Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	45×	body	1280	valid
8.0ms	44×	body	640	valid
7.0ms	168×	body	80	valid
2.0ms	13×	body	320	valid
1.0ms	11×	body	160	valid

simplify35.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
2.1b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

3.0ms	(/ (sin y) y)
7.0ms	(* x (/ (sin y) y))
5.0ms	(/ (* x (/ (sin y) y)) z)

series167.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (sin y) y)
57.0ms	(* x (/ (sin y) y))
77.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.2s

Counts

98 → 98

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	145	935
1	332	898
2	1070	782
done	5000	782

prune250.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
2.2b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 111

Calls

3 calls:

3.0ms	(/ (sin y) y)
8.0ms	(* x (/ (sin y) y))
17.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series167.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (sin y) y)
60.0ms	(* x (/ (sin y) y))
77.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify1.4s

Counts

120 → 120

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	185	1320
1	484	1174
2	1606	966
done	5001	966

prune264.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
2.1b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite39.0ms

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×	`add-cube-cbrt` `times-frac` `associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r*` `un-div-inv` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

13.0ms	(* x (* (sin y) (/ 1 y)))
9.0ms	(* (sin y) (/ 1 y))
14.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series171.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* x (* (sin y) (/ 1 y)))
34.0ms	(* (sin y) (/ 1 y))
79.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify947.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	164	1168
1	420	940
2	1416	734
done	5001	734

prune218.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

7.0ms	(/ (/ (sin y) y) z)
3.0ms	(/ (sin y) y)
20.0ms	(* x (/ (/ (sin y) y) z))

series148.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (/ (sin y) y) z)
28.0ms	(/ (sin y) y)
78.0ms	(* x (/ (/ (sin y) y) z))

simplify935.0ms

Counts

177 → 177

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	254	2125
1	615	2001
2	1830	1871
done	5000	1871

prune480.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes298.0ms

Accuracy

89.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch93.0ms

Steps

Iters	Range		Point
9	6.192658025288593e+63	3.5080349755906624e+70	5.7247708611607825e+66
6	-2.2623457567027846e+42	-1.6441178453559935e+41	-4.997488618203274e+41

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	36
1	26	27
done	26	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

285.0ms	1021×	body	1280	valid
272.0ms	5814×	body	80	valid
208.0ms	1071×	body	640	valid
72.0ms	544×	body	320	valid
27.0ms	291×	body	160	valid