Details

sample86.0ms

Algorithm

intervals

Results

56.0ms

356×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
19	4838
18	4587
17	4346
16	4107
15	3856
14	3609
13	3369
12	3118
11	2867
10	2598
9	2252
8	1712
7	1089
6	729
5	456
4	266
3	137
2	69
1	33
0	17

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* a b) 4.0)
0.0b	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `times-frac`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 35

Calls

2 calls:

9.0ms	(/ (* a b) 4.0)
0.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))

series249.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (* a b) 4.0)
220.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))

simplify1.4s

Counts

41 → 41

Iterations

Iter	Nodes
done	5013
3	2532
2	583
1	174
0	81

prune271.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* a b) 4.0)
0.0b	(+ (* (/ t 16.0) z) (- (fma y x c) (/ (* a b) 4.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-+r+`
21×	`prod-diff`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`div-inv`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `sum-log` `div-exp` `associate-*l/` `frac-add` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `clear-num` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `flip3-+` `flip3--` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+` `fma-udef` `flip--` `associate-/l*`

Counts

2 → 67

Calls

2 calls:

15.0ms	(/ (* a b) 4.0)
33.0ms	(+ (* (/ t 16.0) z) (- (fma y x c) (/ (* a b) 4.0)))

series206.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (* a b) 4.0)
184.0ms	(+ (* (/ t 16.0) z) (- (fma y x c) (/ (* a b) 4.0)))

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1746
1	521
0	177

prune374.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (/ t 16.0) z) (* (/ t 16.0) z))
2.8b	(fma (* (/ t 16.0) z) (* (/ t 16.0) z) (* (fma (- a) (/ b 4.0) (fma x y c)) (- (fma (- a) (/ b 4.0) (fma x y c)) (* (/ t 16.0) z))))
3.1b	(fma (- (fma x y c) (/ (* b a) 4.0)) (* (- (fma x y c) (/ (* b a) 4.0)) (- (fma x y c) (/ (* b a) 4.0))) (* (* (/ t 16.0) z) (* (* (/ t 16.0) z) (* (/ t 16.0) z))))
45.2b	(/ (fma (- (fma x y c) (/ (* b a) 4.0)) (* (- (fma x y c) (/ (* b a) 4.0)) (- (fma x y c) (/ (* b a) 4.0))) (* (* (/ t 16.0) z) (* (* (/ t 16.0) z) (* (/ t 16.0) z)))) (fma (* (/ t 16.0) z) (* (/ t 16.0) z) (* (fma (- a) (/ b 4.0) (fma x y c)) (- (fma (- a) (/ b 4.0) (fma x y c)) (* (/ t 16.0) z)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
42×	`add-cbrt-cube` `add-exp-log`
21×	`prod-exp` `cbrt-unprod`
17×	`pow-prod-down`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`cbrt-undiv` `div-exp`
5×	`associate-*l/`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow-plus` `fma-udef`
1×	`pow2` `frac-times` `clear-num` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `associate-r/` `-commutative` `div-inv`

Counts

4 → 102

Calls

4 calls:

43.0ms	(* (* (/ t 16.0) z) (* (/ t 16.0) z))
0.0ms	(fma (* (/ t 16.0) z) (* (/ t 16.0) z) (* (fma (- a) (/ b 4.0) (fma x y c)) (- (fma (- a) (/ b 4.0) (fma x y c)) (* (/ t 16.0) z))))
0.0ms	(fma (- (fma x y c) (/ (* b a) 4.0)) (* (- (fma x y c) (/ (* b a) 4.0)) (- (fma x y c) (/ (* b a) 4.0))) (* (* (/ t 16.0) z) (* (* (/ t 16.0) z) (* (/ t 16.0) z))))
4.0ms	(/ (fma (- (fma x y c) (/ (* b a) 4.0)) (* (- (fma x y c) (/ (* b a) 4.0)) (- (fma x y c) (/ (* b a) 4.0))) (* (* (/ t 16.0) z) (* (* (/ t 16.0) z) (* (/ t 16.0) z)))) (fma (* (/ t 16.0) z) (* (/ t 16.0) z) (* (fma (- a) (/ b 4.0) (fma x y c)) (- (fma (- a) (/ b 4.0) (fma x y c)) (* (/ t 16.0) z)))))

series5.6m

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (/ t 16.0) z) (* (/ t 16.0) z))
3.8s	(fma (* (/ t 16.0) z) (* (/ t 16.0) z) (* (fma (- a) (/ b 4.0) (fma x y c)) (- (fma (- a) (/ b 4.0) (fma x y c)) (* (/ t 16.0) z))))
5.5m	(fma (- (fma x y c) (/ (* b a) 4.0)) (* (- (fma x y c) (/ (* b a) 4.0)) (- (fma x y c) (/ (* b a) 4.0))) (* (* (/ t 16.0) z) (* (* (/ t 16.0) z) (* (/ t 16.0) z))))
2.0s	(/ (fma (- (fma x y c) (/ (* b a) 4.0)) (* (- (fma x y c) (/ (* b a) 4.0)) (- (fma x y c) (/ (* b a) 4.0))) (* (* (/ t 16.0) z) (* (* (/ t 16.0) z) (* (/ t 16.0) z)))) (fma (* (/ t 16.0) z) (* (/ t 16.0) z) (* (fma (- a) (/ b 4.0) (fma x y c)) (- (fma (- a) (/ b 4.0) (fma x y c)) (* (/ t 16.0) z)))))

simplify1.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1730
1	481
0	193

prune731.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes601.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.3s

11891×

body

valid