Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	186×	body	80	valid
18.0ms	30×	body	1280	valid
9.0ms	22×	body	640	valid
6.0ms	21×	body	320	valid
3.0ms	15×	body	160	valid

simplify87.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ (* x (/ (sin y) y)) z)

rewrite31.0ms

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:

12.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)
10.0ms	(/ (* x (/ (sin y) y)) z)

series214.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* x (/ (sin y) y))
43.0ms	(/ (sin y) y)
101.0ms	(/ (* x (/ (sin y) y)) z)

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1188
1	338
0	139

prune510.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.4b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`*-un-lft-identity` `add-cube-cbrt`
52×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 162

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
83.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt z)
278.0ms	(cbrt z)
277.0ms	(cbrt z)
173.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify2.5s

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
2	4412
1	1079
0	306

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.8b	(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) y))
1.0b	(/ (* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) y)) (cbrt z))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
62.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) y))
38.0ms	(/ (* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) y)) (cbrt z))

series1.1s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt z)
432.0ms	(cbrt z)
224.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) y))
178.0ms	(/ (* (/ x (* (cbrt z) (cbrt z))) (/ (sin y) y)) (cbrt z))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5007
2	2167
1	567
0	193

prune753.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
2.7b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

38.0ms	(* x (* (sin y) (/ 1 y)))
17.0ms	(* (sin y) (/ 1 y))
37.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series208.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* x (* (sin y) (/ 1 y)))
47.0ms	(* (sin y) (/ 1 y))
98.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1536
1	422
0	158

prune401.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes561.0ms

Accuracy

94.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.1b

bsearch149.0ms

Steps

Iters	Range		Point
10	2.927545137912998e+21	2.042208307451835e+33	6.880717961376388e+25
9	-1.137268005656622e-18	-9.180461641993722e-25	-4.462011006316163e-19

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample2.4s

Algorithm

intervals

Results

976.0ms	5902×	body	80	valid
493.0ms	965×	body	1280	valid
374.0ms	1001×	body	640	valid
168.0ms	585×	body	320	valid
49.0ms	308×	body	160	valid