Details

sample57.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
3	709
2	152
1	33
0	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 4 i) (/ 1.0 i))
0.1b	(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

17.0ms	(- (* 4 i) (/ 1.0 i))
22.0ms	(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

series202.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(- (* 4 i) (/ 1.0 i))
116.0ms	(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

simplify1.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5006
2	1523
1	491
0	189

prune214.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 4 i) (/ 1.0 i))
0.1b	(/ 1 (- (* 4 i) (/ 1.0 i)))
0.1b	(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`times-frac`
34×	`*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`add-exp-log`
17×	`add-cbrt-cube`
15×	`associate-l`
13×	`associate-r` `prod-diff`
10×	`div-exp`
8×	`prod-exp`
6×	`pow1` `unswap-sqr`
5×	`cbrt-undiv` `add-log-exp`
4×	`associate-/r/` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `associate-/r` `flip3--` `1-exp` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l`
1×	`frac-times` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 126

Calls

3 calls:

19.0ms	(- (* 4 i) (/ 1.0 i))
29.0ms	(/ 1 (- (* 4 i) (/ 1.0 i)))
63.0ms	(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))

series354.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(- (* 4 i) (/ 1.0 i))
97.0ms	(/ 1 (- (* 4 i) (/ 1.0 i)))
145.0ms	(* (/ 1 (- (* 4 i) (/ 1.0 i))) (/ i 4))

simplify1.9s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	2488
1	813
0	290

prune493.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt 1.0) (sqrt i))
0.5b	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
0.5b	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
60.8b	(fma (- (/ (sqrt 1.0) (sqrt i))) (/ (sqrt 1.0) (sqrt i)) (* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

572×	`add-sqr-sqrt`
522×	`sqrt-prod`
516×	`times-frac`
264×	`*-un-lft-identity` `add-cube-cbrt`
136×	`swap-sqr`
80×	`associate-r` `associate-l`
50×	`unswap-sqr`
30×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
9×	`cbrt-undiv` `sqrt-undiv` `div-exp` `div-inv`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`clear-num` `frac-2neg` `fma-udef`

Counts

4 → 479

Calls

4 calls:

5.0ms	(/ (sqrt 1.0) (sqrt i))
23.0ms	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
49.0ms	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
1.0ms	(fma (- (/ (sqrt 1.0) (sqrt i))) (/ (sqrt 1.0) (sqrt i)) (* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i))))

series724.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (sqrt 1.0) (sqrt i))
142.0ms	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
127.0ms	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
387.0ms	(fma (- (/ (sqrt 1.0) (sqrt i))) (/ (sqrt 1.0) (sqrt i)) (* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i))))

simplify1.8s

Counts

491 → 491

Iterations

Iter	Nodes
done	5000
2	2432
1	877
0	266

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 4 i) (/ 1.0 i))
0.1b	(/ (* (- (* 4 i) (/ 1.0 i)) 4) i)
0.5b	(/ 1 (/ (* (- (* 4 i) (/ 1.0 i)) 4) i))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
29×	`add-exp-log`
28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp`
13×	`prod-diff`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-inv`
5×	`add-log-exp`
4×	`pow1` `prod-exp` `associate-/l*`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `associate-*l/` `cbrt-unprod` `flip--` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 114

Calls

3 calls:

14.0ms	(- (* 4 i) (/ 1.0 i))
27.0ms	(/ (* (- (* 4 i) (/ 1.0 i)) 4) i)
22.0ms	(/ 1 (/ (* (- (* 4 i) (/ 1.0 i)) 4) i))

series426.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(- (* 4 i) (/ 1.0 i))
199.0ms	(/ (* (- (* 4 i) (/ 1.0 i)) 4) i)
131.0ms	(/ 1 (/ (* (- (* 4 i) (/ 1.0 i)) 4) i))

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	2247
1	707
0	263

prune404.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

879.0ms	8000×	body	80	valid
197.0ms	8000×	pre	80	true