Details

analyze427.0ms (8.5%)

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)

sample38.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	37×	body	1024	valid
9.0ms	171×	body	128	valid
5.0ms	20×	body	256	valid
4.0ms	28×	body	512	valid
1.0ms	10×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify165.0ms (3.3%)

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%)

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: 2.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.0b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_11219`
22×	`times-frac_binary64_11204`
21×	`add-cube-cbrt_binary64_11230` `*-un-lft-identity_binary64_11198`
19×	`add-exp-log_binary64_11233` `add-cbrt-cube_binary64_11231`
13×	`associate-r_binary64_11140`
6×	`associate-/r*_binary64_11144` `div-exp_binary64_11246` `cbrt-undiv_binary64_11229`
5×	`pow1_binary64_11256`
4×	`prod-exp_binary64_11244` `associate-/l*_binary64_11145` `cbrt-unprod_binary64_11228`
3×	`add-log-exp_binary64_11234` `div-inv_binary64_11195` `associate-l_binary64_11141`
2×	`frac-2neg_binary64_11209` `clear-num_binary64_11197` `associate-*r/_binary64_11142` `unswap-sqr_binary64_11166`
1×	`associate-/l/_binary64_11147` `pow-prod-down_binary64_11266` `*-commutative_binary64_11131`

Counts

3 → 83

Calls

3 calls:

13.0ms	(*.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)

series259.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

132.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
88.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
39.0ms	(/.f64 (sin.f64 y) y)

simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4935	1161
1	4935	1161

prune79.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

Compiler

Compiled 1247 to 355 computations (71.5% 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 1 (/.f64 y (sin.f64 y)))
0.1b	(/.f64 y (sin.f64 y))
2.0b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

rewrite65.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

159×	`times-frac_binary64_11204`
106×	`add-sqr-sqrt_binary64_11219`
94×	`*-un-lft-identity_binary64_11198`
92×	`add-cube-cbrt_binary64_11230`
64×	`add-exp-log_binary64_11233`
44×	`associate-r_binary64_11140`
34×	`add-cbrt-cube_binary64_11231`
30×	`div-exp_binary64_11246`
19×	`associate-/r*_binary64_11144`
14×	`prod-exp_binary64_11244` `cbrt-undiv_binary64_11229`
11×	`div-inv_binary64_11195`
7×	`associate-/l*_binary64_11145` `pow1_binary64_11256`
6×	`1-exp_binary64_11239` `cbrt-unprod_binary64_11228` `rec-exp_binary64_11245`
5×	`unswap-sqr_binary64_11166`
4×	`add-log-exp_binary64_11234`
3×	`frac-2neg_binary64_11209` `clear-num_binary64_11197` `associate-l_binary64_11141`
2×	`associate-/l/_binary64_11147` `un-div-inv_binary64_11196` `associate-*r/_binary64_11142` `associate-/r/_binary64_11146`
1×	`inv-pow_binary64_11280` `pow-prod-down_binary64_11266` `pow-flip_binary64_11269` `*-commutative_binary64_11131`

Counts

4 → 207

Calls

4 calls:

18.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
15.0ms	(/.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))

series330.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
93.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
58.0ms	(/.f64 y (sin.f64 y))
38.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5095	3132

prune153.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	219	8	227

Merged error: 0.0b

Counts

227 → 8

Compiler

Compiled 3430 to 1129 computations (67.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
2.0b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_11233`
31×	`add-cbrt-cube_binary64_11231`
22×	`prod-exp_binary64_11244`
21×	`add-sqr-sqrt_binary64_11219`
15×	`*-un-lft-identity_binary64_11198`
14×	`add-cube-cbrt_binary64_11230` `associate-r_binary64_11140` `times-frac_binary64_11204`
12×	`div-exp_binary64_11246` `cbrt-unprod_binary64_11228`
10×	`pow1_binary64_11256`
7×	`associate-*r/_binary64_11142` `cbrt-undiv_binary64_11229`
6×	`associate-l_binary64_11141`
4×	`pow-prod-down_binary64_11266`
3×	`add-log-exp_binary64_11234` `associate-/r*_binary64_11144` `un-div-inv_binary64_11196` `1-exp_binary64_11239` `unswap-sqr_binary64_11166` `rec-exp_binary64_11245`
2×	`associate-/l/_binary64_11147` `div-inv_binary64_11195` `*-commutative_binary64_11131`
1×	`associate-/l*_binary64_11145` `frac-2neg_binary64_11209` `clear-num_binary64_11197`

Counts

3 → 89

Calls

3 calls:

11.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
11.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
8.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

series263.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

127.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)
93.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
43.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5168	1103

prune62.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

Compiler

Compiled 1240 to 417 computations (66.4% saved)

localize8.0ms (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)
2.1b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_11233`
31×	`add-cbrt-cube_binary64_11231` `add-sqr-sqrt_binary64_11219`
28×	`times-frac_binary64_11204`
26×	`add-cube-cbrt_binary64_11230` `associate-r_binary64_11140` `*-un-lft-identity_binary64_11198`
22×	`prod-exp_binary64_11244`
12×	`div-exp_binary64_11246` `cbrt-unprod_binary64_11228`
10×	`pow1_binary64_11256`
7×	`cbrt-undiv_binary64_11229`
4×	`pow-prod-down_binary64_11266` `associate-l_binary64_11141` `associate-*r/_binary64_11142`
3×	`add-log-exp_binary64_11234` `associate-/l_binary64_11145` `associate-/r_binary64_11144` `div-inv_binary64_11195` `1-exp_binary64_11239` `rec-exp_binary64_11245`
2×	`unswap-sqr_binary64_11166` `*-commutative_binary64_11131`
1×	`associate-*l/_binary64_11143` `frac-times_binary64_11208` `frac-2neg_binary64_11209` `clear-num_binary64_11197` `un-div-inv_binary64_11196`

Counts

3 → 105

Calls

3 calls:

12.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series261.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

133.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
90.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
37.0ms	(/.f64 (sin.f64 y) y)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5108	1475

prune80.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	114	8	122

Merged error: 0b

Counts

122 → 8

Compiler

Compiled 1587 to 515 computations (67.5% saved)

regimes651.0ms (13%)

Compiler: Compiled 3206 to 2197 computations (31.5% saved)

bsearch44.0ms (0.9%)

Steps

Iters	Range		Point
7	2.0475132591406347e-19	6.813267735184235e-18	4.5434271798398006e-18
8	-9.300573287546309e-41	-1.0636603657156893e-43	-9.153932362511965e-41

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	48
1	24	48

end0.0ms (0%)

sample1.7s (34%)

Algorithm

1×

intervals

Results

346.0ms	1366×	body	1024	valid
301.0ms	5440×	body	128	valid
142.0ms	805×	body	512	valid
42.0ms	387×	body	256	valid
30.0ms	526×	body	128	invalid
15.0ms	60×	body	512	invalid
6.0ms	24×	body	1024	invalid
6.0ms	52×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 573 to 389 computations (32.1% saved)

Details

analyze427.0ms (8.5%)

sample38.0ms (0.8%)

simplify165.0ms (3.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite31.0ms (0.6%)

series259.0ms (5.2%)

simplify75.0ms (1.5%)

prune79.0ms (1.6%)

localize8.0ms (0.2%)

rewrite65.0ms (1.3%)

series330.0ms (6.6%)

simplify82.0ms (1.6%)

prune153.0ms (3.1%)

localize8.0ms (0.2%)

rewrite38.0ms (0.8%)

series263.0ms (5.3%)

simplify62.0ms (1.2%)

prune62.0ms (1.2%)

localize8.0ms (0.2%)

rewrite33.0ms (0.7%)

series261.0ms (5.2%)

simplify68.0ms (1.4%)

prune80.0ms (1.6%)

regimes651.0ms (13%)

bsearch44.0ms (0.9%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (34%)

Profiling