Details

sample52.0ms

Algorithm

intervals

Results

23.0ms

339×

body

valid

simplify19.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.5b	(* (* z 3.0) y)
6.2b	(/ t (* (* z 3.0) y))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

105.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
11.0ms	(/ y (* z 3.0))
20.0ms	(* (* z 3.0) y)
33.0ms	(/ t (* (* z 3.0) y))

series226.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
31.0ms	(/ y (* z 3.0))
31.0ms	(* (* z 3.0) y)
32.0ms	(/ t (* (* z 3.0) y))

simplify55.0ms

Counts: 93 → 93

prune331.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ y (* z 3.0))
0.4b	(/ t (* z 3.0))
4.7b	(/ (/ t (* z 3.0)) y)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`div-inv`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`associate-+l+` `frac-add` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 109

Calls

4 calls:

102.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
16.0ms	(/ y (* z 3.0))
16.0ms	(/ t (* z 3.0))
38.0ms	(/ (/ t (* z 3.0)) y)

series254.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
33.0ms	(/ y (* z 3.0))
33.0ms	(/ t (* z 3.0))
56.0ms	(/ (/ t (* z 3.0)) y)

simplify54.0ms

Counts: 121 → 121

prune362.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(* (/ 1 z) (/ y 3.0))
0.4b	(/ t (* z 3.0))
4.7b	(/ (/ t (* z 3.0)) y)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

61×	`times-frac`
53×	`add-sqr-sqrt`
40×	`add-exp-log` `*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`add-cbrt-cube`
15×	`div-exp`
13×	`associate-r` `associate-l`
11×	`cbrt-undiv`
10×	`prod-exp` `associate-/l*`
9×	`add-log-exp`
8×	`div-inv`
6×	`pow1` `cbrt-unprod` `unswap-sqr`
4×	`associate-/r*`
2×	`rec-exp` `associate-+l+` `frac-2neg` `1-exp` `frac-add` `clear-num` `sum-log`
1×	`+-commutative` `frac-times` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

42.0ms	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
27.0ms	(* (/ 1 z) (/ y 3.0))
11.0ms	(/ t (* z 3.0))
20.0ms	(/ (/ t (* z 3.0)) y)

series181.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
18.0ms	(* (/ 1 z) (/ y 3.0))
23.0ms	(/ t (* z 3.0))
33.0ms	(/ (/ t (* z 3.0)) y)

simplify77.0ms

Counts: 155 → 155

prune447.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (pow (/ (/ y 3.0) z) 1)) (/ (/ t (* z 3.0)) y))
0.1b	(/ (/ y 3.0) z)
0.4b	(/ t (* z 3.0))
4.7b	(/ (/ t (* z 3.0)) y)

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
69×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
11×	`div-inv`
10×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
7×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`associate-+l+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 158

Calls

4 calls:

490.0ms	(+ (- x (pow (/ (/ y 3.0) z) 1)) (/ (/ t (* z 3.0)) y))
18.0ms	(/ (/ y 3.0) z)
18.0ms	(/ t (* z 3.0))
17.0ms	(/ (/ t (* z 3.0)) y)

series226.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(+ (- x (pow (/ (/ y 3.0) z) 1)) (/ (/ t (* z 3.0)) y))
27.0ms	(/ (/ y 3.0) z)
32.0ms	(/ t (* z 3.0))
43.0ms	(/ (/ t (* z 3.0)) y)

simplify60.0ms

Counts: 170 → 170

prune659.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes235.0ms

Accuracy

74.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch136.0ms

Steps

Iters	Range		Point
9	1902.9075791774285	31328744069.68555	2285.0509823898337
7	-351616126183326.2	-1762094723581.6226	-15821052806207.406

simplify47.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s

11189×

body

valid