Details

sample166.0ms

Algorithm

intervals

Results

47.0ms	138×	body	80	valid
44.0ms	40×	body	1280	valid
35.0ms	46×	body	640	valid
13.0ms	22×	body	320	valid
4.0ms	10×	body	160	valid

simplify927.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	43	16
3	93	16
4	173	16
5	277	16
6	314	16
done	314	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize36.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
13.5b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`associate-*l/`
4×	`pow-prod-down`
3×	`associate-/r*` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

3 → 79

Calls

3 calls:

142.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
60.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
133.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series321.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
72.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
151.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.7s

Counts

88 → 88

Iterations

Useful iterations: 2 (512.0ms)

Iter	Nodes	Cost
0	163	1474
1	413	1285
2	2715	1064
done	5001	1064

prune568.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-*l/`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 98

Calls

3 calls:

31.0ms	(/ (sin (* x 0.5)) (sin x))
142.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
56.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ (sin (* x 0.5)) (sin x))
147.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* x 0.5)) (sin x)))
70.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify3.9s

Counts

107 → 107

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	183	1718
1	492	1676
2	3232	1342
done	5000	1292

prune726.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) 3.0)
0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* x 0.5)) (sin x)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
3×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

22.0ms	(/ (sin (* 0.5 x)) 3.0)
29.0ms	(/ (sin (* x 0.5)) (sin x))
67.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* x 0.5)) (sin x)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (sin (* 0.5 x)) 3.0)
73.0ms	(/ (sin (* x 0.5)) (sin x))
129.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* x 0.5)) (sin x)))

simplify2.6s

Counts

102 → 102

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	187	1661
1	469	1594
2	2834	1308
done	5000	1257

prune660.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.2b	(* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (sin (* x 0.5)))
13.5b	(/ (* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (sin (* x 0.5))) (sin x))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`associate-/l*`
3×	`associate-r` `pow-prod-down` `add-log-exp`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num` `div-inv`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

23.0ms	(/ (sin (* x 0.5)) 3.0)
76.0ms	(* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (sin (* x 0.5)))
81.0ms	(/ (* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (sin (* x 0.5))) (sin x))

series309.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (sin (* x 0.5)) 3.0)
98.0ms	(* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (sin (* x 0.5)))
147.0ms	(/ (* (* 8.0 (/ (sin (* x 0.5)) 3.0)) (sin (* x 0.5))) (sin x))

simplify2.2s

Counts

83 → 83

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	163	1417
1	401	1383
2	2477	1114
done	5001	981

prune466.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.6s	1544×	body	1280	valid
1.1s	1259×	body	640	valid
920.0ms	4260×	body	80	valid
853.0ms	625×	body	320	valid
171.0ms	312×	body	160	valid