Details

sample100.0ms

Algorithm

intervals

Results

65.0ms

356×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
24	4881
23	4699
22	4472
21	4270
20	4070
19	3868
18	3646
17	3460
16	3233
15	3031
14	2826
13	2618
12	2415
11	2233
10	1991
9	1774
8	1492
7	1119
6	768
5	428
4	213
3	120
2	65
1	32
0	17

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(/ (* a b) 4.0)
0.4b	(/ (* z t) 16.0)

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
71×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
26×	`associate-l`
24×	`associate-r` `associate-/l*`
15×	`add-log-exp`
14×	`add-cbrt-cube` `add-exp-log`
8×	`*-commutative` `distribute-lft-out` `unswap-sqr`
6×	`associate-/r*`
5×	`sum-log`
4×	`pow1` `cbrt-undiv` `associate-+l+` `div-exp` `insert-posit16`
3×	`+-commutative` `distribute-lft-out--`
2×	`clear-num` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `associate-+l-`

Counts

4 → 169

Calls

4 calls:

70.0ms	(+ (* x y) (/ (* z t) 16.0))
2.0s	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
33.0ms	(/ (* a b) 4.0)
43.0ms	(/ (* z t) 16.0)

series314.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x y) (/ (* z t) 16.0))
193.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
33.0ms	(/ (* a b) 4.0)
37.0ms	(/ (* z t) 16.0)

simplify2.0s

Counts

181 → 181

Iterations

Iter	Nodes
done	5002
2	2529
1	754
0	311

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z (/ t 16.0)))
0.0b	(/ (* a b) 4.0)
0.0b	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
36×	`add-sqr-sqrt` `times-frac`
28×	`add-cube-cbrt`
20×	`associate-l`
14×	`distribute-lft-out` `add-log-exp`
12×	`associate-r` `associate-/l*`
8×	`add-cbrt-cube` `add-exp-log`
5×	`sum-log` `distribute-lft-out--`
4×	`associate-+l+` `*-commutative` `unswap-sqr`
3×	`pow1` `+-commutative` `associate-/r*` `insert-posit16`
2×	`cbrt-undiv` `flip3-+` `diff-log` `div-exp` `associate--l+` `flip-+`
1×	`clear-num` `sub-neg` `frac-2neg` `prod-exp` `associate-+l-` `cbrt-unprod` `div-inv`

Counts

3 → 107

Calls

3 calls:

65.0ms	(+ (* x y) (* z (/ t 16.0)))
30.0ms	(/ (* a b) 4.0)
2.2s	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)

series345.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* x y) (* z (/ t 16.0)))
22.0ms	(/ (* a b) 4.0)
257.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)

simplify1.6s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	1644
1	496
0	197

prune732.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ t (/ 16.0 z)))
0.0b	(/ (* a b) 4.0)
0.0b	(+ (- (+ (* x y) (/ t (/ 16.0 z))) (/ (* a b) 4.0)) c)
0.2b	(/ t (/ 16.0 z))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
90×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
19×	`associate-/r*`
18×	`associate-/l*`
15×	`add-log-exp`
14×	`add-cbrt-cube` `associate-l` `add-exp-log`
12×	`associate-r`
9×	`associate-/r/`
8×	`distribute-lft-out`
6×	`div-inv`
5×	`cbrt-undiv` `sum-log` `div-exp`
4×	`pow1` `associate-+l+` `*-commutative` `insert-posit16` `unswap-sqr`
3×	`+-commutative` `clear-num` `frac-2neg` `distribute-lft-out--`
2×	`flip3-+` `diff-log` `associate--l+` `flip-+`
1×	`sub-neg` `prod-exp` `associate-+l-` `cbrt-unprod`

Counts

4 → 182

Calls

4 calls:

74.0ms	(+ (* x y) (/ t (/ 16.0 z)))
20.0ms	(/ (* a b) 4.0)
2.2s	(+ (- (+ (* x y) (/ t (/ 16.0 z))) (/ (* a b) 4.0)) c)
9.0ms	(/ t (/ 16.0 z))

series293.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* x y) (/ t (/ 16.0 z)))
24.0ms	(/ (* a b) 4.0)
177.0ms	(+ (- (+ (* x y) (/ t (/ 16.0 z))) (/ (* a b) 4.0)) c)
26.0ms	(/ t (/ 16.0 z))

simplify1.9s

Counts

194 → 194

Iterations

Iter	Nodes
done	5004
2	2856
1	850
0	345

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
0.1b	(* (* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
0.1b	(* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
43.9b	(cbrt (* (* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))

rewrite2.0m

Algorithm

rewrite-expression-head

Rules

1128×	`*-un-lft-identity`
510×	`distribute-lft-out`
381×	`associate-l`
255×	`distribute-lft-out--`
155×	`swap-sqr`
94×	`cbrt-prod`
61×	`flip3-+` `flip-+`
60×	`frac-times`
47×	`add-sqr-sqrt`
45×	`associate-r`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
21×	`add-cube-cbrt`
20×	`associate-+l+`
18×	`associate-*r/`
15×	`unswap-sqr`
13×	`add-log-exp`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-cbrt-cube` `add-exp-log`
10×	`+-commutative` `associate--l+`
9×	`*-commutative`
7×	`pow-plus` `pow-prod-up`
5×	`sub-neg`
4×	`sum-log` `pow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`pow2` `pow-sqr`
2×	`diff-log` `rem-cbrt-cube`
1×	`pow1/3` `associate-+l-`

Counts

4 → 414

Calls

4 calls:

1.6s	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
45.4s	(* (* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
11.7s	(* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
1.0m	(cbrt (* (* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))

series6.2m

Counts

4 → 12

Calls

4 calls:

272.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
6.2m	(* (* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
3.9s	(* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
195.0ms	(cbrt (* (* (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))

simplify3.9s

Counts

426 → 426

Iterations

Iter	Nodes
done	5001
2	4110
1	998
0	294

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes726.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.9s

11891×

body

valid