Details

sample240.0ms

Algorithm

intervals

Results

93.0ms	50×	body	1280	valid
18.0ms	37×	body	640	valid
14.0ms	124×	body	80	valid
12.0ms	28×	body	320	valid
6.0ms	256×	pre	80	true
5.0ms	17×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	24	10
done	24	10

prune13.0ms

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

rewrite95.0ms

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))))
17.0ms	(* e (sin v))
19.0ms	(* e (cos v))

series300.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
64.0ms	(* e (sin v))
85.0ms	(* e (cos v))

simplify8.5s

Counts

74 → 74

Iterations

Useful iterations: done (8.5s)

Iter	Nodes	Cost
0	124	767
1	3295	729
done	5000	621

prune304.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(log1p (/ (* e (sin v)) (fma (cos v) e 1.0)))
1.0ms	(expm1 (log1p (/ (* e (sin v)) (fma (cos v) e 1.0))))
18.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
10.0ms	(* e (sin v))

series670.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(log1p (/ (* e (sin v)) (fma (cos v) e 1.0)))
198.0ms	(expm1 (log1p (/ (* e (sin v)) (fma (cos v) e 1.0))))
138.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
74.0ms	(* e (sin v))

simplify8.3s

Counts

77 → 77

Iterations

Useful iterations: done (8.3s)

Iter	Nodes	Cost
0	134	1145
1	3668	1081
done	5000	959

prune411.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

55.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
14.0ms	(* e (cos v))
39.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
21.0ms	(* (sqrt e) (sin v))

series361.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
44.0ms	(* e (cos v))
56.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
94.0ms	(* (sqrt e) (sin v))

simplify738.0ms

Counts

106 → 106

Iterations

Useful iterations: done (728.0ms)

Iter	Nodes	Cost
0	199	1405
done	5000	1117

prune450.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt e) (cbrt e))
0.7b	(cbrt e)
0.7b	(cbrt e)
0.7b	(cbrt e)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

19.0ms	(* (cbrt e) (cbrt e))
1.0ms	(cbrt e)
1.0ms	(cbrt e)
2.0ms	(cbrt e)

series1.3s

Counts

4 → 12

Calls

4 calls:

321.0ms	(* (cbrt e) (cbrt e))
289.0ms	(cbrt e)
321.0ms	(cbrt e)
332.0ms	(cbrt e)

simplify10.2s

Counts

93 → 93

Iterations

Useful iterations: done (10.2s)

Iter	Nodes	Cost
0	65	554
1	407	443
done	5000	408

prune518.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	11	12
done	11	12

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	1515×	body	1280	valid
1.0s	4245×	body	80	valid
777.0ms	1260×	body	640	valid
213.0ms	661×	body	320	valid
150.0ms	8000×	pre	80	true
70.0ms	319×	body	160	valid