Details

sample33.0ms

Algorithm

intervals

Results

12.0ms

333×

body

valid

simplify33.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
8.1b	(/ (* y (- z t)) a)

rewrite61.0ms

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:

9.0ms	(- x (/ (* y (- z t)) a))
30.0ms	(* y (- z t))
19.0ms	(/ (* y (- z t)) a)

series160.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- x (/ (* y (- z t)) a))
41.0ms	(* y (- z t))
53.0ms	(/ (* y (- z t)) a)

simplify29.0ms

Counts: 72 → 72

prune214.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

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:

52.0ms	(- x (/ y (/ a (- z t))))
16.0ms	(/ a (- z t))
33.0ms	(/ y (/ a (- z t)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- x (/ y (/ a (- z t))))
48.0ms	(/ a (- z t))
69.0ms	(/ y (/ a (- z t)))

simplify51.0ms

Counts: 164 → 164

prune435.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

7.0ms	(- x (* (/ y a) (- z t)))
31.0ms	(* (/ y a) (- z t))

series117.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- x (* (/ y a) (- z t)))
64.0ms	(* (/ y a) (- z t))

simplify29.0ms

Counts: 64 → 64

prune149.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.5b	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.6b	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

4.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
262.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
94.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series604.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (- z t))
187.0ms	(cbrt (- z t))
86.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
147.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify89.0ms

Counts: 176 → 176

prune528.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes198.0ms

Accuracy

-118.1% (5.4b remaining)

Error of 5.4b against oracle of 0.0b and baseline of 2.5b

bsearch103.0ms

Steps

Iters	Range		Point
9	2.27234986379416e-63	5.0697219011720065e-57	8.192485547752354e-59
6	-1.7521345154609529e+30	-1.392800394734085e+29	-1.7842927315890493e+29

simplify403.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

582.0ms

10599×

body

valid