Details

sample286.0ms

Algorithm

intervals

Results

69.0ms	24×	body	320	valid
54.0ms	54×	body	1280	valid
32.0ms	46×	body	640	valid
19.0ms	123×	body	80	valid
8.0ms	256×	pre	80	true
3.0ms	9×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	20	10
3	23	10
4	24	10
done	24	10

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 65

Calls

3 calls:

53.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
19.0ms	(* e (cos v))
23.0ms	(* e (sin v))

series357.0ms

Counts

3 → 9

Calls

3 calls:

184.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
82.0ms	(* e (cos v))
91.0ms	(* e (sin v))

simplify1.5s

Counts

74 → 74

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	124	767
1	313	731
2	1553	626
done	5001	622

prune573.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.2b	(pow (* e (cos v)) 3)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `*-commutative` `unswap-sqr`
2×	`pow-pow` `pow-exp` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

17.0ms	(* e (cos v))
25.0ms	(* e (cos v))
19.0ms	(* e (sin v))
14.0ms	(pow (* e (cos v)) 3)

series318.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* e (cos v))
64.0ms	(* e (cos v))
68.0ms	(* e (sin v))
117.0ms	(pow (* e (cos v)) 3)

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	90	622
1	208	548
2	954	522
done	5000	519

prune831.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ e (fma (cos v) e 1.0))
0.0b	(expm1 (* (/ e (fma (cos v) e 1.0)) (sin v)))
0.0b	(log1p (expm1 (* (/ e (fma (cos v) e 1.0)) (sin v))))
0.2b	(* (/ e (fma (cos v) e 1.0)) (sin v))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `expm1-udef`

Counts

4 → 85

Calls

4 calls:

10.0ms	(/ e (fma (cos v) e 1.0))
1.0ms	(expm1 (* (/ e (fma (cos v) e 1.0)) (sin v)))
1.0ms	(log1p (expm1 (* (/ e (fma (cos v) e 1.0)) (sin v))))
37.0ms	(* (/ e (fma (cos v) e 1.0)) (sin v))

series802.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ e (fma (cos v) e 1.0))
254.0ms	(expm1 (* (/ e (fma (cos v) e 1.0)) (sin v)))
272.0ms	(log1p (expm1 (* (/ e (fma (cos v) e 1.0)) (sin v))))
173.0ms	(* (/ e (fma (cos v) e 1.0)) (sin v))

simplify1.8s

Counts

97 → 97

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	164	1555
1	411	1497
2	2116	1349
done	5000	1341

prune886.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v)))
0.0b	(log1p (expm1 (* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v))))
0.1b	(/ 1 (/ (fma (cos v) e 1.0) e))
0.2b	(* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
96×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`associate-l`
34×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`div-exp`
13×	`associate-/r*`
9×	`div-inv`
7×	`pow1` `prod-exp`
6×	`cbrt-undiv`
5×	`log1p-expm1-u` `unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `add-log-exp`
3×	`associate-r` `cbrt-unprod` `associate-/l*`
2×	`associate-/r/`
1×	`log1p-udef` `expm1-log1p` `pow-flip` `frac-2neg` `log1p-expm1` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `inv-pow` `expm1-udef`

Counts

4 → 174

Calls

4 calls:

1.0ms	(expm1 (* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v)))
1.0ms	(log1p (expm1 (* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v))))
34.0ms	(/ 1 (/ (fma (cos v) e 1.0) e))
69.0ms	(* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v))

series763.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(expm1 (* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v)))
249.0ms	(log1p (expm1 (* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v))))
117.0ms	(/ 1 (/ (fma (cos v) e 1.0) e))
158.0ms	(* (/ 1 (/ (fma (cos v) e 1.0) e)) (sin v))

simplify4.6s

Counts

186 → 186

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	291	3309
1	809	3000
2	4468	2630
done	5000	2624

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	15	14
done	15	14

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.9s	1540×	body	1280	valid
984.0ms	1249×	body	640	valid
723.0ms	4304×	body	80	valid
312.0ms	8000×	pre	80	true
278.0ms	603×	body	320	valid
85.0ms	304×	body	160	valid