Details

sample74.0ms

Algorithm

intervals

Results

15.0ms	39×	body	1280	valid
11.0ms	175×	body	80	valid
9.0ms	36×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	14×	body	160	valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
3.6b	(/ (* x (/ (sin y) y)) z)

rewrite64.0ms

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:

16.0ms	(* x (/ (sin y) y))
10.0ms	(/ (sin y) y)
35.0ms	(/ (* x (/ (sin y) y)) z)

series242.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)
135.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.8s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	145	935
1	323	898
2	1027	782
3	4743	779
done	5002	779

prune372.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
1.7b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`add-cube-cbrt` `*-un-lft-identity`
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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 170

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
91.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series959.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt z)
281.0ms	(cbrt z)
261.0ms	(cbrt z)
126.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify2.7s

Counts

182 → 182

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	310	2988
1	955	2822
2	4024	2240
done	5001	2115

prune801.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

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:

23.0ms	(/ (/ (sin y) y) z)
15.0ms	(/ (sin y) y)
54.0ms	(* x (/ (/ (sin y) y) z))

series226.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (/ (sin y) y) z)
30.0ms	(/ (sin y) y)
127.0ms	(* x (/ (/ (sin y) y) z))

simplify1.9s

Counts

177 → 177

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	254	2125
1	590	2001
2	1622	1871
done	5001	1868

prune743.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.2b	(/ y (sin y))
3.1b	(/ x (* z (/ y (sin y))))

rewrite82.0ms

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-/l*`
5×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
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` `associate-/r/` `*-commutative`

Counts

3 → 89

Calls

3 calls:

40.0ms	(* z (/ y (sin y)))
12.0ms	(/ y (sin y))
24.0ms	(/ x (* z (/ y (sin y))))

series290.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(* z (/ y (sin y)))
34.0ms	(/ y (sin y))
138.0ms	(/ x (* z (/ y (sin y))))

simplify3.1s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	145	935
1	315	901
2	969	784
3	4376	781
done	5001	781

prune252.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes450.0ms

Accuracy

91.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	42
1	20	35
done	20	35

end0.0ms

sample2.7s

Algorithm

intervals

Results

818.0ms	1015×	body	640	valid
688.0ms	5799×	body	80	valid
519.0ms	1042×	body	1280	valid
140.0ms	558×	body	320	valid
49.0ms	318×	body	160	valid