Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

346×

body

valid

simplify976.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
6.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

30.0ms	(* (* z 9.0) t)
29.0ms	(- (* x y) (* (* z 9.0) t))
40.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series197.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* z 9.0) t)
67.0ms	(- (* x y) (* (* z 9.0) t))
111.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify658.0ms

Counts: 63 → 63

prune214.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
0.2b	(* (* z 9.0) t)
4.2b	(/ (* (* z 9.0) t) (* a 2.0))
4.3b	(/ (* x y) (* a 2.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`div-inv`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

35.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
25.0ms	(* (* z 9.0) t)
26.0ms	(/ (* (* z 9.0) t) (* a 2.0))
16.0ms	(/ (* x y) (* a 2.0))

series266.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
31.0ms	(* (* z 9.0) t)
37.0ms	(/ (* (* z 9.0) t) (* a 2.0))
36.0ms	(/ (* x y) (* a 2.0))

simplify1.2s

Counts: 93 → 93

prune279.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
4.2b	(/ (* t z) a)
4.3b	(/ (* x y) (* a 2.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp`
7×	`times-frac` `associate-r`
6×	`pow1` `add-log-exp`
4×	`associate-/r*`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

36.0ms	(- (/ (* x y) (* a 2.0)) (* 4.5 (/ (* t z) a)))
38.0ms	(* 4.5 (/ (* t z) a))
11.0ms	(/ (* t z) a)
14.0ms	(/ (* x y) (* a 2.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (/ (* x y) (* a 2.0)) (* 4.5 (/ (* t z) a)))
31.0ms	(* 4.5 (/ (* t z) a))
22.0ms	(/ (* t z) a)
36.0ms	(/ (* x y) (* a 2.0))

simplify926.0ms

Counts: 94 → 94

prune319.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(/ (* 4.5 t) (* (cbrt a) (cbrt a)))
4.3b	(/ (* x y) (* a 2.0))
4.4b	(* (/ (* 4.5 t) (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
52×	`add-cbrt-cube`
27×	`add-sqr-sqrt`
26×	`prod-exp` `cbrt-unprod`
23×	`times-frac`
22×	`associate-r`
21×	`cbrt-undiv` `div-exp`
19×	`add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-prod`
6×	`pow1`
5×	`associate-l`
4×	`div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 115

Calls

4 calls:

2.0ms	(cbrt a)
31.0ms	(/ (* 4.5 t) (* (cbrt a) (cbrt a)))
27.0ms	(/ (* x y) (* a 2.0))
69.0ms	(* (/ (* 4.5 t) (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

series618.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt a)
189.0ms	(/ (* 4.5 t) (* (cbrt a) (cbrt a)))
50.0ms	(/ (* x y) (* a 2.0))
116.0ms	(* (/ (* 4.5 t) (* (cbrt a) (cbrt a))) (/ z (cbrt a)))

simplify1.9s

Counts: 127 → 127

prune442.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

regimes844.0ms

Accuracy

88.4% (0.9b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 7.7b

bsearch2.0ms

simplify919.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

757.0ms

11166×

body

valid