Details

analyze1.9s (20.1%)

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)

sample130.0ms (1.4%)

Algorithm

1×

intervals

Results

62.0ms	66×	body	1024	valid
23.0ms	132×	body	128	valid
22.0ms	41×	body	512	valid
11.0ms	17×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify98.0ms (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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 eh (cos.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
35.2b	(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_3835`
92×	`add-sqr-sqrt_binary64_3851`
90×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
26×	`associate-/l*_binary64_3774`
16×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
10×	`div-inv_binary64_3826`
6×	`div-exp_binary64_3880` `pow1_binary64_3890` `cbrt-undiv_binary64_3863` `associate-/r*_binary64_3773`
4×	`add-log-exp_binary64_3868`
3×	`associate-r_binary64_3769` `associate-l_binary64_3770`
2×	`associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `clear-num_binary64_3828` `tan-quot_binary64_3988` `frac-2neg_binary64_3840`
1×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `cos-atan_binary64_4008` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`

Counts

4 → 168

Calls

4 calls:

10.0ms	(/.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))))

series360.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
135.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
51.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
28.0ms	(*.f64 eh (cos.f64 t))

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5076	3288

prune198.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	175	5	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	6	181

Error

0.1b

Counts

181 → 6

Compiler

Compiled 6614 to 1204 computations (81.8% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
35.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_3835`
89×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
26×	`associate-/l*_binary64_3774`
14×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
10×	`div-inv_binary64_3826`
6×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/r*_binary64_3773`
4×	`add-log-exp_binary64_3868` `pow1_binary64_3890`
3×	`cbrt-prod_binary64_3860`
2×	`associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `clear-num_binary64_3828` `tan-quot_binary64_3988` `frac-2neg_binary64_3840`
1×	`cos-atan_binary64_4008` `pow1/3_binary64_3911`

Counts

4 → 161

Calls

4 calls:

10.0ms	(/.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))

series483.0ms (5%)

Counts

4 → 12

Calls

4 calls:

204.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
161.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
68.0ms	(cbrt.f64 (cos.f64 t))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4928	3245
1	4928	3245

prune225.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	171	8	179

Error

0.1b

Counts

179 → 8

Compiler

Compiled 8014 to 1221 computations (84.8% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
35.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_3835`
89×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
26×	`associate-/l*_binary64_3774`
14×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
10×	`div-inv_binary64_3826`
6×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/r*_binary64_3773`
4×	`add-log-exp_binary64_3868` `pow1_binary64_3890`
3×	`cbrt-prod_binary64_3860`
2×	`associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `clear-num_binary64_3828` `tan-quot_binary64_3988` `frac-2neg_binary64_3840`
1×	`cos-atan_binary64_4008` `pow1/3_binary64_3911`

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))

series420.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
151.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
68.0ms	(cbrt.f64 (cos.f64 t))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4928	3245
1	4928	3245

prune252.0ms (2.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	173	8	181

Error

0.1b

Counts

181 → 8

Compiler

Compiled 9869 to 1220 computations (87.6% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 eh)
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.9b	(/.f64 (/.f64 eh ew) (tan.f64 t))
35.2b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_3835`
89×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
26×	`associate-/l*_binary64_3774`
14×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
10×	`div-inv_binary64_3826`
6×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/r*_binary64_3773`
4×	`add-log-exp_binary64_3868` `pow1_binary64_3890`
3×	`cbrt-prod_binary64_3860`
2×	`associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `clear-num_binary64_3828` `tan-quot_binary64_3988` `frac-2neg_binary64_3840`
1×	`cos-atan_binary64_4008` `pow1/3_binary64_3911`

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 eh)

series442.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
153.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
81.0ms	(cbrt.f64 eh)
53.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4959	3138
1	4959	3138

prune198.0ms (2.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	173	8	181

Error

0.1b

Counts

181 → 8

Compiler

Compiled 7398 to 1178 computations (84.1% saved)

regimes199.0ms (2.1%)

Accuracy

Total 0.1b remaining (39.8%)

Threshold costs 0.1b (39.8%)

Compiler

Compiled 2441 to 1374 computations (43.7% 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%)

sample4.0s (41.5%)

Algorithm

1×

intervals

Results

1.7s	1974×	body	1024	valid
805.0ms	4506×	body	128	valid
591.0ms	1010×	body	512	valid
190.0ms	507×	body	256	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 522 to 296 computations (43.3% saved)

Details

analyze1.9s (20.1%)

sample130.0ms (1.4%)

simplify98.0ms (1%)

prune4.0ms (0%)

localize20.0ms (0.2%)

rewrite44.0ms (0.5%)

series360.0ms (3.7%)

simplify107.0ms (1.1%)

prune198.0ms (2.1%)

localize24.0ms (0.3%)

rewrite43.0ms (0.4%)

series483.0ms (5%)

simplify104.0ms (1.1%)

prune225.0ms (2.3%)

localize31.0ms (0.3%)

rewrite43.0ms (0.5%)

series420.0ms (4.4%)

simplify109.0ms (1.1%)

prune252.0ms (2.6%)

localize25.0ms (0.3%)

rewrite39.0ms (0.4%)

series442.0ms (4.6%)

simplify99.0ms (1%)

prune198.0ms (2.1%)

regimes199.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.0s (41.5%)

Profiling