Details

sample55.0ms

Algorithm

intervals

Results

27.0ms

340×

body

valid

simplify1.8s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
6.6b	(/ (* y (- z x)) t)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-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×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

16.0ms	(+ x (/ (* y (- z x)) t))
32.0ms	(* y (- z x))
16.0ms	(/ (* y (- z x)) t)

series181.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ x (/ (* y (- z x)) t))
57.0ms	(* y (- z x))
59.0ms	(/ (* y (- z x)) t)

simplify599.0ms

Counts: 70 → 70

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.5b	(/ 1 (/ t (* y (- z x))))
6.6b	(/ t (* y (- z x)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

29.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
33.0ms	(* y (- z x))
23.0ms	(/ 1 (/ t (* y (- z x))))
23.0ms	(/ t (* y (- z x)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
40.0ms	(* y (- z x))
73.0ms	(/ 1 (/ t (* y (- z x))))
48.0ms	(/ t (* y (- z x)))

simplify713.0ms

Counts: 138 → 138

prune330.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (/ 1 t) (/ 1 (* y (- z x)))))
0.0b	(* y (- z x))
0.6b	(/ 1 (* y (- z x)))
6.1b	(/ (/ 1 t) (/ 1 (* y (- z x))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
110×	`add-sqr-sqrt` `*-un-lft-identity`
106×	`add-cube-cbrt`
100×	`add-exp-log`
62×	`div-exp`
32×	`associate-*r/` `add-cbrt-cube`
31×	`associate-/r/`
26×	`div-inv`
17×	`rec-exp` `1-exp`
16×	`flip3--` `prod-exp` `flip--` `associate-/l*`
15×	`cbrt-undiv`
10×	`associate-/r*`
9×	`pow1`
6×	`add-log-exp`
5×	`associate-r`
4×	`cbrt-unprod`
3×	`associate-l`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `*-commutative` `flip-+` `associate-/l/` `distribute-lft-out` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 253

Calls

4 calls:

53.0ms	(+ x (/ (/ 1 t) (/ 1 (* y (- z x)))))
21.0ms	(* y (- z x))
24.0ms	(/ 1 (* y (- z x)))
31.0ms	(/ (/ 1 t) (/ 1 (* y (- z x))))

series179.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ (/ 1 t) (/ 1 (* y (- z x)))))
42.0ms	(* y (- z x))
29.0ms	(/ 1 (* y (- z x)))
68.0ms	(/ (/ 1 t) (/ 1 (* y (- z x))))

simplify614.0ms

Counts: 265 → 265

prune813.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (cbrt 1) (cbrt 1)) (* (* (/ (cbrt 1) t) y) (- z x))))
0.2b	(* (/ (cbrt 1) t) y)
4.8b	(* (* (/ (cbrt 1) t) y) (- z x))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
23×	`associate-l`
21×	`*-un-lft-identity` `times-frac`
18×	`add-cube-cbrt`
17×	`add-exp-log`
15×	`add-cbrt-cube`
11×	`cbrt-prod`
10×	`pow1` `distribute-rgt-in` `distribute-lft-in`
8×	`associate-+r+` `associate-r`
7×	`prod-exp` `cbrt-unprod`
6×	`sub-neg`
5×	`associate-*l/` `add-log-exp`
4×	`pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `flip3--` `associate-r/` `div-exp` `-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 93

Calls

3 calls:

24.0ms	(+ x (* (* (cbrt 1) (cbrt 1)) (* (* (/ (cbrt 1) t) y) (- z x))))
38.0ms	(* (/ (cbrt 1) t) y)
85.0ms	(* (* (/ (cbrt 1) t) y) (- z x))

series177.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (* (* (cbrt 1) (cbrt 1)) (* (* (/ (cbrt 1) t) y) (- z x))))
17.0ms	(* (/ (cbrt 1) t) y)
106.0ms	(* (* (/ (cbrt 1) t) y) (- z x))

simplify1.1s

Counts: 102 → 102

prune396.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

-174.5% (6.1b remaining)

Error of 6.1b against oracle of 0.0b and baseline of 2.2b

bsearch74.0ms

Steps

Iters	Range		Point
9	6.051056821962951e-60	1.2584587983409133e-50	4.1676572019103e-54
7	-2.125616890551993e-292	-1.1799652258135071e-294	-3.908231963040019e-294

simplify2.1s

end0.0ms

sample1.4s

Algorithm

intervals

Results

797.0ms

10647×

body

valid