Details

sample45.0ms

Algorithm

intervals

Results

10.0ms	31×	body	1280	valid
9.0ms	171×	body	80	valid
8.0ms	35×	body	640	valid
5.0ms	30×	body	320	valid
1.0ms	10×	body	160	valid

simplify67.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.4b	(/ (* x (/ (sin y) y)) z)

rewrite66.0ms

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:

30.0ms	(* x (/ (sin y) y))
15.0ms	(/ (sin y) y)
15.0ms	(/ (* x (/ (sin y) y)) z)

series255.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)
115.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.6s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.8s)

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

prune394.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.5b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite139.0ms

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:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
111.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt z)
278.0ms	(cbrt z)
351.0ms	(cbrt z)
163.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify2.4s

Counts

182 → 182

Iterations

Useful iterations: done (2.4s)

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

prune833.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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:

31.0ms	(* z (/ y (sin y)))
11.0ms	(/ y (sin y))
36.0ms	(/ x (* z (/ y (sin y))))

series267.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(* z (/ y (sin y)))
39.0ms	(/ y (sin y))
116.0ms	(/ x (* z (/ y (sin y))))

simplify3.2s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.7s)

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

prune318.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
1.5b	(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) (/ (sin y) y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
28×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
9×	`pow1` `cbrt-undiv` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-*r/` `pow-prod-down`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `div-inv`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
71.0ms	(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) (/ (sin y) y)))

series993.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt x)
273.0ms	(cbrt x)
281.0ms	(cbrt x)
167.0ms	(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) (/ (sin y) y)))

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	123	1120
1	323	1081
2	1281	717
done	5000	580

prune251.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes314.0ms

Accuracy

91.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch97.0ms

Steps

Iters	Range		Point
5	8.478122838317142e+68	2.158522682083874e+69	1.127503885584835e+69
9	-1.4395926211205171e+28	-1.3951263989060736e+22	-1.303123016424891e+26

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	32
1	19	25
done	19	25

end0.0ms

sample2.3s

Algorithm

intervals

Results

886.0ms	5872×	body	80	valid
451.0ms	997×	body	1280	valid
362.0ms	989×	body	640	valid
205.0ms	536×	body	320	valid
47.0ms	305×	body	160	valid