Details

sample119.0ms

Algorithm

intervals

Results

34.0ms	563×	body	80	valid
30.0ms	553×	body	80	nan

simplify1.0s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize40.0ms

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)))

rewrite166.0ms

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:

10.0ms	(/ (* t t) 2.0)
108.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms	(exp (/ (* t t) 2.0))
40.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* t t) 2.0)
180.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
25.0ms	(exp (/ (* t t) 2.0))
114.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify592.0ms

Counts: 89 → 89

prune349.0ms

Pruning

8 alts after pruning (8 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)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite177.0ms

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))
118.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
49.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series472.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(pow (exp t) (/ t 2.0))
248.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
155.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify690.0ms

Counts: 86 → 86

prune409.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite804.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
26×	`pow-unpow`
18×	`times-frac`
17×	`pow1`
15×	`add-exp-log` `add-cbrt-cube`
14×	`associate-r`
9×	`unpow-prod-down`
8×	`pow-pow` `associate-*l/` `sqrt-prod`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`exp-prod`
4×	`associate-l` `add-log-exp`
3×	`sqr-pow`
2×	`pow-to-exp` `flip3--` `pow-exp` `*-commutative` `flip--` `div-inv`
1×	`unswap-sqr`

Counts

4 → 111

Calls

4 calls:

6.0ms	(pow (exp t) (/ t 2.0))
6.0ms	(pow (exp t) (/ t 2.0))
724.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
64.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(pow (exp t) (/ t 2.0))
58.0ms	(pow (exp t) (/ t 2.0))
247.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
125.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify892.0ms

Counts: 123 → 123

prune557.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite825.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
25×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
22×	`associate-r`
21×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow-prod-down` `associate-*l/` `prod-exp` `sqrt-prod` `cbrt-unprod`
13×	`pow-unpow`
9×	`times-frac`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`pow-pow` `add-log-exp`
3×	`exp-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `div-inv`

Counts

4 → 110

Calls

4 calls:

9.0ms	(pow (exp t) (/ t 2.0))
689.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
45.0ms	(* (- (* x 0.5) y) (sqrt z))
75.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series588.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(pow (exp t) (/ t 2.0))
302.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
70.0ms	(* (- (* x 0.5) y) (sqrt z))
152.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.3s

Counts: 122 → 122

prune525.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes743.0ms

Accuracy

2.7% (0.3b remaining)

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

bsearch0.0ms

simplify885.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.3s	17717×	body	80	nan
1.5s	17969×	body	80	valid