Details

sample35.0ms

Algorithm

intervals

Results

18.0ms

334×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4902
6	1065
5	403
4	228
3	106
2	49
1	25
0	14

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (fma z 1.0 1) (* t z)) 1)
0.0b	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
10.6b	(/ (fma z 1.0 1) (* t z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

35.0ms	(- (/ (fma z 1.0 1) (* t z)) 1)
0.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
11.0ms	(/ (fma z 1.0 1) (* t z))

series217.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (/ (fma z 1.0 1) (* t z)) 1)
103.0ms	(fma (- (/ (fma z 1.0 1) (* t z)) 1) 2.0 (/ x y))
57.0ms	(/ (fma z 1.0 1) (* t z))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1112
1	318
0	135

prune487.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma 1.0 (/ 1 t) (/ (/ 1 t) z)) 1)
0.0b	(fma (- (fma 1.0 (/ 1 t) (/ (/ 1 t) z)) 1) 2.0 (/ x y))
0.0b	(fma 1.0 (/ 1 t) (/ (/ 1 t) z))
0.2b	(/ (/ 1 t) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
53×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-/l*`
9×	`add-cbrt-cube` `prod-diff`
6×	`div-exp` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `fma-neg` `fma-udef`
2×	`difference-of-squares`
1×	`rec-exp` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `difference-of-sqr-1` `associate--l+` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 126

Calls

4 calls:

6.0ms	(- (fma 1.0 (/ 1 t) (/ (/ 1 t) z)) 1)
0.0ms	(fma (- (fma 1.0 (/ 1 t) (/ (/ 1 t) z)) 1) 2.0 (/ x y))
0.0ms	(fma 1.0 (/ 1 t) (/ (/ 1 t) z))
14.0ms	(/ (/ 1 t) z)

series192.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (fma 1.0 (/ 1 t) (/ (/ 1 t) z)) 1)
90.0ms	(fma (- (fma 1.0 (/ 1 t) (/ (/ 1 t) z)) 1) 2.0 (/ x y))
53.0ms	(fma 1.0 (/ 1 t) (/ (/ 1 t) z))
17.0ms	(/ (/ 1 t) z)

simplify1.4s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	2034
1	534
0	228

prune825.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma z 1.0 1) z)
0.0b	(fma (fma (/ 1 t) (/ (fma z 1.0 1) z) -1) 2.0 (/ x y))
0.1b	(fma (/ 1 t) (/ (fma z 1.0 1) z) -1)

rewrite11.0ms

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`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 49

Calls

3 calls:

8.0ms	(/ (fma z 1.0 1) z)
0.0ms	(fma (fma (/ 1 t) (/ (fma z 1.0 1) z) -1) 2.0 (/ x y))
1.0ms	(fma (/ 1 t) (/ (fma z 1.0 1) z) -1)

series264.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (fma z 1.0 1) z)
84.0ms	(fma (fma (/ 1 t) (/ (fma z 1.0 1) z) -1) 2.0 (/ x y))
57.0ms	(fma (/ 1 t) (/ (fma z 1.0 1) z) -1)

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	2423
2	474
1	166
0	93

prune399.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

14.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series995.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (cbrt z) (cbrt z))
218.0ms	(cbrt z)
215.0ms	(cbrt z)
252.0ms	(cbrt z)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune621.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

10468×

body

valid