Details

analyze701.0ms (8%)

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)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	62×	body	1024	valid
6.0ms	147×	body	128	valid
4.0ms	35×	body	512	valid
1.0ms	12×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4853	24
1	4853	24

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

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))

rewrite178.0ms (2%)

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:

7.0ms	(/.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 2625 to 1007 computations (61.6% saved)

series393.0ms (4.5%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

185.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
66.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
58.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
55.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 1044 to 767 computations (26.5% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4936	2173
1	4936	2173

prune198.0ms (2.3%)

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 2880 to 1668 computations (42.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite321.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

81×	`*-un-lft-identity_binary64_760`
70×	`add-sqr-sqrt_binary64_782`
68×	`times-frac_binary64_766`
38×	`cancel-sign-sub-inv_binary64_726`
29×	`add-cube-cbrt_binary64_795`
24×	`unpow-prod-down_binary64_839`
15×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
10×	`unpow2_binary64_825` `sqr-pow_binary64_732`
9×	`pow-unpow_binary64_837`
8×	`distribute-lft-out--_binary64_712`
7×	`pow1_binary64_821` `add-exp-log_binary64_798` `div-inv_binary64_757`
6×	`add-log-exp_binary64_799` `associate-/r/_binary64_706` `distribute-rgt-out--_binary64_714`
4×	`add-cbrt-cube_binary64_796`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
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 → 134

Calls

4 calls:

50.0ms	(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (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)
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 4250 to 3040 computations (28.5% saved)

series492.0ms (5.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

287.0ms	(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
61.0ms	(pow.f64 (tan.f64 x) 2)
57.0ms	(pow.f64 (tan.f64 x) 2)
54.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1412 to 1120 computations (20.7% saved)

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4943	3538
1	4943	3538

prune247.0ms (2.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	159	10	169

Error

0.0b

Counts

169 → 10

Compiler

Compiled 4342 to 3090 computations (28.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (tan.f64 x) 2)
0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
0.4b	(pow.f64 (tan.f64 x) 4)
0.6b	(pow.f64 (tan.f64 x) 6)

rewrite143.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_782`
14×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760` `pow1_binary64_821`
9×	`unpow-prod-down_binary64_839` `pow-unpow_binary64_837` `add-exp-log_binary64_798`
6×	`add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799` `tan-quot_binary64_919`
3×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `sqr-pow_binary64_732` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
1×	`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` `unpow2_binary64_825`

Counts

4 → 80

Calls

4 calls:

7.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 6)
3.0ms	(pow.f64 (tan.f64 x) 4)
3.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 2498 to 1461 computations (41.5% saved)

series370.0ms (4.2%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

120.0ms	(pow.f64 (tan.f64 x) 6)
88.0ms	(pow.f64 (tan.f64 x) 4)
66.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
65.0ms	(pow.f64 (tan.f64 x) 2)

Compiler

Compiled 1732 to 1245 computations (28.1% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5252	890

prune170.0ms (2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	100	12	112

Error

0.0b

Counts

112 → 12

Compiler

Compiled 3302 to 2058 computations (37.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 x) 2)
0.2b	(pow.f64 (sin.f64 x) 2)
0.2b	(pow.f64 (cos.f64 x) 2)
0.2b	(pow.f64 (cos.f64 x) 2)

rewrite110.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-cube-cbrt_binary64_795` `unpow-prod-down_binary64_839` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760` `pow-unpow_binary64_837`
8×	`pow1_binary64_821` `add-exp-log_binary64_798`
4×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `sqr-pow_binary64_732`

Counts

4 → 72

Calls

4 calls:

3.0ms	(pow.f64 (sin.f64 x) 2)
3.0ms	(pow.f64 (sin.f64 x) 2)
2.0ms	(pow.f64 (cos.f64 x) 2)
2.0ms	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 2016 to 1337 computations (33.7% saved)

series162.0ms (1.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

32.0ms	(pow.f64 (cos.f64 x) 2)
32.0ms	(pow.f64 (sin.f64 x) 2)
32.0ms	(pow.f64 (sin.f64 x) 2)
31.0ms	(pow.f64 (cos.f64 x) 2)

Compiler

Compiled 1488 to 1139 computations (23.5% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5000	822

prune128.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	96	12	108

Error

0.0b

Counts

108 → 12

Compiler

Compiled 2516 to 1634 computations (35.1% saved)

regimes1.0s (11.5%)

Accuracy

Total 0.3b remaining (89.7%)

Threshold costs 0.3b (89.7%)

Compiler

Compiled 12827 to 8185 computations (36.2% 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%)

sample3.6s (41.4%)

Algorithm

1×

intervals

Results

350.0ms	2023×	body	1024	valid
184.0ms	4537×	body	128	valid
118.0ms	940×	body	512	valid
45.0ms	495×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 2974 to 1933 computations (35% saved)

Details

analyze701.0ms (8%)

sample30.0ms (0.3%)

simplify108.0ms (1.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite178.0ms (2%)

series393.0ms (4.5%)

simplify82.0ms (0.9%)

prune198.0ms (2.3%)

localize9.0ms (0.1%)

rewrite321.0ms (3.7%)

series492.0ms (5.6%)

simplify97.0ms (1.1%)

prune247.0ms (2.8%)

localize15.0ms (0.2%)

rewrite143.0ms (1.6%)

series370.0ms (4.2%)

simplify58.0ms (0.7%)

prune170.0ms (2%)

localize11.0ms (0.1%)

rewrite110.0ms (1.3%)

series162.0ms (1.8%)

simplify73.0ms (0.8%)

prune128.0ms (1.5%)

regimes1.0s (11.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.6s (41.4%)

Profiling