Details

sample329.0ms

Algorithm

intervals

Results

115.0ms	44×	body	1280	valid
35.0ms	36×	body	640	valid
33.0ms	142×	body	80	valid
14.0ms	20×	body	320	valid
13.0ms	256×	pre	80	true
6.0ms	14×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (sin v))
0.2b	(* e (cos v))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

13.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
7.0ms	(* e (sin v))
12.0ms	(* e (cos v))

series275.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
53.0ms	(* e (sin v))
87.0ms	(* e (cos v))

simplify2.1s

Counts

74 → 74

Iterations

Iter	Nodes
3	3222
2	782
1	270
0	117

prune692.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (/ (sin v) (/ (fma e (cos v) 1) e)))
0.0b	(log1p (expm1 (/ (sin v) (/ (fma e (cos v) 1) e))))
0.0b	(/ (fma e (cos v) 1) e)
0.3b	(/ (sin v) (/ (fma e (cos v) 1) e))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

1.0ms	(expm1 (/ (sin v) (/ (fma e (cos v) 1) e)))
0.0ms	(log1p (expm1 (/ (sin v) (/ (fma e (cos v) 1) e))))
7.0ms	(/ (fma e (cos v) 1) e)
17.0ms	(/ (sin v) (/ (fma e (cos v) 1) e))

series492.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(expm1 (/ (sin v) (/ (fma e (cos v) 1) e)))
136.0ms	(log1p (expm1 (/ (sin v) (/ (fma e (cos v) 1) e))))
66.0ms	(/ (fma e (cos v) 1) e)
135.0ms	(/ (sin v) (/ (fma e (cos v) 1) e))

simplify4.4s

Counts

135 → 135

Iterations

Iter	Nodes
3	5412
2	1581
1	528
0	219

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
0.2b	(* e (cos v))
0.2b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
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` `associate-/r` `times-frac` `div-exp` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 94

Calls

4 calls:

42.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
7.0ms	(* e (cos v))
9.0ms	(* (sqrt e) (sin v))
25.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
65.0ms	(* e (cos v))
106.0ms	(* (sqrt e) (sin v))
51.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify9.5s

Counts

106 → 106

Iterations

Iter	Nodes
3	10164
2	1801
1	503
0	192

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* e (cos v))
0.2b	(* (sqrt e) (sin v))
0.2b	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (* (sqrt e) (sin v))))
0.3b	(* (sqrt (sqrt e)) (* (sqrt e) (sin v)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

27×	`associate-l`
22×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 99

Calls

4 calls:

9.0ms	(* e (cos v))
18.0ms	(* (sqrt e) (sin v))
83.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (* (sqrt e) (sin v))))
47.0ms	(* (sqrt (sqrt e)) (* (sqrt e) (sin v)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* e (cos v))
119.0ms	(* (sqrt e) (sin v))
77.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (* (sqrt e) (sin v))))
157.0ms	(* (sqrt (sqrt e)) (* (sqrt e) (sin v)))

simplify2.1s

Counts

111 → 111

Iterations

Iter	Nodes
3	4425
2	1252
1	390
0	159

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.8s	1516×	body	1280	valid
1.2s	1284×	body	640	valid
804.0ms	4250×	body	80	valid
509.0ms	630×	body	320	valid
385.0ms	8000×	pre	80	true
155.0ms	320×	body	160	valid