Details

sample370.0ms

Algorithm

intervals

Results

125.0ms	50×	body	1280	valid
43.0ms	42×	body	640	valid
28.0ms	130×	body	80	valid
18.0ms	21×	body	320	valid
14.0ms	256×	pre	80	true
7.0ms	13×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	24
5	24
4	23
3	21
2	18
1	14
0	9

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (/ (sin v) (fma (cos v) e 1)) e)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

17.0ms	(/ (sin v) (fma (cos v) e 1))
43.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series155.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (sin v) (fma (cos v) e 1))
96.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify5.3s

Counts

71 → 71

Iterations

Iter	Nodes
3	3229
2	943
1	298
0	125

prune714.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (/ (sin v) (fma (cos v) e 1)) e)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

8.0ms	(/ (sin v) (fma (cos v) e 1))
15.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series173.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (sin v) (fma (cos v) e 1))
101.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify5.1s

Counts

71 → 71

Iterations

Iter	Nodes
3	3229
2	943
1	298
0	125

prune653.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* (sin v) e) (fma (cos v) e 1))
0.1b	(* (sin v) e)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

17.0ms	(/ (* (sin v) e) (fma (cos v) e 1))
9.0ms	(* (sin v) e)

series168.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(/ (* (sin v) e) (fma (cos v) e 1))
40.0ms	(* (sin v) e)

simplify2.1s

Counts

51 → 51

Iterations

Iter	Nodes
3	3111
2	741
1	215
0	92

prune498.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (cos v) e 1) e)
0.2b	(/ (sin v) (/ (fma (cos v) e 1) e))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 103

Calls

2 calls:

9.0ms	(/ (fma (cos v) e 1) e)
20.0ms	(/ (sin v) (/ (fma (cos v) e 1) e))

series213.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (fma (cos v) e 1) e)
138.0ms	(/ (sin v) (/ (fma (cos v) e 1) e))

simplify3.8s

Counts

109 → 109

Iterations

Iter	Nodes
3	4205
2	1365
1	454
0	190

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

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
2	9
1	9
0	8

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.3s	1517×	body	1280	valid
1.3s	1295×	body	640	valid
899.0ms	4316×	body	80	valid
427.0ms	583×	body	320	valid
297.0ms	8000×	pre	80	true
109.0ms	289×	body	160	valid