Details

sample65.0ms

Algorithm

intervals

Results

17.0ms	38×	body	1280	valid
13.0ms	183×	body	80	valid
11.0ms	36×	body	640	valid
5.0ms	26×	body	320	valid
1.0ms	7×	body	160	valid

simplify77.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
6	78
5	76
4	65
3	40
2	22
1	12
0	7

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
3.1b	(/ (* x (/ (sin y) y)) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

13.0ms	(/ (sin y) y)
20.0ms	(* x (/ (sin y) y))
11.0ms	(/ (* x (/ (sin y) y)) z)

series254.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (sin y) y)
80.0ms	(* x (/ (sin y) y))
119.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1181
1	339
0	139

prune534.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
3.2b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

13.0ms	(/ (sin y) y)
14.0ms	(* x (/ (sin y) y))
34.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series227.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (sin y) y)
60.0ms	(* x (/ (sin y) y))
121.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify2.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1631
1	475
0	179

prune524.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
3.7b	(* (/ x z) (/ (sin y) y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

13.0ms	(/ (sin y) y)
36.0ms	(* (/ x z) (/ (sin y) y))

series181.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (sin y) y)
130.0ms	(* (/ x z) (/ (sin y) y))

simplify1.7s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1509
1	387
0	140

prune497.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) z)
8.8b	(cbrt (* x (/ (sin y) y)))
8.8b	(cbrt (* x (/ (sin y) y)))
8.8b	(cbrt (* x (/ (sin y) y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
15×	`cbrt-div`
13×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`associate-/l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`frac-times` `associate-*l/`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `cbrt-undiv` `associate-/r*` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 60

Calls

4 calls:

60.0ms	(/ (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) z)
6.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))
5.0ms	(cbrt (* x (/ (sin y) y)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) z)
194.0ms	(cbrt (* x (/ (sin y) y)))
175.0ms	(cbrt (* x (/ (sin y) y)))
189.0ms	(cbrt (* x (/ (sin y) y)))

simplify2.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5050
3	3720
2	862
1	256
0	105

prune439.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes449.0ms

Accuracy

84.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.7b

bsearch115.0ms

Steps

Iters	Range		Point
10	2.5535742070497435e+96	3.1068034585604e+112	3.866221994180264e+104
8	-6.062265789515972e+43	-1.8236516507406991e+40	-2.1934061023014456e+43

simplify3.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample2.3s

Algorithm

intervals

Results

686.0ms	1046×	body	640	valid
641.0ms	5875×	body	80	valid
476.0ms	986×	body	1280	valid
117.0ms	537×	body	320	valid
82.0ms	306×	body	160	valid