Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

349×

body

valid

simplify533.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.0b	(/ (* y (- z t)) a)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

8.0ms	(- x (/ (* y (- z t)) a))
36.0ms	(* y (- z t))
18.0ms	(/ (* y (- z t)) a)

series158.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- x (/ (* y (- z t)) a))
43.0ms	(* y (- z t))
53.0ms	(/ (* y (- z t)) a)

simplify587.0ms

Counts: 72 → 72

prune209.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.0b	(/ y (/ a (- z t)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 155

Calls

3 calls:

45.0ms	(- x (/ y (/ a (- z t))))
18.0ms	(/ a (- z t))
32.0ms	(/ y (/ a (- z t)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- x (/ y (/ a (- z t))))
34.0ms	(/ a (- z t))
60.0ms	(/ y (/ a (- z t)))

simplify733.0ms

Counts: 164 → 164

prune530.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ y a) (/ 1 (- z t))))
0.0b	(/ 1 (- z t))
6.4b	(/ (/ y a) (/ 1 (- z t)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

709×	`times-frac`
410×	`add-sqr-sqrt`
389×	`*-un-lft-identity`
293×	`add-cube-cbrt`
53×	`difference-of-squares`
47×	`distribute-lft-out--`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`flip3--` `flip--` `associate-/l*`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 392

Calls

3 calls:

141.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
20.0ms	(/ 1 (- z t))
45.0ms	(/ (/ y a) (/ 1 (- z t)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
56.0ms	(/ 1 (- z t))
75.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify690.0ms

Counts: 401 → 401

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a))))
0.0b	(/ 1 (- z t))
0.7b	(/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a)))
6.2b	(/ (/ 1 (- z t)) (/ y a))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

16147×	`times-frac`
7303×	`add-sqr-sqrt`
7181×	`*-un-lft-identity`
5957×	`add-cube-cbrt`
808×	`div-inv`
628×	`difference-of-squares`
593×	`distribute-lft-out--`
410×	`associate-/r/`
296×	`associate-/r*`
245×	`add-exp-log`
229×	`div-exp`
198×	`flip3--` `flip--`
62×	`1-exp`
59×	`add-cbrt-cube`
40×	`cbrt-undiv`
37×	`associate-/l*`
35×	`rec-exp`
6×	`add-log-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `inv-pow`

Counts

4 → 4411

Calls

4 calls:

1.2s	(- x (/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a))))
13.0ms	(/ 1 (- z t))
159.0ms	(/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a)))
40.0ms	(/ (/ 1 (- z t)) (/ y a))

series318.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- x (/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a))))
59.0ms	(/ 1 (- z t))
75.0ms	(/ (/ 1 1) (/ (/ 1 (- z t)) (/ y a)))
115.0ms	(/ (/ 1 (- z t)) (/ y a))

simplify4.1s

Counts: 4423 → 4423

prune19.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes323.0ms

Accuracy

-139.5% (5.7b remaining)

Error of 5.7b against oracle of 0.0b and baseline of 2.4b

bsearch118.0ms

Steps

Iters	Range		Point
9	2.703036572074092e-22	1.7322736844160647e-14	1.0576402916802115e-15
7	-1.3310871796254972e+54	-5.813189238254871e+52	-7.251701340672362e+52

simplify841.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

612.0ms

10644×

body

valid