Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	35×	body	1280	valid
7.0ms	185×	body	80	valid
7.0ms	41×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
4.3b	(/ (* x (/ (sin y) y)) z)

rewrite36.0ms

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×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

13.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
13.0ms	(/ (* x (/ (sin y) y)) z)

series134.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* x (/ (sin y) y))
22.0ms	(/ (sin y) y)
61.0ms	(/ (* x (/ (sin y) y)) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune174.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

13.0ms	(/ (/ (sin y) y) z)
8.0ms	(/ (sin y) y)
30.0ms	(* x (/ (/ (sin y) y) z))

series116.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (/ (sin y) y) z)
22.0ms	(/ (sin y) y)
61.0ms	(* x (/ (/ (sin y) y) z))

simplify67.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	605	1176
1	2862	1100
2	5001	1100

prune384.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 293

Calls

3 calls:

8.0ms	(/ z (/ (sin y) y))
8.0ms	(/ (sin y) y)
20.0ms	(/ x (/ z (/ (sin y) y)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ z (/ (sin y) y))
22.0ms	(/ (sin y) y)
78.0ms	(/ x (/ z (/ (sin y) y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1110	2950
1	5001	2830

prune750.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))
1.2b	(/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
22×	`cbrt-prod`
16×	`cbrt-div`
14×	`add-cbrt-cube`
13×	`associate-/r/`
11×	`pow1`
9×	`cbrt-undiv` `div-exp`
8×	`pow1/3` `associate-/r*`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`frac-times` `associate-r/` `associate-l/` `add-log-exp` `unswap-sqr`
3×	`associate-/l*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `*-commutative`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
10.0ms	(* (cbrt z) (cbrt z))
24.0ms	(/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt z)
171.0ms	(cbrt z)
193.0ms	(* (cbrt z) (cbrt z))
119.0ms	(/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	504	1230
1	2536	1013
2	5003	959

prune357.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

81.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch58.0ms

Steps

Iters	Range		Point
4	4.1351342342526247e-53	8.2676017341011695e-53	8.137178980191326e-53
9	-9.983389862352356e-25	-4.298748600199863e-30	-8.397767914593292e-25

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

260.0ms	5895×	body	80	valid
259.0ms	947×	body	1280	valid
184.0ms	1011×	body	640	valid
72.0ms	575×	body	320	valid
26.0ms	288×	body	160	valid