Details

analyze495.0ms (12.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	48
1	235	48
0	3	3
1	3	3

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample34.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	40×	body	1024	valid
9.0ms	179×	body	128	valid
4.0ms	25×	body	512	valid
1.0ms	11×	body	256	valid
1.0ms	17×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	3×	body	256	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune2.0ms (0.1%)

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

Error

2.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_15445`
22×	`times-frac_binary64_15429`
21×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
19×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
13×	`associate-r_binary64_15363`
6×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `associate-/r*_binary64_15367`
5×	`pow1_binary64_15484`
4×	`associate-/l*_binary64_15368` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456`
3×	`div-inv_binary64_15420` `associate-l_binary64_15364` `add-log-exp_binary64_15462`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `unswap-sqr_binary64_15391` `associate-*r/_binary64_15365`
1×	`*-commutative_binary64_15354` `associate-/l/_binary64_15370` `pow-prod-down_binary64_15494`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
3.0ms	(/.f64 (sin.f64 y) y)

series145.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

68.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
56.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
21.0ms	(/.f64 (sin.f64 y) y)

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5174	1158

prune69.0ms (1.7%)

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

Error

0.0b

Counts

93 → 7

Compiler

Compiled 1239 to 350 computations (71.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))
2.3b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

rewrite247.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Rules

159×	`times-frac_binary64_15429`
106×	`add-sqr-sqrt_binary64_15445`
94×	`*-un-lft-identity_binary64_15423`
92×	`add-cube-cbrt_binary64_15458`
64×	`add-exp-log_binary64_15461`
44×	`associate-r_binary64_15363`
34×	`add-cbrt-cube_binary64_15459`
30×	`div-exp_binary64_15474`
19×	`associate-/r*_binary64_15367`
14×	`cbrt-undiv_binary64_15457` `prod-exp_binary64_15472`
11×	`div-inv_binary64_15420`
7×	`pow1_binary64_15484` `associate-/l*_binary64_15368`
6×	`rec-exp_binary64_15473` `1-exp_binary64_15467` `cbrt-unprod_binary64_15456`
5×	`unswap-sqr_binary64_15391`
4×	`add-log-exp_binary64_15462`
3×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-l_binary64_15364`
2×	`associate-/l/_binary64_15370` `associate-/r/_binary64_15369` `associate-*r/_binary64_15365` `un-div-inv_binary64_15421`
1×	`*-commutative_binary64_15354` `inv-pow_binary64_15508` `pow-flip_binary64_15497` `pow-prod-down_binary64_15494`

Counts

4 → 207

Calls

4 calls:

197.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
17.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
11.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
3.0ms	(/.f64 y (sin.f64 y))

series171.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
46.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
34.0ms	(/.f64 y (sin.f64 y))
20.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5033	3132

prune148.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	219	7	226

Error

0.0b

Counts

226 → 7

Compiler

Compiled 3417 to 1120 computations (67.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))
2.3b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_15461`
31×	`add-cbrt-cube_binary64_15459`
22×	`prod-exp_binary64_15472`
21×	`add-sqr-sqrt_binary64_15445`
15×	`*-un-lft-identity_binary64_15423`
14×	`times-frac_binary64_15429` `add-cube-cbrt_binary64_15458` `associate-r_binary64_15363`
12×	`div-exp_binary64_15474` `cbrt-unprod_binary64_15456`
10×	`pow1_binary64_15484`
7×	`cbrt-undiv_binary64_15457` `associate-*r/_binary64_15365`
6×	`associate-l_binary64_15364`
4×	`pow-prod-down_binary64_15494`
3×	`rec-exp_binary64_15473` `1-exp_binary64_15467` `associate-/r*_binary64_15367` `unswap-sqr_binary64_15391` `un-div-inv_binary64_15421` `add-log-exp_binary64_15462`
2×	`*-commutative_binary64_15354` `associate-/l/_binary64_15370` `div-inv_binary64_15420`
1×	`frac-2neg_binary64_15434` `associate-/l*_binary64_15368` `clear-num_binary64_15422`

Counts

3 → 89

Calls

3 calls:

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

series140.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

72.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
46.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
22.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4959	1103
1	4959	1103

prune59.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Error

0.0b

Counts

105 → 7

Compiler

Compiled 1227 to 408 computations (66.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b	(/.f64 (sin.f64 y) y)
2.4b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite45.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64_15429`
98×	`add-sqr-sqrt_binary64_15445`
89×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
43×	`associate-r_binary64_15363`
19×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
16×	`associate-/l*_binary64_15368`
10×	`div-inv_binary64_15420`
7×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
6×	`associate-/r*_binary64_15367`
5×	`pow1_binary64_15484`
3×	`prod-exp_binary64_15472` `unswap-sqr_binary64_15391` `cbrt-unprod_binary64_15456` `associate-l_binary64_15364` `add-log-exp_binary64_15462`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422`
1×	`-commutative_binary64_15354` `associate-/l/_binary64_15370` `pow-prod-down_binary64_15494` `associate-r/_binary64_15365`

Counts

3 → 162

Calls

3 calls:

16.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
7.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
4.0ms	(/.f64 (sin.f64 y) y)

series118.0ms (3%)

Counts

3 → 9

Calls

3 calls:

67.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
32.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
19.0ms	(/.f64 (sin.f64 y) y)

simplify93.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4974	2931
1	4974	2931

prune108.0ms (2.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	171	7	178

Error

Counts

178 → 7

Compiler

Compiled 2756 to 555 computations (79.9% saved)

regimes363.0ms (9.1%)

Accuracy

Total 0.3b remaining (98.4%)

Threshold costs 0.3b (98.4%)

Compiler

Compiled 2317 to 1672 computations (27.8% saved)

bsearch29.0ms (0.7%)

Steps

Iters	Range		Point
8	2.8237401492920346e-07	0.004899085053745556	0.003704931003912923
2	-1.1222591026153099e+71	-1.0421224438688634e+71	-1.0688024995621273e+71

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	51
1	26	51

end0.0ms (0%)

sample1.4s (34.5%)

Algorithm

1×

intervals

Results

301.0ms	1417×	body	1024	valid
266.0ms	5396×	body	128	valid
111.0ms	791×	body	512	valid
39.0ms	391×	body	256	valid
30.0ms	524×	body	128	invalid
7.0ms	53×	body	512	invalid
4.0ms	46×	body	256	invalid
4.0ms	19×	body	1024	invalid
2.0ms	5×	body	2048	valid

Compiler

Compiled 398 to 281 computations (29.4% saved)

Details

analyze495.0ms (12.4%)

sample34.0ms (0.9%)

simplify8.0ms (0.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite22.0ms (0.6%)

series145.0ms (3.6%)

simplify64.0ms (1.6%)

prune69.0ms (1.7%)

localize8.0ms (0.2%)

rewrite247.0ms (6.2%)

series171.0ms (4.3%)

simplify87.0ms (2.2%)

prune148.0ms (3.7%)

localize8.0ms (0.2%)

rewrite33.0ms (0.8%)

series140.0ms (3.5%)

simplify94.0ms (2.4%)

prune59.0ms (1.5%)

localize6.0ms (0.2%)

rewrite45.0ms (1.1%)

series118.0ms (3%)

simplify93.0ms (2.3%)

prune108.0ms (2.7%)

regimes363.0ms (9.1%)

bsearch29.0ms (0.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (34.5%)

Profiling