Details

analyze2.0s (20.9%)

Algorithm

1×	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%	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)

sample123.0ms (1.3%)

Algorithm

1×

intervals

Results

62.0ms	65×	body	1024	valid
26.0ms	143×	body	128	valid
17.0ms	30×	body	512	valid
7.0ms	18×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify7.0ms (0.1%)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 ew (sin.f64 t))
1.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
37.0b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1107`
92×	`add-sqr-sqrt_binary64_1123`
90×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
26×	`associate-/l*_binary64_1046`
16×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`div-inv_binary64_1098`
6×	`pow1_binary64_1162` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140`
3×	`associate-r_binary64_1041` `associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `tan-quot_binary64_1260`
1×	`*-commutative_binary64_1032` `cos-atan_binary64_1280` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

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

series385.0ms (4%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
145.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
59.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
31.0ms	(*.f64 ew (sin.f64 t))

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5161	3297

prune212.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	174	6	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	6	181

Merged error: 0.1b

Counts

181 → 6

Compiler

Compiled 6658 to 1221 computations (81.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.1b	(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
37.0b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1107`
90×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
26×	`associate-/l*_binary64_1046`
14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`div-inv_binary64_1098`
6×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
5×	`pow1_binary64_1162`
4×	`add-log-exp_binary64_1140` `log-pow_binary64_1190`
3×	`exp-prod_binary64_1153` `log-prod_binary64_1187`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `tan-quot_binary64_1260`
1×	`cos-atan_binary64_1280` `rem-log-exp_binary64_1142`

Counts

4 → 165

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series455.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
151.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
98.0ms	(log.f64 (exp.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4936	3443
1	4936	3443

prune205.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	177	6	183

Merged error: 0.1b

Counts

183 → 6

Compiler

Compiled 6907 to 1328 computations (80.8% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 ew)
1.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
37.0b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1107`
89×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
26×	`associate-/l*_binary64_1046`
14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`div-inv_binary64_1098`
6×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162`
3×	`cbrt-prod_binary64_1132`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `tan-quot_binary64_1260`
1×	`cos-atan_binary64_1280` `pow1/3_binary64_1183`

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 ew)

series428.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
147.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
81.0ms	(cbrt.f64 ew)
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4966	3138
1	4966	3138

prune211.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	172	7	179

Merged error: 0.1b

Counts

179 → 7

Compiler

Compiled 7587 to 1275 computations (83.2% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 t))
1.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.4b	(/.f64 (/.f64 eh ew) (tan.f64 t))
37.0b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1107`
89×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
26×	`associate-/l*_binary64_1046`
14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`div-inv_binary64_1098`
6×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162`
3×	`cbrt-prod_binary64_1132`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `tan-quot_binary64_1260`
1×	`cos-atan_binary64_1280` `pow1/3_binary64_1183`

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 (sin.f64 t))

series496.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
151.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
74.0ms	(cbrt.f64 (sin.f64 t))
48.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4921	3251
1	4921	3251

prune208.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	173	7	180

Merged error: 0.1b

Counts

180 → 7

Compiler

Compiled 7791 to 1101 computations (85.9% saved)

regimes197.0ms (2%)

Compiler: Compiled 2411 to 1369 computations (43.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	50
1	25	50

end0.0ms (0%)

sample4.0s (41.6%)

Algorithm

1×

intervals

Results

1.8s	2064×	body	1024	valid
832.0ms	4479×	body	128	valid
534.0ms	960×	body	512	valid
181.0ms	491×	body	256	valid
9.0ms	6×	body	2048	valid

Compiler

Compiled 518 to 297 computations (42.7% saved)

Details

analyze2.0s (20.9%)

sample123.0ms (1.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize21.0ms (0.2%)

rewrite48.0ms (0.5%)

series385.0ms (4%)

simplify112.0ms (1.2%)

prune212.0ms (2.2%)

localize24.0ms (0.2%)

rewrite45.0ms (0.5%)

series455.0ms (4.7%)

simplify115.0ms (1.2%)

prune205.0ms (2.1%)

localize28.0ms (0.3%)

rewrite40.0ms (0.4%)

series428.0ms (4.4%)

simplify101.0ms (1%)

prune211.0ms (2.2%)

localize30.0ms (0.3%)

rewrite42.0ms (0.4%)

series496.0ms (5.1%)

simplify107.0ms (1.1%)

prune208.0ms (2.1%)

regimes197.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.0s (41.6%)

Profiling