Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (91.0ms)

Iter	Nodes	Cost
0	16	21
1	33	20
2	79	20
3	201	20
4	405	19
5	766	19
6	1278	19
7	2257	19
8	4193	19
done	5000	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z b))
0.8b	(fma a (+ t y) (fma x z (* y (- z b))))
2.0b	(fma x z (* y (- z b)))
25.0b	(/ (fma a (+ t y) (fma x z (* y (- z b)))) (+ (+ x t) y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

23.0ms	(* y (- z b))
0.0ms	(fma a (+ t y) (fma x z (* y (- z b))))
0.0ms	(fma x z (* y (- z b)))
33.0ms	(/ (fma a (+ t y) (fma x z (* y (- z b)))) (+ (+ x t) y))

series591.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- z b))
108.0ms	(fma a (+ t y) (fma x z (* y (- z b))))
35.0ms	(fma x z (* y (- z b)))
414.0ms	(/ (fma a (+ t y) (fma x z (* y (- z b)))) (+ (+ x t) y))

simplify1.3s

Counts

117 → 117

Iterations

Useful iterations: 3 (551.0ms)

Iter	Nodes	Cost
0	182	2221
1	353	2023
2	892	1783
3	3629	1741
done	5000	1741

prune326.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma x z (* y (- z b))))))
0.8b	(fma a (+ t y) (fma x z (* y (- z b))))
2.0b	(fma x z (* y (- z b)))
25.0b	(/ (+ (+ x t) y) (fma a (+ t y) (fma x z (* y (- z b)))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

38.0ms	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma x z (* y (- z b))))))
0.0ms	(fma a (+ t y) (fma x z (* y (- z b))))
0.0ms	(fma x z (* y (- z b)))
66.0ms	(/ (+ (+ x t) y) (fma a (+ t y) (fma x z (* y (- z b)))))

series846.0ms

Counts

4 → 12

Calls

4 calls:

589.0ms	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma x z (* y (- z b))))))
108.0ms	(fma a (+ t y) (fma x z (* y (- z b))))
35.0ms	(fma x z (* y (- z b)))
114.0ms	(/ (+ (+ x t) y) (fma a (+ t y) (fma x z (* y (- z b)))))

simplify1.7s

Counts

173 → 173

Iterations

Useful iterations: 3 (778.0ms)

Iter	Nodes	Cost
0	189	5188
1	406	4825
2	1038	4452
3	4613	4420
done	5000	4420

prune343.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma y (- z b) (* x z)))))
0.8b	(fma a (+ t y) (fma y (- z b) (* x z)))
1.0b	(fma y (- z b) (* x z))
25.0b	(/ (+ (+ x t) y) (fma a (+ t y) (fma y (- z b) (* x z))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

38.0ms	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma y (- z b) (* x z)))))
0.0ms	(fma a (+ t y) (fma y (- z b) (* x z)))
0.0ms	(fma y (- z b) (* x z))
67.0ms	(/ (+ (+ x t) y) (fma a (+ t y) (fma y (- z b) (* x z))))

series836.0ms

Counts

4 → 12

Calls

4 calls:

584.0ms	(/ 1 (/ (+ (+ x t) y) (fma a (+ t y) (fma y (- z b) (* x z)))))
105.0ms	(fma a (+ t y) (fma y (- z b) (* x z)))
33.0ms	(fma y (- z b) (* x z))
114.0ms	(/ (+ (+ x t) y) (fma a (+ t y) (fma y (- z b) (* x z))))

simplify1.9s

Counts

173 → 173

Iterations

Useful iterations: 3 (784.0ms)

Iter	Nodes	Cost
0	189	5190
1	406	4827
2	1037	4454
3	4609	4422
done	5000	4422

prune344.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
0.8b	(fma a (+ t y) (fma y (- z b) (* x z)))
1.0b	(fma y (- z b) (* x z))
25.1b	(* (/ 1 (+ (+ x t) y)) (fma a (+ t y) (fma y (- z b) (* x z))))

rewrite114.0ms

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`
5×	`associate-/r*`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `inv-pow`

Counts

4 → 110

Calls

4 calls:

33.0ms	(/ 1 (+ (+ x t) y))
0.0ms	(fma a (+ t y) (fma y (- z b) (* x z)))
0.0ms	(fma y (- z b) (* x z))
77.0ms	(* (/ 1 (+ (+ x t) y)) (fma a (+ t y) (fma y (- z b) (* x z))))

series784.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ 1 (+ (+ x t) y))
105.0ms	(fma a (+ t y) (fma y (- z b) (* x z)))
32.0ms	(fma y (- z b) (* x z))
588.0ms	(* (/ 1 (+ (+ x t) y)) (fma a (+ t y) (fma y (- z b) (* x z))))

simplify1.6s

Counts

122 → 122

Iterations

Useful iterations: 3 (756.0ms)

Iter	Nodes	Cost
0	139	2085
1	320	1903
2	973	1691
3	4204	1689
done	5000	1689

prune272.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.3b

regimes498.0ms

Accuracy

48.2% (11.4b remaining)

Error of 15.9b against oracle of 4.5b and baseline of 26.5b

bsearch64.0ms

Steps

Iters	Range		Point
5	12295143411824714.0	28385775734641136.0	2.804499624369623e+16
8	-4.226763744546997e+53	-1.1127841500477707e+51	-1.6022473846352643e+53

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	39
1	35	35
done	35	35

end0.0ms

sample696.0ms

Algorithm

intervals

Results

329.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid