Details

sample64.0ms

Algorithm

intervals

Results

31.0ms

273×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	1738
8	588
7	279
6	203
5	170
4	125
3	75
2	43
1	24
0	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- t a))
0.3b	(fma y x (* z (- t a)))
22.6b	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`sub-neg` `associate-*r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

42.0ms	(* z (- t a))
0.0ms	(fma y x (* z (- t a)))
5.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

series738.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* z (- t a))
74.0ms	(fma y x (* z (- t a)))
614.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

simplify650.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1108
1	337
0	164

prune667.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.8b

localize43.0ms

Local error

Found 3 expressions with local error:

0.3b	(fma y x (+ (* t z) (* (- z) a)))
0.8b	(+ (* t z) (* (- z) a))
22.6b	(/ (fma y x (+ (* t z) (* (- z) a))) (fma z (- b y) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`distribute-lft-neg-out`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-exp` `unsub-neg` `flip-+` `fma-udef` `div-inv`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma y x (+ (* t z) (* (- z) a)))
6.0ms	(+ (* t z) (* (- z) a))
7.0ms	(/ (fma y x (+ (* t z) (* (- z) a))) (fma z (- b y) y))

series723.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(fma y x (+ (* t z) (* (- z) a)))
55.0ms	(+ (* t z) (* (- z) a))
593.0ms	(/ (fma y x (+ (* t z) (* (- z) a))) (fma z (- b y) y))

simplify2.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	4501
2	774
1	219
0	95

prune583.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (fma (- b y) z y))
0.3b	(fma y x (+ (* t z) (* (- z) a)))
0.8b	(+ (* t z) (* (- z) a))
22.4b	(* (fma y x (+ (* t z) (* (- z) a))) (/ 1 (fma (- b y) z y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

8.0ms	(/ 1 (fma (- b y) z y))
0.0ms	(fma y x (+ (* t z) (* (- z) a)))
13.0ms	(+ (* t z) (* (- z) a))
24.0ms	(* (fma y x (+ (* t z) (* (- z) a))) (/ 1 (fma (- b y) z y)))

series900.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ 1 (fma (- b y) z y))
57.0ms	(fma y x (+ (* t z) (* (- z) a)))
60.0ms	(+ (* t z) (* (- z) a))
638.0ms	(* (fma y x (+ (* t z) (* (- z) a))) (/ 1 (fma (- b y) z y)))

simplify760.0ms

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	1414
1	326
0	132

prune781.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.7b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (/ (fma z (- b y) y) (fma (- t a) z (* y x))))
0.5b	(fma (- t a) z (* y x))
22.5b	(/ (fma z (- b y) y) (fma (- t a) z (* y x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*` `add-exp-log`
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` `clear-num` `frac-2neg` `1-exp`
1×	`associate-/r/` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 117

Calls

3 calls:

16.0ms	(/ 1 (/ (fma z (- b y) y) (fma (- t a) z (* y x))))
1.0ms	(fma (- t a) z (* y x))
4.0ms	(/ (fma z (- b y) y) (fma (- t a) z (* y x)))

series948.0ms

Counts

3 → 9

Calls

3 calls:

692.0ms	(/ 1 (/ (fma z (- b y) y) (fma (- t a) z (* y x))))
57.0ms	(fma (- t a) z (* y x))
199.0ms	(/ (fma z (- b y) y) (fma (- t a) z (* y x)))

simplify977.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	1499
1	385
0	171

prune777.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 14.8b

regimes1.4s

Accuracy

51% (4.2b remaining)

Error of 18.7b against oracle of 14.6b and baseline of 23.1b

bsearch154.0ms

Steps

Iters	Range		Point
8	1.4402646888535816e+134	3.997337028824393e+136	7.094607194622829e+134
11	-1.8034708975126624e+151	-8.347378681832272e+123	-2.228767006755459e+134

simplify6.0ms

Iterations

Iter	Nodes
done	41
3	41
2	40
1	36
0	25

end0.0ms

sample2.0s

Algorithm

intervals

Results

732.0ms

8414×

body

valid