Details

analyze3.1s (21.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample202.0ms (1.4%)

Algorithm

1×

intervals

Results

107.0ms	72×	body	1024	valid
44.0ms	145×	body	128	valid
24.0ms	25×	body	512	valid
8.0ms	14×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify157.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	44	46
1	44	46

prune7.0ms (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 56 to 34 computations (39.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 eh (cos.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_2812`
92×	`add-sqr-sqrt_binary64_2828`
90×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
26×	`associate-/l*_binary64_2751`
16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`div-inv_binary64_2803`
6×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/r*_binary64_2750` `pow1_binary64_2867`
4×	`add-log-exp_binary64_2845`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-/l/_binary64_2753` `tan-quot_binary64_2965` `clear-num_binary64_2805` `associate-/r/_binary64_2752` `frac-2neg_binary64_2817`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `cos-atan_binary64_2985` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`

Counts

4 → 168

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(*.f64 eh (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series596.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

271.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
208.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
72.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
44.0ms	(*.f64 eh (cos.f64 t))

simplify175.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5076	3288

prune250.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	4	181

Error

0.1b

Counts

181 → 4

Compiler

Compiled 6549 to 1166 computations (82.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite56.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_2812`
89×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
26×	`associate-/l*_binary64_2751`
14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`div-inv_binary64_2803`
6×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/r*_binary64_2750`
4×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
3×	`cbrt-prod_binary64_2837`
2×	`associate-/l/_binary64_2753` `tan-quot_binary64_2965` `clear-num_binary64_2805` `associate-/r/_binary64_2752` `frac-2neg_binary64_2817`
1×	`pow1/3_binary64_2888` `cos-atan_binary64_2985`

Counts

4 → 161

Calls

4 calls:

13.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
10.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cbrt.f64 (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series595.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
183.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
111.0ms	(cbrt.f64 (cos.f64 t))
78.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify153.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4928	3245
1	4928	3245

prune325.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	172	5	177

Error

0.1b

Counts

177 → 5

Compiler

Compiled 7901 to 1160 computations (85.3% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 eh)
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite55.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_2812`
89×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
26×	`associate-/l*_binary64_2751`
14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`div-inv_binary64_2803`
6×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/r*_binary64_2750`
4×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
3×	`cbrt-prod_binary64_2837`
2×	`associate-/l/_binary64_2753` `tan-quot_binary64_2965` `clear-num_binary64_2805` `associate-/r/_binary64_2752` `frac-2neg_binary64_2817`
1×	`pow1/3_binary64_2888` `cos-atan_binary64_2985`

Counts

4 → 161

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
1.0ms	(cbrt.f64 eh)

series546.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
161.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
116.0ms	(cbrt.f64 eh)
60.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4959	3138
1	4959	3138

prune331.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	173	5	178

Error

0.1b

Counts

178 → 5

Compiler

Compiled 7520 to 1243 computations (83.5% saved)

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 eh)
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite75.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_2812`
89×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
26×	`associate-/l*_binary64_2751`
14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`div-inv_binary64_2803`
6×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/r*_binary64_2750`
4×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
3×	`cbrt-prod_binary64_2837`
2×	`associate-/l/_binary64_2753` `tan-quot_binary64_2965` `clear-num_binary64_2805` `associate-/r/_binary64_2752` `frac-2neg_binary64_2817`
1×	`pow1/3_binary64_2888` `cos-atan_binary64_2985`

Counts

4 → 161

Calls

4 calls:

14.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
14.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
3.0ms	(cbrt.f64 eh)

series633.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
166.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
150.0ms	(cbrt.f64 eh)
78.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4959	3138
1	4959	3138

prune328.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	173	5	178

Error

0.1b

Counts

178 → 5

Compiler

Compiled 8955 to 1202 computations (86.6% saved)

regimes243.0ms (1.7%)

Accuracy

Total 0.0b remaining (30.7%)

Threshold costs 0.0b (30.7%)

Compiler

Compiled 1896 to 1074 computations (43.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	46
1	23	46

end0.0ms (0%)

sample6.1s (42.4%)

Algorithm

1×

intervals

Results

2.7s	2001×	body	1024	valid
1.3s	4492×	body	128	valid
841.0ms	969×	body	512	valid
308.0ms	535×	body	256	valid
8.0ms	3×	body	2048	valid

Compiler

Compiled 413 to 236 computations (42.9% saved)

Details

analyze3.1s (21.4%)

sample202.0ms (1.4%)

simplify157.0ms (1.1%)

prune7.0ms (0%)

localize21.0ms (0.1%)

rewrite42.0ms (0.3%)

series596.0ms (4.2%)

simplify175.0ms (1.2%)

prune250.0ms (1.8%)

localize28.0ms (0.2%)

rewrite56.0ms (0.4%)

series595.0ms (4.2%)

simplify153.0ms (1.1%)

prune325.0ms (2.3%)

localize39.0ms (0.3%)

rewrite55.0ms (0.4%)

series546.0ms (3.8%)

simplify125.0ms (0.9%)

prune331.0ms (2.3%)

localize61.0ms (0.4%)

rewrite75.0ms (0.5%)

series633.0ms (4.4%)

simplify125.0ms (0.9%)

prune328.0ms (2.3%)

regimes243.0ms (1.7%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.1s (42.4%)

Profiling