Details

sample174.0ms

Algorithm

intervals

Results

63.0ms	562×	body	80	valid
41.0ms	574×	body	80	nan

simplify1.9s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x (/ 1.0 2.0)) y) (sqrt (* z 2.0)))

rewrite200.0ms

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×	`times-frac` `associate-/r*` `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 → 62

Calls

3 calls:

15.0ms	(/ (* t t) 2.0)
121.0ms	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
61.0ms	(* (- (* x (/ 1.0 2.0)) y) (sqrt (* z 2.0)))

series392.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (* t t) 2.0)
210.0ms	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
146.0ms	(* (- (* x (/ 1.0 2.0)) y) (sqrt (* z 2.0)))

simplify619.0ms

Counts: 71 → 71

prune234.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (* (- (* x (/ 1.0 2.0)) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x (/ 1.0 2.0)) y) (sqrt z))
0.5b	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt z)) (sqrt 2.0))

rewrite367.0ms

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×	`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 → 91

Calls

4 calls:

10.0ms	(/ (* t t) 2.0)
239.0ms	(* (* (* (- (* x (/ 1.0 2.0)) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
52.0ms	(* (- (* x (/ 1.0 2.0)) y) (sqrt z))
64.0ms	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt z)) (sqrt 2.0))

series469.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (* t t) 2.0)
236.0ms	(* (* (* (- (* x (/ 1.0 2.0)) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
65.0ms	(* (- (* x (/ 1.0 2.0)) y) (sqrt z))
135.0ms	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt z)) (sqrt 2.0))

simplify1.1s

Counts: 103 → 103

prune368.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x (/ 1.0 2.0)) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x (/ 1.0 2.0)) y) (* (sqrt z) (sqrt 2.0)))
0.4b	(* (sqrt z) (sqrt 2.0))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

10.0ms	(/ (* t t) 2.0)
153.0ms	(* (* (- (* x (/ 1.0 2.0)) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
73.0ms	(* (- (* x (/ 1.0 2.0)) y) (* (sqrt z) (sqrt 2.0)))
12.0ms	(* (sqrt z) (sqrt 2.0))

series501.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* t t) 2.0)
227.0ms	(* (* (- (* x (/ 1.0 2.0)) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
167.0ms	(* (- (* x (/ 1.0 2.0)) y) (* (sqrt z) (sqrt 2.0)))
81.0ms	(* (sqrt z) (sqrt 2.0))

simplify964.0ms

Counts: 106 → 106

prune444.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize25.0ms

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 (/ 1.0 2.0)) y) (sqrt (sqrt (* z 2.0))))
0.3b	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite262.0ms

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×	`pow1/2` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(sqrt (sqrt (* z 2.0)))
7.0ms	(sqrt (sqrt (* z 2.0)))
73.0ms	(* (- (* x (/ 1.0 2.0)) y) (sqrt (sqrt (* z 2.0))))
172.0ms	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series774.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(sqrt (sqrt (* z 2.0)))
225.0ms	(sqrt (sqrt (* z 2.0)))
224.0ms	(* (- (* x (/ 1.0 2.0)) y) (sqrt (sqrt (* z 2.0))))
134.0ms	(* (* (- (* x (/ 1.0 2.0)) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify721.0ms

Counts: 95 → 95

prune322.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes489.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0s

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.4s	17896×	body	80	valid
1.6s	18231×	body	80	nan