Details

analyze418.0ms (9.7%)

Algorithm

1×

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)

sample39.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	50×	body	1024	valid
9.0ms	162×	body	128	valid
5.0ms	32×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	14×	body	128	invalid
1.0ms	3×	body	1024	invalid
0.0ms	4×	body	256	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify12.0ms (0.3%)

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

Merged error: 2.6b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (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)
2.5b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite26.0ms (0.6%)

Algorithm

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

series246.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

122.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
88.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
37.0ms	(/.f64 (sin.f64 y) y)

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4945	1161
1	4945	1161

prune183.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0b

Counts

93 → 8

Compiler

Compiled 2979 to 1504 computations (49.5% 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))
0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
2.5b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

rewrite62.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

159×	`times-frac_binary64`
106×	`add-sqr-sqrt_binary64`
94×	`*-un-lft-identity_binary64`
92×	`add-cube-cbrt_binary64`
49×	`add-exp-log_binary64`
44×	`associate-r_binary64`
34×	`add-cbrt-cube_binary64`
19×	`associate-/r*_binary64` `div-exp_binary64`
14×	`cbrt-undiv_binary64`
11×	`div-inv_binary64`
10×	`prod-exp_binary64`
7×	`pow1_binary64` `associate-/l*_binary64`
6×	`cbrt-unprod_binary64` `rec-exp_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `un-div-inv_binary64`
1×	`pow-prod-down_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 201

Calls

4 calls:

19.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
12.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series309.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
89.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
54.0ms	(/.f64 y (sin.f64 y))
38.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify86.0ms (2%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5117	3066

prune190.0ms (4.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	213	8	221

Merged error: 0b

Counts

221 → 8

Compiler

Compiled 3884 to 1523 computations (60.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
2.5b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

rewrite65.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 293

Calls

3 calls:

19.0ms	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
7.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series265.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

124.0ms	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
87.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
53.0ms	(/.f64 y (sin.f64 y))

simplify129.0ms (3%)

Algorithm

1×	egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5146	7348

prune215.0ms (5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	302	8	310

Merged error: 0b

Counts

310 → 8

Compiler

Compiled 5926 to 1134 computations (80.9% saved)

localize7.0ms (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)
2.5b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite51.0ms (1.2%)

Algorithm

1×	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:

20.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
11.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
4.0ms	(/.f64 (sin.f64 y) y)

series222.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

126.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
61.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
35.0ms	(/.f64 (sin.f64 y) y)

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5022	2931

prune119.0ms (2.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	171	8	179

Merged error: 0b

Counts

179 → 8

Compiler

Compiled 2848 to 628 computations (77.9% saved)

regimes180.0ms (4.2%)

Compiler: Compiled 522 to 482 computations (7.7% saved)

bsearch30.0ms (0.7%)

Steps

Iters	Range		Point
1	5.697382058814798e-163	6.258061180873807e-163	6.117891400359054e-163
8	-9.402066753271703e+38	-2.5054382084484887e+35	-2.2397789558121984e+36

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	18	48

end0.0ms (0%)

sample1.2s (29%)

Algorithm

1×

intervals

Results

333.0ms	1319×	body	1024	valid
299.0ms	5482×	body	128	valid
128.0ms	783×	body	512	valid
44.0ms	412×	body	256	valid
30.0ms	529×	body	128	invalid
7.0ms	43×	body	512	invalid
6.0ms	53×	body	256	invalid
6.0ms	24×	body	1024	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 145 to 108 computations (25.5% saved)

Details

analyze418.0ms (9.7%)

sample39.0ms (0.9%)

simplify12.0ms (0.3%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.6%)

series246.0ms (5.7%)

simplify83.0ms (1.9%)

prune183.0ms (4.3%)

localize8.0ms (0.2%)

rewrite62.0ms (1.4%)

series309.0ms (7.2%)

simplify86.0ms (2%)

prune190.0ms (4.4%)

localize7.0ms (0.2%)

rewrite65.0ms (1.5%)

series265.0ms (6.2%)

simplify129.0ms (3%)

prune215.0ms (5%)

localize7.0ms (0.2%)

rewrite51.0ms (1.2%)

series222.0ms (5.2%)

simplify81.0ms (1.9%)

prune119.0ms (2.8%)

regimes180.0ms (4.2%)

bsearch30.0ms (0.7%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (29%)

Profiling