Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

358×

body

valid

simplify59.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.1b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

8.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(* (* z 9.0) t)
22.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (* z 9.0) t)
81.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify42.0ms

Counts: 63 → 63

prune173.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
3.6b	(/ (* x y) a)
5.0b	(/ (* t z) a)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

18.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
16.0ms	(/ (* x y) a)
10.0ms	(/ (* t z) a)

series202.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms	(* 4.5 (/ (* t z) a))
26.0ms	(/ (* x y) a)
24.0ms	(/ (* t z) a)

simplify47.0ms

Counts: 95 → 95

prune506.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
3.3b	(/ x (/ a y))
5.0b	(/ (* t z) a)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
53×	`add-sqr-sqrt`
51×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
6×	`pow1` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-/l*`
3×	`associate-r/` `associate-l*`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-/r/` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

16.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
9.0ms	(/ x (/ a y))
12.0ms	(/ (* t z) a)

series173.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
31.0ms	(* 4.5 (/ (* t z) a))
23.0ms	(/ x (/ a y))
26.0ms	(/ (* t z) a)

simplify67.0ms

Counts: 143 → 143

prune392.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ x (/ a y))) (/ (* 4.5 (* t z)) a))
0.2b	(* 4.5 (* t z))
3.3b	(/ x (/ a y))
4.9b	(/ (* 4.5 (* t z)) a)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
9×	`pow1`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
4×	`associate-/l*`
3×	`associate-l` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `associate-r/` `associate-r` `associate-/r/` `-commutative` `frac-sub` `flip--`

Counts

4 → 124

Calls

4 calls:

16.0ms	(- (* 0.5 (/ x (/ a y))) (/ (* 4.5 (* t z)) a))
16.0ms	(* 4.5 (* t z))
9.0ms	(/ x (/ a y))
26.0ms	(/ (* 4.5 (* t z)) a)

series172.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (* 0.5 (/ x (/ a y))) (/ (* 4.5 (* t z)) a))
23.0ms	(* 4.5 (* t z))
24.0ms	(/ x (/ a y))
34.0ms	(/ (* 4.5 (* t z)) a)

simplify72.0ms

Counts: 136 → 136

prune384.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes393.0ms

Accuracy

19.2% (6.2b remaining)

Error of 6.7b against oracle of 0.5b and baseline of 8.1b

bsearch164.0ms

Steps

Iters	Range	Point
6	4.0924716214882596e+21	3.4805862322027356e+22	7.477629592254326e+21
9	-2.061720198766929e+48	-2.2633783743194203e+41	-1.0044925756049832e+46
6	-1.5558962859871174e+109	-1.9143071606384546e+108	-5.258769420001927e+108

Iters

Range

Point

4.0924716214882596e+21

3.4805862322027356e+22

7.477629592254326e+21

-2.061720198766929e+48

-2.2633783743194203e+41

-1.0044925756049832e+46

-1.5558962859871174e+109

-1.9143071606384546e+108

-5.258769420001927e+108

simplify2.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

639.0ms

11320×

body

valid