Details

analyze2.3s (18%)

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)

sample127.0ms (1%)

Algorithm

1×

intervals

Results

55.0ms	56×	body	1024	valid
28.0ms	144×	body	128	valid
17.0ms	30×	body	512	valid
9.0ms	25×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	46
1	44	46

prune3.0ms (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)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
0.0b	(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.1b	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite43.0ms (0.3%)

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`
19×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`div-inv_binary64_2803`
9×	`pow1_binary64_2867`
6×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/r*_binary64_2750`
4×	`add-log-exp_binary64_2845`
3×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-r_binary64_2746` `cos-atan_binary64_2985` `pow-prod-down_binary64_2877`
2×	`associate-/l/_binary64_2753` `tan-quot_binary64_2965` `clear-num_binary64_2805` `associate-/r/_binary64_2752` `frac-2neg_binary64_2817`
1×	`associate-l_binary64_2747` `-commutative_binary64_2737` `associate-r/_binary64_2748` `un-div-inv_binary64_2804`

Counts

4 → 170

Calls

8 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
6.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
0.0ms	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))

series1.1s (9.1%)

Counts

4 → 41

Calls

4 calls:

352.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
329.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
316.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
151.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 2368 to 1618 computations (31.7% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4966	4099
1	4966	4099

prune257.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	207	4	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	208	4	212

Error

0.1b

Counts

212 → 4

Compiler

Compiled 7594 to 1223 computations (83.9% saved)

localize25.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
0.0b	(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) 3))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.6b	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) 3))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_2812`
91×	`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`
12×	`cbrt-prod_binary64_2837`
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×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
2×	`associate-/l/_binary64_2753` `tan-quot_binary64_2965` `cos-atan_binary64_2985` `clear-num_binary64_2805` `associate-/r/_binary64_2752` `frac-2neg_binary64_2817`
1×	`cbrt-div_binary64_2838` `pow1/3_binary64_2888` `unpow3_binary64_2872` `sqr-pow_binary64_2778` `cube-mult_binary64_2836` `cube-div_binary64_2835` `rem-cbrt-cube_binary64_2830`

Counts

4 → 172

Calls

8 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) 3))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
0.0ms	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))

series976.0ms (7.7%)

Counts

4 → 38

Calls

4 calls:

346.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
334.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
149.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
146.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) 3))

Compiler

Compiled 2382 to 1714 computations (28% saved)

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4921	3974
1	4921	3974

prune269.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	210	4	214

Error

0.1b

Counts

214 → 4

Compiler

Compiled 8096 to 1913 computations (76.4% saved)

localize32.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
11.5b	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_2828` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `cos-atan_binary64_2985` `pow1_binary64_2867`
1×	`cbrt-div_binary64_2838` `pow1/3_binary64_2888` `cbrt-prod_binary64_2837` `associate-*l/_binary64_2749`

Counts

4 → 34

Calls

8 calls:

4.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
0.0ms	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))

series1.2s (9.3%)

Counts

4 → 36

Calls

4 calls:

706.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
159.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
158.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
151.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 4326 to 1955 computations (54.8% saved)

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4834	1264
1	4834	1264

prune115.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Error

0.1b

Counts

74 → 5

Compiler

Compiled 4529 to 312 computations (93.1% saved)

localize43.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
0.0b	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
37.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_2828` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `cos-atan_binary64_2985` `pow1_binary64_2867`

Counts

4 → 32

Calls

8 calls:

2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
0.0ms	(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))

series667.0ms (5.3%)

Counts

4 → 36

Calls

4 calls:

170.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
169.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
166.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
162.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6624 to 2142 computations (67.7% saved)

simplify176.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4922	1060
1	4922	1060

prune128.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	68	5	73

Error

0.1b

Counts

73 → 5

Compiler

Compiled 6468 to 281 computations (95.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	133	666
1	133	666

regimes218.0ms (1.7%)

Compiler: Compiled 2323 to 1298 computations (44.1% saved)

bsearch0.0ms (0%)

regimes123.0ms (1%)

Compiler: Compiled 1021 to 764 computations (25.2% saved)

bsearch0.0ms (0%)

regimes46.0ms (0.4%)

Compiler: Compiled 282 to 246 computations (12.8% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.2%)

Accuracy

Total 0.0b remaining (19.9%)

Threshold costs 0.0b (19.9%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch5.0ms (0%)

Compiler: Compiled 87 to 61 computations (29.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	142
1	43	142

end0.0ms (0%)

sample4.2s (33.5%)

Algorithm

1×

intervals

Results

1.8s	1997×	body	1024	valid
876.0ms	4468×	body	128	valid
605.0ms	1012×	body	512	valid
200.0ms	511×	body	256	valid
20.0ms	12×	body	2048	valid

Compiler

Compiled 523 to 300 computations (42.6% saved)

Pareto

0.2627926913031774

Details

analyze2.3s (18%)

sample127.0ms (1%)

simplify94.0ms (0.7%)

prune3.0ms (0%)

localize22.0ms (0.2%)

rewrite43.0ms (0.3%)

series1.1s (9.1%)

simplify93.0ms (0.7%)

prune257.0ms (2%)

localize25.0ms (0.2%)

rewrite45.0ms (0.4%)

series976.0ms (7.7%)

simplify108.0ms (0.9%)

prune269.0ms (2.1%)

localize32.0ms (0.3%)

rewrite15.0ms (0.1%)

series1.2s (9.3%)

simplify103.0ms (0.8%)

prune115.0ms (0.9%)

localize43.0ms (0.3%)

rewrite15.0ms (0.1%)

series667.0ms (5.3%)

simplify176.0ms (1.4%)

prune128.0ms (1%)

simplify10.0ms (0.1%)

regimes218.0ms (1.7%)

bsearch0.0ms (0%)

regimes123.0ms (1%)

bsearch0.0ms (0%)

regimes46.0ms (0.4%)

bsearch0.0ms (0%)

regimes25.0ms (0.2%)

bsearch5.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.2s (33.5%)

Profiling