Details

sample208.0ms

Algorithm

intervals

Results

72.0ms	570×	body	80	nan
51.0ms	595×	body	80	valid

simplify1.2s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

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

rewrite240.0ms

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:

17.0ms	(/ (* t t) 2.0)
147.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(exp (/ (* t t) 2.0))
65.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
238.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
29.0ms	(exp (/ (* t t) 2.0))
145.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify724.0ms

Counts: 89 → 89

prune407.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
14×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r`
7×	`pow1` `pow-unpow`
6×	`unpow-prod-down` `times-frac` `associate-*l/` `pow-exp`
5×	`cbrt-unprod`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `e-exp-1` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv` `sqr-pow`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `sqrt-prod` `associate-/l*` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

10.0ms	(/ (* t t) 2.0)
95.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
4.0ms	(pow E (/ (* t t) 2.0))
65.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* t t) 2.0)
244.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
29.0ms	(pow E (/ (* t t) 2.0))
111.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify942.0ms

Counts: 104 → 104

prune344.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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

rewrite150.0ms

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:

96.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
6.0ms	(pow (exp t) (/ t 2.0))
45.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series371.0ms

Counts

3 → 9

Calls

3 calls:

203.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
55.0ms	(pow (exp t) (/ t 2.0))
113.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify804.0ms

Counts: 86 → 86

prune372.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

246.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
9.0ms	(pow (exp t) (/ t 2.0))
47.0ms	(* (- (* x 0.5) y) (sqrt z))
87.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series645.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
73.0ms	(pow (exp t) (/ t 2.0))
83.0ms	(* (- (* x 0.5) y) (sqrt z))
188.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify977.0ms

Counts: 119 → 119

prune496.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes442.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.0s	18004×	body	80	nan
1.9s	17963×	body	80	valid