.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end3.0ms

sample14.6s

Algorithm

intervals

Results

7.3s	17937×	body	80	valid
5.0s	17771×	body	80	nan