Details

sample48.0ms

Algorithm

intervals

Results

19.0ms

272×

body

valid

simplify507.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	670
6	223
5	122
4	88
3	60
2	38
1	19
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* a z))
7.5b	(/ (- x (* y z)) (- t (* a z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

9.0ms	(- t (* a z))
36.0ms	(/ (- x (* y z)) (- t (* a z)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- t (* a z))
98.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify709.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1082
1	253
0	99

prune449.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.4b	(/ 1 (/ (- t (* a z)) (fma (- y) z x)))
7.5b	(/ (- t (* a z)) (fma (- y) z x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*` `add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-neg` `prod-diff` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 130

Calls

3 calls:

5.0ms	(- t (* a z))
11.0ms	(/ 1 (/ (- t (* a z)) (fma (- y) z x)))
25.0ms	(/ (- t (* a z)) (fma (- y) z x))

series506.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- t (* a z))
348.0ms	(/ 1 (/ (- t (* a z)) (fma (- y) z x)))
117.0ms	(/ (- t (* a z)) (fma (- y) z x))

simplify1.6s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	2499
1	477
0	189

prune774.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (/ (fma z (- y) x) (fma (- a) z t)))
0.4b	(/ 1 (/ 1 (/ (fma z (- y) x) (fma (- a) z t))))
7.5b	(/ (fma z (- y) x) (fma (- a) z t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
59×	`add-exp-log`
43×	`div-exp`
23×	`div-inv`
19×	`add-cbrt-cube`
15×	`rec-exp` `1-exp`
10×	`cbrt-undiv`
9×	`associate-/l*`
6×	`pow1` `associate-/r/`
5×	`pow-flip`
3×	`expm1-log1p-u` `clear-num` `frac-2neg` `log1p-expm1-u` `inv-pow` `add-log-exp`
1×	`remove-double-div`

Counts

3 → 328

Calls

3 calls:

10.0ms	(/ 1 (/ (fma z (- y) x) (fma (- a) z t)))
23.0ms	(/ 1 (/ 1 (/ (fma z (- y) x) (fma (- a) z t))))
4.0ms	(/ (fma z (- y) x) (fma (- a) z t))

series330.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(/ 1 (/ (fma z (- y) x) (fma (- a) z t)))
100.0ms	(/ 1 (/ 1 (/ (fma z (- y) x) (fma (- a) z t))))
75.0ms	(/ (fma z (- y) x) (fma (- a) z t))

simplify814.0ms

Counts

337 → 337

Iterations

Iter	Nodes
done	5000
1	1154
0	423

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.3b	(/ 1 (fma z (- y) x))
0.4b	(/ 1 (* (- t (* a z)) (/ 1 (fma z (- y) x))))
7.5b	(* (- t (* a z)) (/ 1 (fma z (- y) x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
31×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`times-frac`
20×	`add-cbrt-cube` `div-exp`
16×	`prod-exp`
13×	`associate-r`
10×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-/r` `associate-l/` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `un-div-inv` `inv-pow`
1×	`sub-neg` `diff-log` `*-commutative`

Counts

4 → 141

Calls

4 calls:

9.0ms	(- t (* a z))
12.0ms	(/ 1 (fma z (- y) x))
22.0ms	(/ 1 (* (- t (* a z)) (/ 1 (fma z (- y) x))))
40.0ms	(* (- t (* a z)) (/ 1 (fma z (- y) x)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- t (* a z))
41.0ms	(/ 1 (fma z (- y) x))
324.0ms	(/ 1 (* (- t (* a z)) (/ 1 (fma z (- y) x))))
108.0ms	(* (- t (* a z)) (/ 1 (fma z (- y) x)))

simplify3.3s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	3157
1	437
0	173

prune789.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.1b

regimes665.0ms

Accuracy

76% (0.9b remaining)

Error of 8.0b against oracle of 7.1b and baseline of 11.0b

bsearch3.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	32
1	32
0	24

end0.0ms

sample1.2s

Algorithm

intervals

Results

645.0ms

8734×

body

valid