Details

analyze1.3s (11.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4853	24
1	4853	24
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample57.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms	56×	body	1024	valid
16.0ms	145×	body	128	valid
8.0ms	33×	body	512	valid
3.0ms	22×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify201.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (191.0ms)

Iter	Nodes	Cost
0	4853	24
1	4853	24

prune5.0ms (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

0.3b

Counts

2 → 1

Compiler

Compiled 30 to 16 computations (46.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite55.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_1123`
27×	`*-un-lft-identity_binary64_1101`
22×	`add-cube-cbrt_binary64_1136`
18×	`pow1_binary64_1162`
15×	`times-frac_binary64_1107`
10×	`difference-of-squares_binary64_1070` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
8×	`tan-quot_binary64_1260`
6×	`add-log-exp_binary64_1140` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `associate-l_binary64_1042`
5×	`associate-/l*_binary64_1046`
3×	`associate-/r*_binary64_1045`
2×	`pow-plus_binary64_1164` `-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `frac-times_binary64_1111` `pow-prod-up_binary64_1171` `prod-exp_binary64_1150` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `associate-r/_binary64_1043` `associate-/r/_binary64_1047` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-*l/_binary64_1044` `pow2_binary64_1182`
1×	`diff-log_binary64_1193` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `clear-num_binary64_1100` `flip3-+_binary64_1104` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075` `cancel-sign-sub-inv_binary64_1067` `div-sub_binary64_1106`

Counts

4 → 110

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
11.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
10.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
6.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

series655.0ms (6%)

Counts

4 → 24

Calls

4 calls:

328.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
118.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
115.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
93.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 602 to 482 computations (19.9% saved)

simplify185.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4936	2173
1	4936	2173

prune386.0ms (3.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	123	11	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	11	135

Error

0.0b

Counts

135 → 11

Compiler

Compiled 2913 to 1699 computations (41.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (pow.f64 (tan.f64 x) 2) 1)))
0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(pow.f64 (tan.f64 x) 2)

rewrite140.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64_1101`
70×	`add-sqr-sqrt_binary64_1123`
68×	`times-frac_binary64_1107`
38×	`cancel-sign-sub-inv_binary64_1067`
29×	`add-cube-cbrt_binary64_1136`
24×	`unpow-prod-down_binary64_1180`
15×	`difference-of-squares_binary64_1070`
13×	`distribute-lft-out_binary64_1052`
10×	`sqr-pow_binary64_1073` `unpow2_binary64_1166`
9×	`pow-unpow_binary64_1178`
8×	`distribute-lft-out--_binary64_1053`
7×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `div-inv_binary64_1098`
6×	`add-log-exp_binary64_1140` `distribute-rgt-out--_binary64_1055` `associate-/r/_binary64_1047`
4×	`add-cbrt-cube_binary64_1137`
3×	`pow-exp_binary64_1169` `pow-pow_binary64_1173` `flip3-+_binary64_1104` `flip-+_binary64_1075` `pow-to-exp_binary64_1170`
1×	`diff-log_binary64_1193` `sub-div_binary64_1108` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `frac-sub_binary64_1110`

Counts

4 → 134

Calls

4 calls:

88.0ms	(-.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (pow.f64 (tan.f64 x) 2) 1)))
6.0ms	(pow.f64 (tan.f64 x) 2)
6.0ms	(pow.f64 (tan.f64 x) 2)
6.0ms	(pow.f64 (tan.f64 x) 2)

series863.0ms (7.9%)

Counts

4 → 24

Calls

4 calls:

519.0ms	(-.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (pow.f64 (tan.f64 x) 2) 1)))
117.0ms	(pow.f64 (tan.f64 x) 2)
115.0ms	(pow.f64 (tan.f64 x) 2)
112.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 816 to 676 computations (17.2% saved)

simplify233.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	4931	3535
1	4931	3535

prune470.0ms (4.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	157	12	169

Error

0.0b

Counts

169 → 12

Compiler

Compiled 4349 to 3093 computations (28.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))
0.2b	(*.f64 (tan.f64 x) (sin.f64 x))
0.2b	(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1123`
17×	`*-un-lft-identity_binary64_1101`
14×	`add-cube-cbrt_binary64_1136`
13×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
7×	`cancel-sign-sub-inv_binary64_1067`
6×	`add-log-exp_binary64_1140` `times-frac_binary64_1107` `associate-r_binary64_1041` `tan-quot_binary64_1260` `associate-l_binary64_1042`
3×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `swap-sqr_binary64_1068` `associate-l/_binary64_1044` `associate-/r_binary64_1045`
2×	`*-commutative_binary64_1032` `difference-of-squares_binary64_1070` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
1×	`pow-plus_binary64_1164` `diff-log_binary64_1193` `frac-times_binary64_1111` `pow-prod-up_binary64_1171` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `clear-num_binary64_1100` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l/_binary64_1048` `associate-r/_binary64_1043` `associate-/l_binary64_1046` `pow-sqr_binary64_1074` `pow2_binary64_1182`

Counts

4 → 90

Calls

4 calls:

13.0ms	(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))
12.0ms	(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
11.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
10.0ms	(*.f64 (tan.f64 x) (sin.f64 x))

series522.0ms (4.8%)

Counts

4 → 24

Calls

4 calls:

157.0ms	(/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))
151.0ms	(-.f64 1 (/.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x)))
109.0ms	(*.f64 (tan.f64 x) (sin.f64 x))
104.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 674 to 522 computations (22.6% saved)

simplify175.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4938	1573
1	4938	1573

prune232.0ms (2.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	114	12	126

Error

0.0b

Counts

126 → 12

Compiler

Compiled 2772 to 1154 computations (58.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6)))
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.6b	(pow.f64 (tan.f64 x) 6)
11.0b	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

rewrite52.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1123`
21×	`*-un-lft-identity_binary64_1101`
20×	`cbrt-prod_binary64_1132`
15×	`add-cube-cbrt_binary64_1136`
12×	`pow1_binary64_1162`
11×	`unpow-prod-down_binary64_1180`
10×	`cancel-sign-sub-inv_binary64_1067`
8×	`difference-of-squares_binary64_1070`
7×	`add-exp-log_binary64_1139`
6×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
5×	`sqr-pow_binary64_1073`
4×	`tan-quot_binary64_1260`
3×	`pow-unpow_binary64_1178` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `associate-l_binary64_1042`
1×	`pow-plus_binary64_1164` `diff-log_binary64_1193` `-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow1/3_binary64_1183` `frac-times_binary64_1111` `pow-prod-up_binary64_1171` `prod-exp_binary64_1150` `pow-pow_binary64_1173` `sub-neg_binary64_1094` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-r/_binary64_1043` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-*l/_binary64_1044` `pow2_binary64_1182` `pow-to-exp_binary64_1170`

Counts

4 → 90

Calls

4 calls:

18.0ms	(-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6)))
11.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
6.0ms	(pow.f64 (tan.f64 x) 6)
5.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))

series528.0ms (4.8%)

Counts

4 → 24

Calls

4 calls:

198.0ms	(pow.f64 (tan.f64 x) 6)
111.0ms	(-.f64 1 (cbrt.f64 (pow.f64 (tan.f64 x) 6)))
111.0ms	(cbrt.f64 (pow.f64 (tan.f64 x) 6))
108.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 642 to 526 computations (18.1% saved)

simplify195.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4878	1240
1	4878	1240

prune237.0ms (2.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	114	12	126

Error

Counts

126 → 12

Compiler

Compiled 2096 to 1230 computations (41.3% saved)

regimes740.0ms (6.7%)

Accuracy

Total 0.3b remaining (85%)

Threshold costs 0.3b (85%)

Compiler

Compiled 4218 to 3176 computations (24.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	24
1	27	24

end0.0ms (0%)

sample3.6s (33.1%)

Algorithm

1×

intervals

Results

636.0ms	1998×	body	1024	valid
355.0ms	4543×	body	128	valid
216.0ms	939×	body	512	valid
86.0ms	515×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 1074 to 805 computations (25% saved)

Details

analyze1.3s (11.5%)

sample57.0ms (0.5%)

simplify201.0ms (1.8%)

prune5.0ms (0%)

localize14.0ms (0.1%)

rewrite55.0ms (0.5%)

series655.0ms (6%)

simplify185.0ms (1.7%)

prune386.0ms (3.5%)

localize22.0ms (0.2%)

rewrite140.0ms (1.3%)

series863.0ms (7.9%)

simplify233.0ms (2.1%)

prune470.0ms (4.3%)

localize26.0ms (0.2%)

rewrite60.0ms (0.6%)

series522.0ms (4.8%)

simplify175.0ms (1.6%)

prune232.0ms (2.1%)

localize20.0ms (0.2%)

rewrite52.0ms (0.5%)

series528.0ms (4.8%)

simplify195.0ms (1.8%)

prune237.0ms (2.2%)

regimes740.0ms (6.7%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.6s (33.1%)

Profiling