Details

analyze471.0ms (8.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4854	22
1	4854	22
0	2	2
1	2	2

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample71.0ms (1.2%)

Algorithm

1×

intervals

Results

14.0ms	67×	body	1024	valid
14.0ms	59×	body	1024	invalid
7.0ms	135×	body	128	valid
5.0ms	110×	body	128	invalid
5.0ms	38×	body	512	valid
4.0ms	31×	body	512	invalid
2.0ms	22×	body	256	invalid
2.0ms	16×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5030	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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(/.f64 (sinh.f64 y) y)

rewrite63.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_5897`
19×	`add-cube-cbrt_binary64_5910` `times-frac_binary64_5881` `*-un-lft-identity_binary64_5875`
13×	`associate-r_binary64_5815`
10×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
5×	`pow1_binary64_5936`
3×	`add-log-exp_binary64_5914` `associate-/l_binary64_5820` `associate-/r_binary64_5819` `associate-l_binary64_5816`
2×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909` `div-inv_binary64_5872` `sinh-def_binary64_6060` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843`
1×	`frac-2neg_binary64_5886` `clear-num_binary64_5874` `associate-/l/_binary64_5822` `pow-prod-down_binary64_5946` `associate-r/_binary64_5817` `-commutative_binary64_5806`

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

Compiler

Compiled 942 to 236 computations (74.9% saved)

series336.0ms (5.8%)

Error

0.0b

Counts

3 → 22

Calls

3 calls:

203.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
75.0ms	(/.f64 (sinh.f64 y) y)
40.0ms	(sinh.f64 y)

Compiler

Compiled 897 to 646 computations (28% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4963	1217
1	4963	1217

prune65.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Error

Counts

91 → 4

Compiler

Compiled 1188 to 368 computations (69% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))
0.1b	(*.f64 1/120 (pow.f64 y 4))
0.1b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
0.2b	(.f64 1/6 (.f64 y y))

rewrite124.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_5897`
16×	`add-exp-log_binary64_5913`
13×	`add-cbrt-cube_binary64_5911`
11×	`pow1_binary64_5936` `associate-r_binary64_5815`
10×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
9×	`associate-l_binary64_5816`
7×	`prod-exp_binary64_5924`
6×	`add-log-exp_binary64_5914`
5×	`cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843`
4×	`pow-prod-down_binary64_5946` `unpow-prod-down_binary64_5954`
3×	`*-commutative_binary64_5806`
2×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `flip3-+_binary64_5878` `associate-*r/_binary64_5817` `flip-+_binary64_5849` `sqr-pow_binary64_5847` `associate-+r+_binary64_5807`
1×	`pow-to-exp_binary64_5944` `pow-exp_binary64_5943` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

4 → 79

Calls

4 calls:

10.0ms	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
6.0ms	(.f64 1/6 (.f64 y y))
5.0ms	(*.f64 1/120 (pow.f64 y 4))
4.0ms	(+.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))

Compiler

Compiled 2078 to 1220 computations (41.3% saved)

series653.0ms (11.4%)

Error

Counts

4 → 31

Calls

4 calls:

349.0ms	(+.f64 (sin.f64 x) (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4)))))
207.0ms	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
37.0ms	(*.f64 1/120 (pow.f64 y 4))
28.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 1690 to 1266 computations (25.1% saved)

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5070	2096

prune122.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Error

Counts

114 → 4

Compiler

Compiled 2476 to 1480 computations (40.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite69.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_5906`
23×	`add-sqr-sqrt_binary64_5897`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`pow1_binary64_5936`
9×	`pow1/3_binary64_5957`
6×	`add-exp-log_binary64_5913` `swap-sqr_binary64_5842` `associate-l_binary64_5816` `associate-r_binary64_5815`
4×	`add-log-exp_binary64_5914` `add-cbrt-cube_binary64_5911` `unswap-sqr_binary64_5843`
2×	`pow-prod-down_binary64_5946` `pow-prod-up_binary64_5945` `pow-sqr_binary64_5848`
1×	`pow2_binary64_5956` `pow-plus_binary64_5938` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `*-commutative_binary64_5806`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1378 to 364 computations (73.6% saved)

series332.0ms (5.8%)

Error

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
85.0ms	(cbrt.f64 y)
78.0ms	(cbrt.f64 y)
71.0ms	(cbrt.f64 y)

Compiler

Compiled 591 to 406 computations (31.3% saved)

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune60.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 1414 to 424 computations (70% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
0.0b	(sinh.f64 y)
0.2b	(/.f64 (sinh.f64 y) (sqrt.f64 y))

rewrite225.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

276×	`times-frac_binary64_5881`
155×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
144×	`sqrt-prod_binary64_5891`
25×	`associate-/l*_binary64_5820`
12×	`associate-/r*_binary64_5819`
10×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
9×	`div-inv_binary64_5872`
4×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909`
3×	`pow1_binary64_5936` `add-log-exp_binary64_5914`
2×	`frac-2neg_binary64_5886` `clear-num_binary64_5874` `sinh-def_binary64_6060` `associate-/l/_binary64_5822`

Counts

3 → 223

Calls

3 calls:

10.0ms	(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
4.0ms	(/.f64 (sinh.f64 y) (sqrt.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 5179 to 1027 computations (80.2% saved)

series157.0ms (2.7%)

Error

Counts

3 → 15

Calls

3 calls:

57.0ms	(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
47.0ms	(sinh.f64 y)
42.0ms	(/.f64 (sinh.f64 y) (sqrt.f64 y))

Compiler

Compiled 677 to 495 computations (26.9% saved)

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5123	5309

prune161.0ms (2.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	238	4	242

Error

Counts

242 → 4

Compiler

Compiled 4597 to 949 computations (79.4% saved)

regimes139.0ms (2.4%)

Accuracy

Total 0.0b remaining (47.2%)

Threshold costs 0.0b (47.2%)

Compiler

Compiled 1025 to 779 computations (24% 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%)

sample2.3s (40.4%)

Algorithm

1×

intervals

Results

433.0ms	2012×	body	1024	valid
401.0ms	1922×	body	1024	invalid
234.0ms	4461×	body	128	valid
145.0ms	1042×	body	512	valid
141.0ms	1022×	body	512	invalid
141.0ms	2567×	body	128	invalid
48.0ms	497×	body	256	invalid
46.0ms	478×	body	256	valid
4.0ms	7×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 214 to 164 computations (23.4% saved)

Details

analyze471.0ms (8.2%)

sample71.0ms (1.2%)

simplify58.0ms (1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite63.0ms (1.1%)

series336.0ms (5.8%)

simplify58.0ms (1%)

prune65.0ms (1.1%)

localize11.0ms (0.2%)

rewrite124.0ms (2.2%)

series653.0ms (11.4%)

simplify52.0ms (0.9%)

prune122.0ms (2.1%)

localize10.0ms (0.2%)

rewrite69.0ms (1.2%)

series332.0ms (5.8%)

simplify76.0ms (1.3%)

prune60.0ms (1%)

localize8.0ms (0.1%)

rewrite225.0ms (3.9%)

series157.0ms (2.7%)

simplify94.0ms (1.6%)

prune161.0ms (2.8%)

regimes139.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (40.4%)

Profiling