Details

sample137.0ms

Algorithm

intervals

Results

53.0ms	572×	body	80	nan
33.0ms	582×	body	80	valid

simplify69.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

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:

11.0ms	(/ (* t t) 2.0)
5.0ms	(exp (/ (* t t) 2.0))
99.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
50.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
26.0ms	(exp (/ (* t t) 2.0))
178.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
114.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify47.0ms

Counts: 89 → 89

prune284.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

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:

6.0ms	(pow (exp t) (/ t 2.0))
91.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
45.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series384.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(pow (exp t) (/ t 2.0))
214.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
119.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify54.0ms

Counts: 86 → 86

prune306.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
185.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
33.0ms	(* (- (* x 0.5) y) (sqrt z))
62.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series445.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (* t t) 2.0))
214.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
69.0ms	(* (- (* x 0.5) y) (sqrt z))
141.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify62.0ms

Counts: 97 → 97

prune580.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
135.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
51.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
19.0ms	(* (sqrt z) (sqrt 2.0))

series436.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (* t t) 2.0))
207.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
137.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
70.0ms	(* (sqrt z) (sqrt 2.0))

simplify63.0ms

Counts: 100 → 100

prune281.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes704.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.9s	18683×	body	80	nan
1.4s	18294×	body	80	valid