Details

sample58.0ms

Algorithm

intervals

Results

30.0ms

358×

body

valid

simplify6.2s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff`
19×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `fma-udef`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 77

Calls

3 calls:

0.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))
15.0ms	(/ (* a b) 4.0)
15.0ms	(- (fma y x c) (/ (* a b) 4.0))

series582.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))
23.0ms	(/ (* a b) 4.0)
390.0ms	(- (fma y x c) (/ (* a b) 4.0))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1235
1	383
0	160

prune568.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ t 16.0) z (- (fma y x c) (/ 1 (/ 4.0 (* a b)))))
0.0b	(- (fma y x c) (/ 1 (/ 4.0 (* a b))))
0.2b	(/ 4.0 (* a b))
0.6b	(/ 1 (/ 4.0 (* a b)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
98×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
91×	`add-cube-cbrt`
78×	`prod-diff`
30×	`add-exp-log`
19×	`div-inv`
18×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `fma-neg` `1-exp` `difference-of-squares`
2×	`clear-num` `frac-2neg` `cbrt-unprod` `fma-udef` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `pow-flip` `flip--` `inv-pow`

Counts

4 → 196

Calls

4 calls:

0.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ 1 (/ 4.0 (* a b)))))
32.0ms	(- (fma y x c) (/ 1 (/ 4.0 (* a b))))
13.0ms	(/ 4.0 (* a b))
15.0ms	(/ 1 (/ 4.0 (* a b)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ 1 (/ 4.0 (* a b)))))
87.0ms	(- (fma y x c) (/ 1 (/ 4.0 (* a b))))
33.0ms	(/ 4.0 (* a b))
29.0ms	(/ 1 (/ 4.0 (* a b)))

simplify1.5s

Counts

208 → 208

Iterations

Iter	Nodes
done	5000
2	2107
1	915
0	361

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (* (* (cbrt (/ 4.0 (* a b))) (cbrt (/ 4.0 (* a b)))) (cbrt (/ 4.0 (* a b)))))
12.0b	(cbrt (/ 4.0 (* a b)))
12.0b	(cbrt (/ 4.0 (* a b)))
12.0b	(cbrt (/ 4.0 (* a b)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
24×	`pow1`
21×	`cbrt-prod`
15×	`cbrt-div` `pow-flip`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `pow1/3` `add-cube-cbrt`
9×	`add-cbrt-cube` `prod-exp` `pow-prod-up`
7×	`associate-/r/`
6×	`pow-plus` `div-exp`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-sqr` `cbrt-unprod` `associate-/l`
2×	`pow2`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow3` `inv-pow`

Counts

4 → 112

Calls

4 calls:

106.0ms	(/ 1 (* (* (cbrt (/ 4.0 (* a b))) (cbrt (/ 4.0 (* a b)))) (cbrt (/ 4.0 (* a b)))))
11.0ms	(cbrt (/ 4.0 (* a b)))
4.0ms	(cbrt (/ 4.0 (* a b)))
8.0ms	(cbrt (/ 4.0 (* a b)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ 1 (* (* (cbrt (/ 4.0 (* a b))) (cbrt (/ 4.0 (* a b)))) (cbrt (/ 4.0 (* a b)))))
113.0ms	(cbrt (/ 4.0 (* a b)))
121.0ms	(cbrt (/ 4.0 (* a b)))
122.0ms	(cbrt (/ 4.0 (* a b)))

simplify1.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5004
3	1798
2	655
1	311
0	151

prune757.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes714.0ms

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

sample1.9s

Algorithm

intervals

Results

1.4s

11950×

body

valid