Details

analyze4.1s (20.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	184
1	161	184
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14
38.4%	61.5%	0.1%	14

Compiler

Compiled 58 to 36 computations (37.9% saved)

sample566.0ms (2.9%)

Algorithm

2×

intervals

Results

112.0ms	118×	body	1024	valid
59.0ms	313×	body	128	valid
34.0ms	59×	body	512	valid
8.0ms	21×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 7510 to 5435 computations (27.6% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	46
1	44	46

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 eh (cos.f64 t))
2.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
34.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite303.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_2130`
92×	`add-sqr-sqrt_binary64_2146`
90×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
26×	`associate-/l*_binary64_2069`
16×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`div-inv_binary64_2121`
6×	`pow1_binary64_2185` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071` `tan-quot_binary64_2283` `associate-/r/_binary64_2070`
1×	`cos-atan_binary64_2303` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`

Counts

4 → 168

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.0ms	(*.f64 eh (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6296 to 1264 computations (79.9% saved)

series1.4s (7.3%)

Error

0.1b

Counts

4 → 37

Calls

4 calls:

527.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
502.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
227.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
128.0ms	(*.f64 eh (cos.f64 t))

Compiler

Compiled 3249 to 1545 computations (52.4% saved)

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5009	3601

prune300.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	198	7	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	7	206

Error

0.1b

Counts

206 → 7

Compiler

Compiled 7441 to 1290 computations (82.7% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.3b	(/.f64 eh (*.f64 ew (tan.f64 t)))
2.3b	(/.f64 eh (*.f64 ew (tan.f64 t)))
2.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
12.5b	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 ew (tan.f64 t))) (/.f64 eh (*.f64 ew (tan.f64 t))))))

rewrite280.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

81×	`times-frac_binary64_2130`
52×	`add-sqr-sqrt_binary64_2146`
51×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-/l*_binary64_2069`
7×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `div-inv_binary64_2121`
5×	`pow1_binary64_2185` `associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163`
3×	`sqrt-prod_binary64_2140` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `tan-quot_binary64_2283` `associate-/r/_binary64_2070`
2×	`sqrt-div_binary64_2141` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-*r/_binary64_2066`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `flip3-+_binary64_2127` `flip-+_binary64_2098` `rem-sqrt-square_binary64_2137` `associate-/l/_binary64_2071`

Counts

4 → 130

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
4.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 ew (tan.f64 t))) (/.f64 eh (*.f64 ew (tan.f64 t))))))

Compiler

Compiled 6145 to 1743 computations (71.6% saved)

series2.4s (12.3%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

754.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 ew (tan.f64 t))) (/.f64 eh (*.f64 ew (tan.f64 t))))))
529.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
529.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
527.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))

Compiler

Compiled 5302 to 2792 computations (47.3% saved)

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5011	3136

prune333.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	176	7	183

Error

0.1b

Counts

183 → 7

Compiler

Compiled 7891 to 2174 computations (72.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.3b	(/.f64 eh (*.f64 ew (tan.f64 t)))
2.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
34.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
34.2b	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

rewrite225.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

78×	`times-frac_binary64_2130`
48×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
16×	`associate-/l*_binary64_2069`
14×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`div-inv_binary64_2121`
5×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `associate-/r*_binary64_2068`
2×	`cos-atan_binary64_2303` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `tan-quot_binary64_2283` `associate-/r/_binary64_2070`
1×	`associate-/l/_binary64_2071` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-*r/_binary64_2066`

Counts

4 → 109

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 5225 to 970 computations (81.4% saved)

series1.6s (8.2%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

532.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
529.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
248.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))
245.0ms	(cos.f64 (atan.f64 (/.f64 eh (*.f64 ew (tan.f64 t)))))

Compiler

Compiled 4570 to 1858 computations (59.3% saved)

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4669	2481
1	4669	2481

prune256.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	147	7	154

Error

0.1b

Counts

154 → 7

Compiler

Compiled 6781 to 988 computations (85.4% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 t))
2.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
34.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite325.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_2130`
89×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
26×	`associate-/l*_binary64_2069`
14×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`div-inv_binary64_2121`
6×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/r*_binary64_2068`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`cbrt-prod_binary64_2155`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071` `tan-quot_binary64_2283` `associate-/r/_binary64_2070`
1×	`cos-atan_binary64_2303` `pow1/3_binary64_2206`

Counts

4 → 161

Calls

4 calls:

7.0ms	(/.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 (cos.f64 t))

Compiler

Compiled 7510 to 1238 computations (83.5% saved)

series1.5s (7.8%)

Error

0.1b

Counts

4 → 34

Calls

4 calls:

555.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
541.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
243.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
136.0ms	(cbrt.f64 (cos.f64 t))

Compiler

Compiled 3874 to 1664 computations (57% saved)

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4912	3516
1	4912	3516

prune315.0ms (1.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	193	9	202

Error

0.1b

Counts

202 → 9

Compiler

Compiled 8638 to 1130 computations (86.9% saved)

regimes467.0ms (2.4%)

Accuracy

Total 0.0b remaining (37.1%)

Threshold costs 0.0b (37.1%)

Compiler

Compiled 5366 to 3254 computations (39.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	46
1	23	46

end0.0ms (0%)

sample4.6s (23.7%)

Algorithm

1×

intervals

Results

1.8s	1965×	body	1024	valid
846.0ms	4525×	body	128	valid
621.0ms	1029×	body	512	valid
182.0ms	470×	body	256	valid
18.0ms	11×	body	2048	valid

Compiler

Compiled 1107 to 672 computations (39.3% saved)

Details

analyze4.1s (20.7%)

sample566.0ms (2.9%)

simplify7.0ms (0%)

prune4.0ms (0%)

localize23.0ms (0.1%)

rewrite303.0ms (1.5%)

series1.4s (7.3%)

simplify101.0ms (0.5%)

prune300.0ms (1.5%)

localize29.0ms (0.1%)

rewrite280.0ms (1.4%)

series2.4s (12.3%)

simplify99.0ms (0.5%)

prune333.0ms (1.7%)

localize29.0ms (0.1%)

rewrite225.0ms (1.1%)

series1.6s (8.2%)

simplify133.0ms (0.7%)

prune256.0ms (1.3%)

localize28.0ms (0.1%)

rewrite325.0ms (1.7%)

series1.5s (7.8%)

simplify105.0ms (0.5%)

prune315.0ms (1.6%)

regimes467.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.6s (23.7%)

Profiling