Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

344×

body

valid

simplify491.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.9b	(/ (* y (- z t)) a)

rewrite90.0ms

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:

13.0ms	(- x (/ (* y (- z t)) a))
47.0ms	(* y (- z t))
27.0ms	(/ (* y (- z t)) a)

series185.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- x (/ (* y (- z t)) a))
49.0ms	(* y (- z t))
79.0ms	(/ (* y (- z t)) a)

simplify576.0ms

Counts: 72 → 72

prune153.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.1b	(/ y (/ a (- z t)))

rewrite86.0ms

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:

43.0ms	(- x (/ y (/ a (- z t))))
12.0ms	(/ a (- z t))
23.0ms	(/ y (/ a (- z t)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- x (/ y (/ a (- z t))))
38.0ms	(/ a (- z t))
59.0ms	(/ y (/ a (- z t)))

simplify888.0ms

Counts: 164 → 164

prune528.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ y a) (/ 1 (- z t))))
0.0b	(/ 1 (- z t))
7.3b	(/ (/ y a) (/ 1 (- z t)))

rewrite254.0ms

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:

146.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
19.0ms	(/ 1 (- z t))
39.0ms	(/ (/ y a) (/ 1 (- z t)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
53.0ms	(/ 1 (- z t))
77.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify826.0ms

Counts: 401 → 401

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ y 1) (/ (/ 1 a) (/ (sqrt 1) (- z t)))))
0.0b	(/ (sqrt 1) (- z t))
0.3b	(/ (/ 1 a) (/ (sqrt 1) (- z t)))
5.2b	(* (/ y 1) (/ (/ 1 a) (/ (sqrt 1) (- z t))))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

2555×	`times-frac`
1496×	`add-sqr-sqrt`
1373×	`*-un-lft-identity`
1001×	`add-cube-cbrt`
473×	`associate-r`
441×	`sqrt-prod`
169×	`distribute-lft-out--` `difference-of-squares`
133×	`add-exp-log`
104×	`div-inv`
83×	`div-exp`
59×	`add-cbrt-cube`
58×	`associate-/r/`
41×	`associate-/r*`
39×	`unswap-sqr`
30×	`cbrt-undiv`
29×	`flip3--` `flip--`
27×	`prod-exp`
19×	`associate-/l*`
17×	`1-exp`
13×	`associate-l`
10×	`cbrt-unprod`
8×	`rec-exp`
6×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 1182

Calls

4 calls:

8.0ms	(- x (* (/ y 1) (/ (/ 1 a) (/ (sqrt 1) (- z t)))))
14.0ms	(/ (sqrt 1) (- z t))
36.0ms	(/ (/ 1 a) (/ (sqrt 1) (- z t)))
299.0ms	(* (/ y 1) (/ (/ 1 a) (/ (sqrt 1) (- z t))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- x (* (/ y 1) (/ (/ 1 a) (/ (sqrt 1) (- z t)))))
38.0ms	(/ (sqrt 1) (- z t))
40.0ms	(/ (/ 1 a) (/ (sqrt 1) (- z t)))
61.0ms	(* (/ y 1) (/ (/ 1 a) (/ (sqrt 1) (- z t))))

simplify1.6s

Counts: 1194 → 1194

prune4.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes475.0ms

Accuracy

41.8% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 5.5b

bsearch86.0ms

Steps

Iters	Range		Point
9	215074437.79861602	2226783678928001.8	27501089785367.633
8	-4.369005829433376e+38	-8.492747569618072e+34	-1.0283358570150577e+35

simplify717.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

539.0ms

10710×

body

valid