Details

analyze491.0ms (5.4%)

Algorithm

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)

sample31.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	67×	body	1024	valid
6.0ms	148×	body	128	valid
3.0ms	28×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify191.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4853	24
1	4853	24

prune2.0ms (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)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite188.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_782`
27×	`*-un-lft-identity_binary64_760`
22×	`add-cube-cbrt_binary64_795`
18×	`pow1_binary64_821`
15×	`times-frac_binary64_766`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `difference-of-squares_binary64_729`
8×	`tan-quot_binary64_919`
6×	`add-log-exp_binary64_799` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
5×	`associate-/l*_binary64_705`
3×	`associate-/r*_binary64_704`
2×	`pow2_binary64_841` `pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `pow-sqr_binary64_733` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691` `flip3--_binary64_764` `associate-/l/_binary64_707` `flip--_binary64_735` `associate-/r/_binary64_706`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 110

Calls

4 calls:

11.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 2625 to 1007 computations (61.6% saved)

series396.0ms (4.3%)

Error

0.2b

Counts

4 → 22

Calls

4 calls:

193.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
65.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
61.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
54.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 982 to 723 computations (26.4% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4910	2365
1	4910	2365

prune177.0ms (1.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	119	13	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	13	133

Error

0.0b

Counts

133 → 13

Compiler

Compiled 3016 to 1363 computations (54.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b	(/.f64 1 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.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))

rewrite298.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

123×	`times-frac_binary64_766`
87×	`add-sqr-sqrt_binary64_782`
83×	`*-un-lft-identity_binary64_760`
70×	`add-cube-cbrt_binary64_795`
26×	`difference-of-squares_binary64_729`
21×	`associate-/r*_binary64_704`
19×	`pow1_binary64_821` `add-exp-log_binary64_798`
13×	`add-cbrt-cube_binary64_796`
9×	`associate-/r/_binary64_706`
8×	`tan-quot_binary64_919`
7×	`div-exp_binary64_811`
6×	`add-log-exp_binary64_799` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
5×	`div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735`
3×	`cbrt-undiv_binary64_794` `associate-/l*_binary64_705`
2×	`pow2_binary64_841` `pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `pow-sqr_binary64_733` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691` `1-exp_binary64_804` `rec-exp_binary64_810`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834` `frac-2neg_binary64_771` `clear-num_binary64_759` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

Compiler

Compiled 5389 to 2588 computations (52% saved)

series367.0ms (4%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

179.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
60.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
58.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
51.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1062 to 803 computations (24.4% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5425	4800

prune289.0ms (3.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	195	5	200
Fresh	6	6	12
Picked	0	1	1
Done	0	0	0
Total	201	12	213

Error

0.0b

Counts

213 → 12

Compiler

Compiled 5011 to 3242 computations (35.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))

rewrite383.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

148×	`*-un-lft-identity_binary64_760`
116×	`add-sqr-sqrt_binary64_782`
96×	`times-frac_binary64_766`
72×	`difference-of-squares_binary64_729`
55×	`log-pow_binary64_849`
54×	`exp-prod_binary64_812`
44×	`add-cube-cbrt_binary64_795`
25×	`distribute-lft-out_binary64_711`
24×	`unpow-prod-down_binary64_839`
20×	`unpow2_binary64_825` `sqr-pow_binary64_732`
12×	`associate-/l*_binary64_705`
9×	`distribute-lft-out--_binary64_712`
8×	`add-exp-log_binary64_798`
7×	`pow1_binary64_821`
6×	`add-cbrt-cube_binary64_796` `pow-unpow_binary64_837`
4×	`associate-/r/_binary64_706` `add-log-exp_binary64_799` `associate-/r*_binary64_704`
3×	`log-prod_binary64_846`
2×	`div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `div-sub_binary64_765` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `associate-/l/_binary64_707`
1×	`exp-diff_binary64_808` `log-div_binary64_847` `rem-log-exp_binary64_801` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735`

Counts

4 → 184

Calls

4 calls:

21.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
13.0ms	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
3.0ms	(pow.f64 (tan.f64 x) 2)
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 5063 to 3786 computations (25.2% saved)

series710.0ms (7.8%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

395.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))))
177.0ms	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 2)))
63.0ms	(pow.f64 (tan.f64 x) 2)
52.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1020 to 852 computations (16.5% saved)

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5305	4420

prune311.0ms (3.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	206	12	218

Error

0.0b

Counts

218 → 12

Compiler

Compiled 4976 to 3555 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite177.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

38×	`add-sqr-sqrt_binary64_782`
26×	`*-un-lft-identity_binary64_760`
25×	`pow1_binary64_821`
18×	`add-cube-cbrt_binary64_795`
12×	`tan-quot_binary64_919`
11×	`times-frac_binary64_766`
10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`cancel-sign-sub-inv_binary64_726` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
6×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729` `div-inv_binary64_757` `associate-/r/_binary64_706`
5×	`distribute-rgt-out--_binary64_714`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `pow2_binary64_841` `pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `pow-sqr_binary64_733` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `associate-r/_binary64_702` `*-commutative_binary64_691`
2×	`distribute-lft-out--_binary64_712`
1×	`diff-log_binary64_852` `frac-sub_binary64_769` `sub-div_binary64_767` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735`

Counts

4 → 119

Calls

4 calls:

15.0ms	(-.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 3790 to 1373 computations (63.8% saved)

series496.0ms (5.4%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

310.0ms	(-.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (tan.f64 x) (tan.f64 x)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
57.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
57.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
49.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1307 to 854 computations (34.7% saved)

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4960	2340
1	4960	2340

prune144.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	2	7	9
Picked	0	1	1
Done	1	1	2
Total	141	10	151

Error

0.0b

Counts

151 → 10

Compiler

Compiled 3704 to 1568 computations (57.7% saved)

regimes918.0ms (10%)

Accuracy

Total 0.3b remaining (88.9%)

Threshold costs 0.3b (88.9%)

Compiler

Compiled 12614 to 7647 computations (39.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	22
1	29	22

end0.0ms (0%)

sample3.2s (34.7%)

Algorithm

1×

intervals

Results

331.0ms	1944×	body	1024	valid
192.0ms	4540×	body	128	valid
122.0ms	976×	body	512	valid
49.0ms	535×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 2855 to 1767 computations (38.1% saved)

Details

analyze491.0ms (5.4%)

sample31.0ms (0.3%)

simplify191.0ms (2.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite188.0ms (2.1%)

series396.0ms (4.3%)

simplify80.0ms (0.9%)

prune177.0ms (1.9%)

localize8.0ms (0.1%)

rewrite298.0ms (3.3%)

series367.0ms (4%)

simplify105.0ms (1.1%)

prune289.0ms (3.2%)

localize11.0ms (0.1%)

rewrite383.0ms (4.2%)

series710.0ms (7.8%)

simplify102.0ms (1.1%)

prune311.0ms (3.4%)

localize9.0ms (0.1%)

rewrite177.0ms (1.9%)

series496.0ms (5.4%)

simplify88.0ms (1%)

prune144.0ms (1.6%)

regimes918.0ms (10%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.2s (34.7%)

Profiling