Details

analyze2.0s (21.5%)

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)

sample126.0ms (1.4%)

Algorithm

1×

intervals

Results

58.0ms	57×	body	1024	valid
26.0ms	140×	body	128	valid
25.0ms	41×	body	512	valid
7.0ms	18×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify99.0ms (1.1%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_766`
89×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
26×	`associate-/l*_binary64_705`
19×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`div-inv_binary64_757`
9×	`pow1_binary64_821`
6×	`cbrt-undiv_binary64_794` `associate-/r*_binary64_704` `div-exp_binary64_811`
4×	`add-log-exp_binary64_799`
3×	`prod-exp_binary64_809` `cos-atan_binary64_939` `associate-r_binary64_700` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
2×	`frac-2neg_binary64_771` `associate-/r/_binary64_706` `associate-/l/_binary64_707` `tan-quot_binary64_919` `clear-num_binary64_759`
1×	`associate-l_binary64_701` `associate-r/_binary64_702` `un-div-inv_binary64_758` `-commutative_binary64_691`

Counts

4 → 170

Calls

4 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))))

series449.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
142.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
107.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
52.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4907	3602
1	4907	3602

prune204.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	4	183

Merged error: 0.1b

Counts

183 → 4

Compiler

Compiled 6684 to 1154 computations (82.7% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

10.8b	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `cos-atan_binary64_939` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`
1×	`pow1/3_binary64_842` `associate-*l/_binary64_703` `cbrt-div_binary64_792` `cbrt-prod_binary64_791`

Counts

4 → 34

Calls

4 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))))

series417.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
58.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
51.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
48.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5209	844

prune80.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	44	6	50

Merged error: 0.1b

Counts

50 → 6

Compiler

Compiled 3162 to 345 computations (89.1% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `cos-atan_binary64_939` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`

Counts

4 → 32

Calls

4 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))))

series214.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
55.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
52.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
51.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify161.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4922	748
1	4922	748

prune97.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	44	6	50

Merged error: 0.1b

Counts

50 → 6

Compiler

Compiled 4411 to 342 computations (92.2% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
30.1b	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))) 3))
33.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_766`
89×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
26×	`associate-/l*_binary64_705`
14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`div-inv_binary64_757`
8×	`cbrt-prod_binary64_791`
6×	`cbrt-undiv_binary64_794` `associate-/r*_binary64_704` `div-exp_binary64_811`
4×	`add-log-exp_binary64_799` `pow1_binary64_821`
2×	`frac-2neg_binary64_771` `associate-/r/_binary64_706` `associate-/l/_binary64_707` `cos-atan_binary64_939` `tan-quot_binary64_919` `clear-num_binary64_759`
1×	`pow1/3_binary64_842` `cube-mult_binary64_790` `rem-cbrt-cube_binary64_784` `associate-*l/_binary64_703` `unpow3_binary64_826` `cbrt-div_binary64_792` `cube-div_binary64_789` `sqr-pow_binary64_732` `cube-prod_binary64_788` `unpow-prod-down_binary64_839`

Counts

4 → 168

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))) 3))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series469.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

145.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
144.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
132.0ms	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))) 3))
47.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5015	3770

prune224.0ms (2.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	180	6	186

Merged error: 0.1b

Counts

186 → 6

Compiler

Compiled 7055 to 1615 computations (77.1% saved)

regimes156.0ms (1.7%)

Compiler: Compiled 2156 to 959 computations (55.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	46
1	23	46

end0.0ms (0%)

sample4.0s (43.7%)

Algorithm

1×

intervals

Results

1.8s	1982×	body	1024	valid
837.0ms	4491×	body	128	valid
610.0ms	1016×	body	512	valid
192.0ms	502×	body	256	valid
14.0ms	9×	body	2048	valid

Compiler

Compiled 465 to 213 computations (54.2% saved)

Details

analyze2.0s (21.5%)

sample126.0ms (1.4%)

simplify99.0ms (1.1%)

prune4.0ms (0%)

localize27.0ms (0.3%)

rewrite42.0ms (0.5%)

series449.0ms (4.9%)

simplify104.0ms (1.1%)

prune204.0ms (2.2%)

localize28.0ms (0.3%)

rewrite14.0ms (0.2%)

series417.0ms (4.5%)

simplify55.0ms (0.6%)

prune80.0ms (0.9%)

localize36.0ms (0.4%)

rewrite14.0ms (0.2%)

series214.0ms (2.3%)

simplify161.0ms (1.7%)

prune97.0ms (1.1%)

localize25.0ms (0.3%)

rewrite44.0ms (0.5%)

series469.0ms (5.1%)

simplify98.0ms (1.1%)

prune224.0ms (2.4%)

regimes156.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.0s (43.7%)

Profiling