Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

275×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	14	17
1	24	16
2	43	15
3	75	15
4	112	15
5	148	15
6	181	15
7	257	15
8	419	15
9	728	15
10	1525	15
11	4096	15
done	5000	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- t a))
22.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `associate-/r` `flip-+` `log1p-expm1-u` `associate-/l`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 115

Calls

3 calls:

14.0ms	(+ (* x y) (* z (- t a)))
27.0ms	(* z (- t a))
34.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series478.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* x y) (* z (- t a)))
45.0ms	(* z (- t a))
382.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify724.0ms

Counts

124 → 124

Iterations

Useful iterations: done (720.0ms)

Iter	Nodes	Cost
0	205	2183
1	468	1834
2	1337	1554
done	5000	1506

prune398.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z (- t a)))
0.0b	(* z (- t a))
0.5b	(/ 1 (fma z (- b y) y))
22.5b	(* (+ (* x y) (* z (- t a))) (/ 1 (fma z (- b y) y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
46×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `sub-neg` `div-exp` `log1p-expm1-u` `unswap-sqr`
3×	`flip3-+` `associate-r/` `associate-/r` `cbrt-unprod` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `fma-def` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 157

Calls

4 calls:

13.0ms	(+ (* x y) (* z (- t a)))
23.0ms	(* z (- t a))
6.0ms	(/ 1 (fma z (- b y) y))
34.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (fma z (- b y) y)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* x y) (* z (- t a)))
46.0ms	(* z (- t a))
64.0ms	(/ 1 (fma z (- b y) y))
389.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (fma z (- b y) y)))

simplify859.0ms

Counts

169 → 169

Iterations

Useful iterations: done (854.0ms)

Iter	Nodes	Cost
0	237	2753
1	521	2261
2	1450	1949
done	5000	1901

prune499.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 23.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- t a) (* x y))
0.2b	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* x y))))
22.9b	(/ (fma z (- b y) y) (fma z (- t a) (* x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/r/` `fma-udef` `inv-pow`

Counts

3 → 117

Calls

3 calls:

0.0ms	(fma z (- t a) (* x y))
10.0ms	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* x y))))
5.0ms	(/ (fma z (- b y) y) (fma z (- t a) (* x y)))

series979.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(fma z (- t a) (* x y))
796.0ms	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* x y))))
131.0ms	(/ (fma z (- b y) y) (fma z (- t a) (* x y)))

simplify1.7s

Counts

126 → 126

Iterations

Useful iterations: 3 (577.0ms)

Iter	Nodes	Cost
0	170	3177
1	335	2961
2	696	2682
3	2351	2664
done	5001	2664

prune322.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 15.0b

localize16.0ms

Local error

Found 4 expressions with local error:

8.5b	(/ (cbrt (fma z (- t a) (* x y))) (fma z (- b y) y))
17.8b	(cbrt (fma z (- t a) (* x y)))
17.8b	(cbrt (fma z (- t a) (* x y)))
17.8b	(cbrt (fma z (- t a) (* x y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
6×	`add-exp-log` `associate-/l*`
5×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 80

Calls

4 calls:

9.0ms	(/ (cbrt (fma z (- t a) (* x y))) (fma z (- b y) y))
1.0ms	(cbrt (fma z (- t a) (* x y)))
1.0ms	(cbrt (fma z (- t a) (* x y)))
1.0ms	(cbrt (fma z (- t a) (* x y)))

series931.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(/ (cbrt (fma z (- t a) (* x y))) (fma z (- b y) y))
207.0ms	(cbrt (fma z (- t a) (* x y)))
205.0ms	(cbrt (fma z (- t a) (* x y)))
202.0ms	(cbrt (fma z (- t a) (* x y)))

simplify2.3s

Counts

92 → 92

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	124	1898
1	251	1855
2	584	1733
3	1482	1661
4	4115	1633
done	5000	1633

prune343.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 15.0b

regimes521.0ms

Accuracy

93% (0.6b remaining)

Error of 14.9b against oracle of 14.3b and baseline of 22.7b

bsearch2.0ms

simplify17.0ms

Iterations

Useful iterations: 4 (8.0ms)

Iter	Nodes	Cost
0	29	135
1	37	129
2	40	113
3	46	107
4	49	106
5	52	106
6	53	106
7	54	106
done	54	106

end0.0ms

sample745.0ms

Algorithm

intervals

Results

332.0ms

8407×

body

valid