Details

analyze425.0ms

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

sample38.0ms

Algorithm

intervals

Results

9.0ms	174×	body	80	valid
9.0ms	27×	body	1280	valid
6.0ms	31×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	13×	body	80	invalid
1.0ms	3×	body	640	invalid
0.0ms	2×	body	320	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	67	8
1	67	8

prune3.0ms

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: 2.9b

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)
2.8b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite25.0ms

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))
4.0ms	(/.f64 (sin.f64 y) y)
10.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series30.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
16.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4952	739
1	4952	739

prune94.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
0.3b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
2.8b	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac_binary64`
54×	`add-exp-log_binary64`
44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
34×	`add-cbrt-cube_binary64`
26×	`div-exp_binary64`
14×	`cbrt-undiv_binary64`
13×	`associate-r_binary64`
12×	`associate-/r*_binary64`
10×	`prod-exp_binary64`
9×	`associate-/l*_binary64`
8×	`div-inv_binary64`
7×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `associate-*r/_binary64` `associate-/r/_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 147

Calls

4 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
9.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
7.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)
19.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
23.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4910	1494
1	4910	1494

prune120.0ms

Filtered

98 candidates to 159 candidates (-62.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	0	5	5
Picked	0	1	1
Done	1	0	1
Total	158	8	166

Merged error: 0b

Counts

166 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.3b	(/.f64 1 (/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y)))
1.3b	(/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

2564×	`times-frac_binary64`
1114×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
190×	`associate-/r*_binary64`
139×	`div-inv_binary64`
61×	`add-exp-log_binary64`
43×	`div-exp_binary64`
35×	`add-cbrt-cube_binary64`
22×	`cbrt-undiv_binary64`
19×	`associate-/l*_binary64`
6×	`associate-/r/_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 974

Calls

3 calls:

4.0ms	(/.f64 (sin.f64 y) y)
39.0ms	(/.f64 1 (/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y)))
11.0ms	(/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))

series50.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (sin.f64 y) y)
15.0ms	(/.f64 1 (/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y)))
31.0ms	(/.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))

simplify164.0ms

Algorithm

egg-herbie

Counts

983 → 983

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4988	20126
1	4988	20126

prune727.0ms

Filtered

656 candidates to 983 candidates (-49.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	981	2	983
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	984	7	991

Merged error: 0b

Counts

991 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(cbrt.f64 z)
1.1b	(/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) x))
1.5b	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) x)) (/.f64 (cbrt.f64 1) (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y))))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

1460×	`times-frac_binary64`
774×	`add-sqr-sqrt_binary64`
609×	`*-un-lft-identity_binary64`
594×	`add-cube-cbrt_binary64`
537×	`cbrt-prod_binary64`
503×	`associate-r_binary64`
183×	`add-exp-log_binary64`
98×	`add-cbrt-cube_binary64`
92×	`cbrt-undiv_binary64` `div-exp_binary64`
53×	`cbrt-unprod_binary64` `prod-exp_binary64`
48×	`unswap-sqr_binary64` `div-inv_binary64`
12×	`associate-l_binary64`
9×	`associate-/r/_binary64`
7×	`associate-/r*_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 691

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
11.0ms	(/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) x))
180.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) x)) (/.f64 (cbrt.f64 1) (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 z)
20.0ms	(cbrt.f64 z)
28.0ms	(/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) x))
20.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) x)) (/.f64 (cbrt.f64 1) (/.f64 (cbrt.f64 z) (/.f64 (sin.f64 y) y))))

simplify146.0ms

Algorithm

egg-herbie

Counts

703 → 703

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5473	16498

prune1.4s

Filtered

575 candidates to 703 candidates (-22.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	702	1	703
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	703	7	710

Merged error: 0b

Counts

710 → 7

regimes429.0ms

Accuracy

90.6% (0.3b remaining)

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

bsearch41.0ms

Steps

Iters	Range		Point
9	1.0911525166905225e-16	2.7964935841729734e-07	3.946338514026135e-10
6	-1.831166251204459e+82	-2.498656235998699e+81	-3.2266964228689376e+81

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	19	25

end0.0ms

sample1.2s

Algorithm

intervals

Results

314.0ms	1015×	body	1280	valid
272.0ms	5220×	body	80	valid
211.0ms	995×	body	640	valid
76.0ms	521×	body	320	valid
26.0ms	249×	body	160	valid
25.0ms	492×	body	80	invalid
11.0ms	56×	body	640	invalid
8.0ms	53×	body	320	invalid
3.0ms	27×	body	160	invalid
2.0ms	6×	body	1280	invalid

Details

analyze425.0ms

sample38.0ms

simplify6.0ms

prune3.0ms

localize7.0ms

rewrite25.0ms

series30.0ms

simplify59.0ms

prune94.0ms

localize9.0ms

rewrite34.0ms

series58.0ms

simplify67.0ms

prune120.0ms

localize8.0ms

rewrite150.0ms

series50.0ms

simplify164.0ms

prune727.0ms

localize16.0ms

rewrite271.0ms

series83.0ms

simplify146.0ms

prune1.4s

regimes429.0ms

bsearch41.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling