Details

sample179.0ms

Algorithm

intervals

Results

43.0ms	565×	body	80	valid
36.0ms	485×	body	80	nan

simplify1.1s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite187.0ms

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:

14.0ms	(/ (* t t) 2.0)
104.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
12.0ms	(exp (/ (* t t) 2.0))
55.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
179.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
131.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify717.0ms

Counts: 89 → 89

prune373.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.0b	(pow (exp t) (/ t 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite153.0ms

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:

98.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
6.0ms	(pow (exp t) (/ t 2.0))
46.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series427.0ms

Counts

3 → 9

Calls

3 calls:

228.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
52.0ms	(pow (exp t) (/ t 2.0))
146.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify873.0ms

Counts: 86 → 86

prune438.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp t))
0.0b	(sqrt (exp t))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
49×	`prod-exp`
18×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
13×	`pow1`
12×	`pow-to-exp` `pow-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-unprod`
8×	`sqrt-pow1`
7×	`sqrt-prod`
6×	`exp-prod` `associate-*l/`
5×	`associate-r`
4×	`associate-l` `pow-prod-down` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `pow1/2` `*-commutative` `flip--`
1×	`unswap-sqr`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (exp t))
4.0ms	(sqrt (exp t))
186.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
74.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (exp t))
17.0ms	(sqrt (exp t))
340.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
145.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify836.0ms

Counts: 103 → 103

prune552.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-exp-log`
91×	`prod-exp`
32×	`add-cbrt-cube`
21×	`pow1`
19×	`cbrt-unprod`
18×	`pow-to-exp` `pow-exp`
16×	`add-sqr-sqrt`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `sqrt-prod`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `pow1/2`

Counts

4 → 114

Calls

4 calls:

3.0ms	(sqrt (exp t))
304.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
52.0ms	(* (- (* x 0.5) y) (sqrt z))
107.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series600.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (exp t))
351.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
69.0ms	(* (- (* x 0.5) y) (sqrt z))
160.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.2s

Counts: 126 → 126

prune406.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes745.0ms

Accuracy

2.5% (0.2b remaining)

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

bsearch0.0ms

simplify730.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.1s	17537×	body	80	valid
1.9s	17195×	body	80	nan