Details

sample58.0ms

Algorithm

intervals

Results

20.0ms	30×	body	1280	valid
10.0ms	186×	body	80	valid
9.0ms	42×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	48
2	24
1	12
0	7

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
3.0b	(* x (/ (/ (sin y) y) z))

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 162

Calls

3 calls:

11.0ms	(/ (/ (sin y) y) z)
6.0ms	(/ (sin y) y)
325.0ms	(* x (/ (/ (sin y) y) z))

series225.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (/ (sin y) y) z)
44.0ms	(/ (sin y) y)
120.0ms	(* x (/ (/ (sin y) y) z))

simplify1.2s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	3314
1	666
0	248

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.2b	(* (/ (sin y) y) (/ 1 z))
3.0b	(* x (* (/ (sin y) y) (/ 1 z)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
34×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp`
17×	`div-exp`
16×	`associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
10×	`pow1`
9×	`cbrt-undiv`
6×	`associate-*r/` `unswap-sqr`
4×	`rec-exp` `1-exp` `pow-prod-down`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`clear-num` `frac-2neg`

Counts

3 → 116

Calls

3 calls:

6.0ms	(/ (sin y) y)
27.0ms	(* (/ (sin y) y) (/ 1 z))
33.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (sin y) y)
45.0ms	(* (/ (sin y) y) (/ 1 z))
106.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify2.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	3482
1	560
0	193

prune602.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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-l`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-r` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

16.0ms	(* (/ (sin y) y) x)
6.0ms	(/ (sin y) y)
11.0ms	(/ (* (/ (sin y) y) x) z)

series227.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (/ (sin y) y) x)
41.0ms	(/ (sin y) y)
116.0ms	(/ (* (/ (sin y) y) x) z)

simplify922.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2030
1	345
0	140

prune445.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
3.0b	(* x (/ (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y))) z))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`add-sqr-sqrt` `times-frac`
28×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-exp-log`
14×	`add-cbrt-cube`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`pow1`
4×	`div-inv` `add-log-exp`
3×	`cbrt-undiv` `cbrt-div` `pow1/3` `div-exp` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
100.0ms	(* x (/ (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y))) z))

series689.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt (/ (sin y) y))
183.0ms	(cbrt (/ (sin y) y))
182.0ms	(cbrt (/ (sin y) y))
123.0ms	(* x (/ (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y))) z))

simplify738.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1486
1	374
0	156

prune628.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes304.0ms

Accuracy

77.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.9b

bsearch183.0ms

Steps

Iters	Range		Point
9	2.5725953662274735e-162	7.77439237274574e-157	4.5768427640578e-157
10	-2.4264054330026166e-31	-1.6989096968530682e-47	-5.09091071454698e-38

simplify3.0ms

Iterations

Iter	Nodes
done	28
2	28
1	27
0	20

end0.0ms

sample2.4s

Algorithm

intervals

Results

561.0ms	994×	body	1280	valid
543.0ms	5892×	body	80	valid
376.0ms	311×	body	160	valid
356.0ms	986×	body	640	valid
124.0ms	558×	body	320	valid