Details

analyze407.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

sample41.0ms

Algorithm

intervals

Results

10.0ms	32×	body	1280	valid
8.0ms	169×	body	80	valid
7.0ms	33×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	25×	body	80	invalid
1.0ms	4×	body	320	invalid
0.0ms	2×	body	640	invalid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	160	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	8
1	67	8

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 4.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
4.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
6×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `*-commutative_binary64`

Counts

3 → 83

Calls

3 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)
7.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series37.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms	(/.f64 (sin.f64 y) y)
17.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4952	739
1	4952	739

prune63.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b	(/.f64 (sin.f64 y) y)
2.1b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
43×	`associate-r_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 162

Calls

3 calls:

7.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
5.0ms	(/.f64 (sin.f64 y) y)
17.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

series35.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
5.0ms	(/.f64 (sin.f64 y) y)
22.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

simplify78.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4974	1831
1	4974	1831

prune90.0ms

Filtered

135 candidates to 171 candidates (-26.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	170	8	178

Merged error: 0b

Counts

178 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.3b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac_binary64`
238×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
60×	`associate-/r*_binary64`
23×	`div-inv_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/l*_binary64`
6×	`associate-/r/_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 293

Calls

3 calls:

7.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
13.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)
18.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5253	4565

prune118.0ms

Filtered

255 candidates to 302 candidates (-18.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	299	3	302
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	304	6	310

Merged error: 0b

Counts

310 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.4b	(*.f64 z (/.f64 y (sin.f64 y)))
2.3b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/r/_binary64` `*-commutative_binary64`

Counts

3 → 83

Calls

3 calls:

4.0ms	(/.f64 y (sin.f64 y))
9.0ms	(*.f64 z (/.f64 y (sin.f64 y)))
8.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

series36.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 y (sin.f64 y))
13.0ms	(*.f64 z (/.f64 y (sin.f64 y)))
17.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5030	743

prune29.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Merged error: 0b

Counts

98 → 6

regimes121.0ms

Accuracy

45.8% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.1b

bsearch19.0ms

Steps

Iters	Range		Point
6	3.901718975931269e+43	3.368816327631906e+44	1.2859005511418645e+44

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	20
1	15	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

313.0ms	985×	body	1280	valid
274.0ms	5315×	body	80	valid
202.0ms	956×	body	640	valid
74.0ms	499×	body	320	valid
26.0ms	245×	body	160	valid
26.0ms	515×	body	80	invalid
8.0ms	57×	body	320	invalid
8.0ms	40×	body	640	invalid
3.0ms	32×	body	160	invalid
3.0ms	9×	body	1280	invalid

Details

analyze407.0ms

sample41.0ms

simplify6.0ms

prune2.0ms

localize7.0ms

rewrite23.0ms

series37.0ms

simplify76.0ms

prune63.0ms

localize8.0ms

rewrite37.0ms

series35.0ms

simplify78.0ms

prune90.0ms

localize7.0ms

rewrite42.0ms

series42.0ms

simplify90.0ms

prune118.0ms

localize7.0ms

rewrite24.0ms

series36.0ms

simplify49.0ms

prune29.0ms

regimes121.0ms

bsearch19.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling