Details

analyze339.0ms (5.4%)

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)

sample67.0ms (1.1%)

Algorithm

1×

intervals

Results

15.0ms	77×	body	1024	invalid
13.0ms	62×	body	1024	valid
10.0ms	138×	body	128	valid
6.0ms	41×	body	512	valid
5.0ms	34×	body	512	invalid
2.0ms	16×	body	256	invalid
1.0ms	15×	body	256	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify207.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4950	11
1	4950	11

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite64.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_15104`
19×	`times-frac_binary64_15088`
18×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
13×	`associate-r_binary64_15022`
9×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
4×	`pow1_binary64_15143`
3×	`associate-/l_binary64_15027` `associate-/r_binary64_15026` `associate-l_binary64_15023`
2×	`div-exp_binary64_15133` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cosh-def_binary64_15268` `unswap-sqr_binary64_15050`
1×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `pow-prod-down_binary64_15153` `frac-times_binary64_15092` `associate-l/_binary64_15025` `associate-r/_binary64_15024` `*-commutative_binary64_15013`

Counts

2 → 61

Calls

2 calls:

8.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 864 to 212 computations (75.5% saved)

series266.0ms (4.3%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

216.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
34.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 718 to 496 computations (30.9% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4961	1179
1	4961	1179

prune65.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	8	78

Error

0.0b

Counts

78 → 8

Compiler

Compiled 1124 to 321 computations (71.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.1b	(/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y 2))

rewrite80.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
9×	`*-un-lft-identity_binary64_15082`
7×	`add-sqr-sqrt_binary64_15104`
5×	`pow1_binary64_15143` `prod-exp_binary64_15131` `add-log-exp_binary64_15121` `add-cube-cbrt_binary64_15117` `cbrt-unprod_binary64_15115` `associate-r_binary64_15022`
4×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `associate-*r/_binary64_15024`
3×	`flip3-+_binary64_15085` `flip-+_binary64_15056` `associate-l_binary64_15023`
2×	`associate-/l/_binary64_15029` `cosh-undef_binary64_15276` `distribute-lft-out_binary64_15033`
1×	`frac-2neg_binary64_15093` `times-frac_binary64_15088` `clear-num_binary64_15081` `div-inv_binary64_15079` `associate-/l_binary64_15027` `associate-/r_binary64_15026` `pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `*-commutative_binary64_15013` `sum-log_binary64_15173` `+-commutative_binary64_15012`

Counts

3 → 60

Calls

3 calls:

10.0ms	(/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y 2))
8.0ms	(*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1325 to 391 computations (70.5% saved)

series410.0ms (6.6%)

Error

0.0b

Counts

3 → 28

Calls

3 calls:

230.0ms	(/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y 2))
130.0ms	(*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1379 to 935 computations (32.2% saved)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4936	1475
1	4936	1475

prune70.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Error

0.0b

Counts

96 → 9

Compiler

Compiled 1570 to 572 computations (63.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite68.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-exp-log_binary64_15120`
18×	`add-sqr-sqrt_binary64_15104`
16×	`add-cbrt-cube_binary64_15118`
14×	`associate-r_binary64_15022`
13×	`prod-exp_binary64_15131`
12×	`*-un-lft-identity_binary64_15082`
11×	`add-cube-cbrt_binary64_15117` `times-frac_binary64_15088`
9×	`pow1_binary64_15143`
7×	`cbrt-unprod_binary64_15115`
6×	`associate-l_binary64_15023`
5×	`associate-*r/_binary64_15024`
4×	`pow-prod-down_binary64_15153` `div-exp_binary64_15133`
3×	`un-div-inv_binary64_15080` `unswap-sqr_binary64_15050` `cosh-def_binary64_15268`
2×	`1-exp_binary64_15126` `rec-exp_binary64_15132` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `*-commutative_binary64_15013` `frac-times_binary64_15092`
1×	`div-inv_binary64_15079` `associate-*l/_binary64_15025`

Counts

2 → 63

Calls

2 calls:

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

Compiler

Compiled 988 to 492 computations (50.2% saved)

series274.0ms (4.4%)

Error

0.0b

Counts

2 → 16

Calls

2 calls:

228.0ms	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
33.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

Compiler

Compiled 718 to 496 computations (30.9% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4978	1021
1	4978	1021

prune54.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	79	9	88

Error

0.0b

Counts

88 → 9

Compiler

Compiled 1092 to 396 computations (63.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.4b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite194.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

156×	`times-frac_binary64_15088`
103×	`add-sqr-sqrt_binary64_15104`
91×	`*-un-lft-identity_binary64_15082`
89×	`add-cube-cbrt_binary64_15117`
44×	`associate-r_binary64_15022`
35×	`add-exp-log_binary64_15120`
19×	`add-cbrt-cube_binary64_15118`
16×	`associate-/r*_binary64_15026`
15×	`div-exp_binary64_15133`
10×	`div-inv_binary64_15079`
7×	`cbrt-undiv_binary64_15116` `prod-exp_binary64_15131`
6×	`pow1_binary64_15143` `associate-/l*_binary64_15027`
5×	`unswap-sqr_binary64_15050`
4×	`1-exp_binary64_15126` `rec-exp_binary64_15132`
3×	`add-log-exp_binary64_15121` `cbrt-unprod_binary64_15115` `associate-l_binary64_15023`
2×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/r/_binary64_15028` `cosh-def_binary64_15268`
1×	`inv-pow_binary64_15167` `pow-flip_binary64_15156` `pow-prod-down_binary64_15153` `frac-times_binary64_15092` `un-div-inv_binary64_15080` `associate-l/_binary64_15025` `associate-r/_binary64_15024` `*-commutative_binary64_15013`

Counts

3 → 178

Calls

3 calls:

19.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 3293 to 1336 computations (59.4% saved)

series304.0ms (4.9%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

212.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
42.0ms	(/.f64 y (sin.f64 y))
34.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 868 to 620 computations (28.6% saved)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4988	3078
1	4988	3078

prune136.0ms (2.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	195	4	199
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	198	10	208

Error

Counts

208 → 10

Compiler

Compiled 2996 to 909 computations (69.7% saved)

regimes581.0ms (9.3%)

Accuracy

Total 0.1b remaining (96.6%)

Threshold costs 0.1b (96.6%)

Compiler

Compiled 3960 to 2734 computations (31% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.7s (43.7%)

Algorithm

1×

intervals

Results

449.0ms	1986×	body	1024	valid
421.0ms	2057×	body	1024	invalid
229.0ms	4517×	body	128	valid
151.0ms	989×	body	512	invalid
145.0ms	1009×	body	512	valid
46.0ms	482×	body	256	valid
43.0ms	448×	body	256	invalid
38.0ms	684×	body	128	invalid
2.0ms	6×	body	2048	valid

Compiler

Compiled 808 to 561 computations (30.6% saved)

Details

analyze339.0ms (5.4%)

sample67.0ms (1.1%)

simplify207.0ms (3.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite64.0ms (1%)

series266.0ms (4.3%)

simplify76.0ms (1.2%)

prune65.0ms (1%)

localize10.0ms (0.2%)

rewrite80.0ms (1.3%)

series410.0ms (6.6%)

simplify64.0ms (1%)

prune70.0ms (1.1%)

localize7.0ms (0.1%)

rewrite68.0ms (1.1%)

series274.0ms (4.4%)

simplify66.0ms (1.1%)

prune54.0ms (0.9%)

localize7.0ms (0.1%)

rewrite194.0ms (3.1%)

series304.0ms (4.9%)

simplify93.0ms (1.5%)

prune136.0ms (2.2%)

regimes581.0ms (9.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (43.7%)

Profiling