Details

sample56.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4350
5	2090
4	637
3	201
2	79
1	33
0	16

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ y t))
1.3b	(fma (+ y x) z (* a (+ y t)))
1.4b	(- (fma (+ y x) z (* a (+ y t))) (* b y))
25.8b	(/ (- (fma (+ y x) z (* a (+ y t))) (* b y)) (+ x (+ y t)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `associate-/l*`
2×	`flip3-+` `flip3--` `associate-*r/` `associate-/r/` `flip-+` `fma-udef` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

17.0ms	(* a (+ y t))
0.0ms	(fma (+ y x) z (* a (+ y t)))
7.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
47.0ms	(/ (- (fma (+ y x) z (* a (+ y t))) (* b y)) (+ x (+ y t)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* a (+ y t))
72.0ms	(fma (+ y x) z (* a (+ y t)))
148.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
215.0ms	(/ (- (fma (+ y x) z (* a (+ y t))) (* b y)) (+ x (+ y t)))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1655
1	414
0	156

prune801.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune57.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x (+ y t)))
1.3b	(fma (+ y x) z (* a (+ y t)))
1.4b	(- (fma (+ y x) z (* a (+ y t))) (* b y))
25.9b	(* (- (fma (+ y x) z (* a (+ y t))) (* b y)) (/ 1 (+ x (+ y t))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `associate-l` `prod-diff` `flip--` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `fma-udef` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate--l+` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 124

Calls

4 calls:

25.0ms	(/ 1 (+ x (+ y t)))
0.0ms	(fma (+ y x) z (* a (+ y t)))
5.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
78.0ms	(* (- (fma (+ y x) z (* a (+ y t))) (* b y)) (/ 1 (+ x (+ y t))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ 1 (+ x (+ y t)))
73.0ms	(fma (+ y x) z (* a (+ y t)))
140.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
207.0ms	(* (- (fma (+ y x) z (* a (+ y t))) (* b y)) (/ 1 (+ x (+ y t))))

simplify4.1s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
2	3088
1	414
0	159

prune867.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y))))
1.3b	(fma (+ y x) z (* a (+ y t)))
1.4b	(- (fma (+ y x) z (* a (+ y t))) (* b y))
25.9b	(/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
138×	`times-frac`
74×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `associate--l+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 182

Calls

4 calls:

48.0ms	(/ 1 (/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y))))
0.0ms	(fma (+ y x) z (* a (+ y t)))
6.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
70.0ms	(/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

794.0ms	(/ 1 (/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y))))
74.0ms	(fma (+ y x) z (* a (+ y t)))
141.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
124.0ms	(/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y)))

simplify1.5s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	2952
1	583
0	224

prune1.0s

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 4.3b

regimes850.0ms

Accuracy

49.9% (12.0b remaining)

Error of 16.5b against oracle of 4.5b and baseline of 28.5b

bsearch68.0ms

Steps

Iters	Range		Point
9	9.295714796656218e+47	8.292626121950358e+53	8.144388898542232e+53
3	-0.042530208599811804	-0.0294615727517459	-0.04160164215629181

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.4s

8000×

body

valid