Details

sample45.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ y t))
0.8b	(fma (+ y x) z (* a (+ y t)))
3.4b	(- (fma (+ y x) z (* a (+ y t))) (* b y))
24.9b	(/ (- (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:

15.0ms	(* a (+ y t))
0.0ms	(fma (+ y x) z (* a (+ y t)))
5.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
52.0ms	(/ (- (fma (+ y x) z (* a (+ y t))) (* b y)) (+ x (+ y t)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* a (+ y t))
88.0ms	(fma (+ y x) z (* a (+ y t)))
188.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
290.0ms	(/ (- (fma (+ y x) z (* a (+ y t))) (* b y)) (+ x (+ y t)))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1655
1	414
0	156

prune931.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.8b

localize11.0ms

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

prune68.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.8b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y))))
0.8b	(fma (+ y x) z (* a (+ y t)))
3.4b	(- (fma (+ y x) z (* a (+ y t))) (* b y))
24.9b	(/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y)))

rewrite142.0ms

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:

41.0ms	(/ 1 (/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y))))
0.0ms	(fma (+ y x) z (* a (+ y t)))
8.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
85.0ms	(/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

795.0ms	(/ 1 (/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y))))
81.0ms	(fma (+ y x) z (* a (+ y t)))
164.0ms	(- (fma (+ y x) z (* a (+ y t))) (* b y))
137.0ms	(/ (+ x (+ y t)) (- (fma (+ y x) z (* a (+ y t))) (* b y)))

simplify1.6s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	2952
1	583
0	224

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x (+ y t)))
1.0b	(fma (+ y x) z (- (* (+ y t) a) (* b y)))
2.6b	(- (* (+ y t) a) (* b y))
25.0b	(* (/ 1 (+ x (+ y t))) (fma (+ y x) z (- (* (+ y t) a) (* b y))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-l` `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×	`associate-r` `fma-udef` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `flip--` `inv-pow`

Counts

4 → 116

Calls

4 calls:

37.0ms	(/ 1 (+ x (+ y t)))
0.0ms	(fma (+ y x) z (- (* (+ y t) a) (* b y)))
19.0ms	(- (* (+ y t) a) (* b y))
85.0ms	(* (/ 1 (+ x (+ y t))) (fma (+ y x) z (- (* (+ y t) a) (* b y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ 1 (+ x (+ y t)))
137.0ms	(fma (+ y x) z (- (* (+ y t) a) (* b y)))
47.0ms	(- (* (+ y t) a) (* b y))
787.0ms	(* (/ 1 (+ x (+ y t))) (fma (+ y x) z (- (* (+ y t) a) (* b y))))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	2434
1	412
0	155

prune841.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.3b

regimes1.0s

Accuracy

52.8% (11.4b remaining)

Error of 15.9b against oracle of 4.5b and baseline of 28.7b

bsearch171.0ms

Steps

Iters	Range		Point
9	1.0148592896668579e+101	3.5641396659162224e+108	2.7405193470616635e+102
9	-1.738483815589496e+49	-1.6593527819979362e+44	-1.3777814475303953e+49

simplify6.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample1.4s

Algorithm

intervals

Results

808.0ms	7994×	body	80	valid
1.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid