Details

analyze645.0ms (7.6%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample112.0ms (1.3%)

Algorithm

1×

intervals

Results

32.0ms	78×	body	1024	valid
27.0ms	72×	body	1024	invalid
12.0ms	132×	body	128	valid
12.0ms	29×	body	512	valid
5.0ms	21×	body	512	invalid
3.0ms	17×	body	256	valid
2.0ms	14×	body	256	invalid
2.0ms	15×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify355.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	4950	11
1	4950	11

prune4.0ms (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: 0.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.1b	(/.f64 (sin.f64 y) y)
0.3b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_13399`
19×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `times-frac_binary64_13383`
13×	`associate-r_binary64_13317`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
5×	`pow1_binary64_13438`
3×	`cosh-def_binary64_13563` `associate-/r_binary64_13321` `add-log-exp_binary64_13416` `associate-l_binary64_13318` `associate-/l_binary64_13322`
2×	`prod-exp_binary64_13426` `div-inv_binary64_13374` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
1×	`clear-num_binary64_13376` `associate-l/_binary64_13320` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `frac-times_binary64_13387` `associate-*r/_binary64_13319` `frac-2neg_binary64_13388`

Counts

3 → 69

Calls

3 calls:

16.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
8.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(cosh.f64 x)

series247.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

155.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
52.0ms	(cosh.f64 x)
39.0ms	(/.f64 (sin.f64 y) y)

simplify158.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4943	1015
1	4943	1015

prune131.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	67	11	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	11	79

Merged error: 0.2b

Counts

79 → 11

Compiler

Compiled 1146 to 342 computations (70.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))))
0.1b	(/.f64 (sin.f64 y) y)
0.3b	(sqrt.f64 (cosh.f64 x))
0.3b	(sqrt.f64 (cosh.f64 x))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_13399`
16×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
15×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
11×	`pow1_binary64_13438`
10×	`cosh-def_binary64_13563` `sqrt-div_binary64_13394`
9×	`times-frac_binary64_13383` `sqrt-prod_binary64_13393`
6×	`associate-l_binary64_13318`
5×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `frac-times_binary64_13387` `associate-*r/_binary64_13319`
4×	`add-log-exp_binary64_13416`
3×	`associate-/r_binary64_13321` `associate-l/_binary64_13320` `pow-prod-down_binary64_13448` `associate-/l*_binary64_13322`
2×	`pow1/2_binary64_13457` `div-exp_binary64_13428` `rem-sqrt-square_binary64_13390` `cbrt-undiv_binary64_13411` `sqrt-pow1_binary64_13395`
1×	`associate-r_binary64_13317` `div-inv_binary64_13374` `clear-num_binary64_13376` `*-commutative_binary64_13308` `frac-2neg_binary64_13388`

Counts

4 → 85

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))))
8.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(sqrt.f64 (cosh.f64 x))
3.0ms	(sqrt.f64 (cosh.f64 x))

series348.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))))
90.0ms	(sqrt.f64 (cosh.f64 x))
82.0ms	(sqrt.f64 (cosh.f64 x))
33.0ms	(/.f64 (sin.f64 y) y)

simplify163.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4935	1228
1	4935	1228

prune135.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	97	11	108

Merged error: 0.2b

Counts

108 → 11

Compiler

Compiled 1679 to 449 computations (73.3% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (sin.f64 y))
0.5b	(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 y))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_13415`
17×	`add-cbrt-cube_binary64_13413`
16×	`associate-r_binary64_13317`
14×	`add-sqr-sqrt_binary64_13399`
13×	`prod-exp_binary64_13426`
12×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
10×	`pow1_binary64_13438`
9×	`times-frac_binary64_13383`
7×	`cbrt-unprod_binary64_13410`
4×	`cosh-def_binary64_13563` `associate-l/_binary64_13320` `pow-prod-down_binary64_13448` `div-exp_binary64_13428` `associate-l*_binary64_13318`
3×	`add-log-exp_binary64_13416`
2×	`rec-exp_binary64_13427` `*-commutative_binary64_13308` `1-exp_binary64_13421` `cbrt-undiv_binary64_13411`
1×	`div-inv_binary64_13374` `un-div-inv_binary64_13375` `unswap-sqr_binary64_13345` `frac-times_binary64_13387` `associate-*r/_binary64_13319`

Counts

3 → 67

Calls

3 calls:

18.0ms	(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 y))
9.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))
2.0ms	(cosh.f64 x)

series293.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

133.0ms	(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 y))
114.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))
46.0ms	(cosh.f64 x)

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4947	969
1	4947	969

prune106.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	76	11	87

Merged error: 0.2b

Counts

87 → 11

Compiler

Compiled 1114 to 440 computations (60.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.1b	(/.f64 y (sin.f64 y))
0.3b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.3b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite89.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64_13383`
104×	`add-sqr-sqrt_binary64_13399`
92×	`*-un-lft-identity_binary64_13377`
90×	`add-cube-cbrt_binary64_13412`
44×	`associate-r_binary64_13317`
36×	`add-exp-log_binary64_13415`
20×	`add-cbrt-cube_binary64_13413`
16×	`associate-/r*_binary64_13321`
15×	`div-exp_binary64_13428`
10×	`div-inv_binary64_13374`
7×	`prod-exp_binary64_13426` `pow1_binary64_13438` `cbrt-undiv_binary64_13411`
6×	`associate-/l*_binary64_13322`
5×	`unswap-sqr_binary64_13345`
4×	`rec-exp_binary64_13427` `1-exp_binary64_13421` `add-log-exp_binary64_13416`
3×	`cosh-def_binary64_13563` `cbrt-unprod_binary64_13410` `associate-l_binary64_13318`
2×	`clear-num_binary64_13376` `associate-/r/_binary64_13323` `frac-2neg_binary64_13388`
1×	`pow-flip_binary64_13451` `inv-pow_binary64_13462` `un-div-inv_binary64_13375` `associate-l/_binary64_13320` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `frac-times_binary64_13387` `associate-*r/_binary64_13319`

Counts

4 → 186

Calls

4 calls:

34.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
13.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))
2.0ms	(cosh.f64 x)

series303.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
53.0ms	(/.f64 y (sin.f64 y))
50.0ms	(cosh.f64 x)
38.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify158.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4973	2933
1	4973	2933

prune250.0ms (2.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	2	6	8
Picked	1	0	1
Done	0	2	2
Total	199	10	209

Merged error: 0.2b

Counts

209 → 10

Compiler

Compiled 2977 to 915 computations (69.3% saved)

regimes449.0ms (5.3%)

Compiler: Compiled 2067 to 1382 computations (33.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample4.2s (49.8%)

Algorithm

1×

intervals

Results

855.0ms	1955×	body	1024	valid
770.0ms	1957×	body	1024	invalid
437.0ms	4509×	body	128	valid
290.0ms	1000×	body	512	valid
258.0ms	878×	body	512	invalid
105.0ms	530×	body	256	valid
103.0ms	518×	body	256	invalid
76.0ms	712×	body	128	invalid
8.0ms	6×	body	2048	valid

Compiler

Compiled 385 to 264 computations (31.4% saved)

Details

analyze645.0ms (7.6%)

sample112.0ms (1.3%)

simplify355.0ms (4.2%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite35.0ms (0.4%)

series247.0ms (2.9%)

simplify158.0ms (1.9%)

prune131.0ms (1.5%)

localize17.0ms (0.2%)

rewrite48.0ms (0.6%)

series348.0ms (4.1%)

simplify163.0ms (1.9%)

prune135.0ms (1.6%)

localize14.0ms (0.2%)

rewrite41.0ms (0.5%)

series293.0ms (3.5%)

simplify135.0ms (1.6%)

prune106.0ms (1.2%)

localize15.0ms (0.2%)

rewrite89.0ms (1.1%)

series303.0ms (3.6%)

simplify158.0ms (1.9%)

prune250.0ms (2.9%)

regimes449.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.2s (49.8%)

Profiling