Details

sample167.0ms

Algorithm

intervals

Results

56.0ms	37×	body	640	valid
30.0ms	50×	body	1280	valid
9.0ms	28×	body	320	valid
9.0ms	124×	body	80	valid
5.0ms	256×	pre	80	true
3.0ms	17×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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))

rewrite105.0ms

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:

55.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
20.0ms	(* e (sin v))
22.0ms	(* e (cos v))

series308.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
72.0ms	(* e (sin v))
80.0ms	(* e (cos v))

simplify2.8s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	124	767
1	298	731
2	968	618
3	3641	614
done	5000	614

prune299.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite37.0ms

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:

17.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms	(* e (sin v))
9.0ms	(* e (cos v))

series280.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
70.0ms	(* e (sin v))
59.0ms	(* e (cos v))

simplify2.9s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	124	767
1	298	731
2	968	618
3	3641	614
done	5000	614

prune319.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (fma (cos v) e 1.0))
0.0b	(cbrt (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(/ (sin v) (/ (* (cbrt (fma (cos v) e 1.0)) (cbrt (fma (cos v) e 1.0))) e))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

2.0ms	(cbrt (fma (cos v) e 1.0))
6.0ms	(cbrt (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
30.0ms	(/ (sin v) (/ (* (cbrt (fma (cos v) e 1.0)) (cbrt (fma (cos v) e 1.0))) e))

series786.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (fma (cos v) e 1.0))
148.0ms	(cbrt (+ 1.0 (* e (cos v))))
45.0ms	(* e (cos v))
451.0ms	(/ (sin v) (/ (* (cbrt (fma (cos v) e 1.0)) (cbrt (fma (cos v) e 1.0))) e))

simplify1.4s

Counts

110 → 110

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	266	2269
1	636	2158
2	2022	1985
done	5000	1855

prune757.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize20.0ms

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))

rewrite156.0ms

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:

54.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
68.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
13.0ms	(* (sqrt e) (sin v))

series388.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
42.0ms	(* e (cos v))
66.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
107.0ms	(* (sqrt e) (sin v))

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	199	1405
1	519	1136
2	2030	951
done	5000	944

prune463.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes200.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	16	11
done	16	11

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.9s	1515×	body	1280	valid
997.0ms	1260×	body	640	valid
684.0ms	8000×	pre	80	true
593.0ms	4245×	body	80	valid
321.0ms	661×	body	320	valid
135.0ms	319×	body	160	valid