Details

analyze704.0ms (11.7%)

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)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	63×	body	1024	valid
6.0ms	146×	body	128	valid
3.0ms	28×	body	512	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

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

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

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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` `difference-of-squares_binary64_729` `add-cbrt-cube_binary64_796`
8×	`tan-quot_binary64_919`
6×	`add-log-exp_binary64_799` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
5×	`associate-/l*_binary64_705`
3×	`associate-/r*_binary64_704`
2×	`pow2_binary64_841` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `prod-exp_binary64_809` `associate-/r/_binary64_706` `associate-/l/_binary64_707` `pow-sqr_binary64_733` `pow-plus_binary64_823` `frac-times_binary64_770` `associate-r/_binary64_702` `cbrt-unprod_binary64_793` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`
1×	`diff-log_binary64_852` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `flip3-+_binary64_763` `cancel-sign-sub-inv_binary64_726` `div-inv_binary64_757` `flip-+_binary64_734` `div-sub_binary64_765` `div-exp_binary64_811` `clear-num_binary64_759` `sub-neg_binary64_753`

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))))
6.0ms	(*.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)))

series339.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

199.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
49.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
46.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
45.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	2005
1	4956	2005

prune176.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	110	12	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	12	123

Merged error: 0.0b

Counts

123 → 12

Compiler

Compiled 2718 to 1589 computations (41.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
0.2b	(pow.f64 (tan.f64 x) 2)
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.5b	(exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_782`
29×	`*-un-lft-identity_binary64_760`
24×	`exp-prod_binary64_812`
18×	`exp-sum_binary64_806`
17×	`add-cube-cbrt_binary64_795`
16×	`cancel-sign-sub-inv_binary64_726` `difference-of-squares_binary64_729`
13×	`log-pow_binary64_849` `pow1_binary64_821` `unpow-prod-down_binary64_839`
12×	`log-prod_binary64_846`
7×	`unpow2_binary64_825` `add-exp-log_binary64_798` `add-log-exp_binary64_799` `sqr-pow_binary64_732`
6×	`add-cbrt-cube_binary64_796`
4×	`tan-quot_binary64_919`
3×	`swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701` `pow-unpow_binary64_837`
2×	`exp-diff_binary64_808` `rem-exp-log_binary64_800` `distribute-lft-out--_binary64_712` `sub-neg_binary64_753`
1×	`pow2_binary64_841` `diff-log_binary64_852` `log-div_binary64_847` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `prod-exp_binary64_809` `pow-sqr_binary64_733` `pow-exp_binary64_828` `pow-plus_binary64_823` `pow-to-exp_binary64_829` `frac-times_binary64_770` `associate-r/_binary64_702` `rem-log-exp_binary64_801` `cbrt-unprod_binary64_793` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831` `*-commutative_binary64_691` `pow-pow_binary64_832`

Counts

4 → 111

Calls

4 calls:

9.0ms	(log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
9.0ms	(exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 2)

series355.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(log.f64 (exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2))))
90.0ms	(exp.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)))
42.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
37.0ms	(pow.f64 (tan.f64 x) 2)

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4970	1187
1	4970	1187

prune144.0ms (2.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	122	13	135

Merged error: 0.0b

Counts

135 → 13

Compiler

Compiled 2655 to 1629 computations (38.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (*.f64 E.f64 (exp.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
0.2b	(pow.f64 (tan.f64 x) 2)
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.5b	(exp.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`exp-prod_binary64_812`
17×	`add-sqr-sqrt_binary64_782`
15×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `pow1_binary64_821`
9×	`add-exp-log_binary64_798` `unpow-prod-down_binary64_839`
8×	`distribute-lft-neg-in_binary64_717` `distribute-rgt-neg-in_binary64_718`
6×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
4×	`tan-quot_binary64_919`
3×	`log-div_binary64_847` `unpow2_binary64_825` `prod-exp_binary64_809` `exp-neg_binary64_807` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701` `associate-*r/_binary64_702` `rem-log-exp_binary64_801` `sqr-pow_binary64_732` `pow-unpow_binary64_837`
2×	`exp-diff_binary64_808` `rem-exp-log_binary64_800` `neg-sub0_binary64_755` `log-pow_binary64_849` `pow-prod-down_binary64_831`
1×	`neg-mul-1_binary64_756` `pow2_binary64_841` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `pow-sqr_binary64_733` `pow-exp_binary64_828` `pow-plus_binary64_823` `pow-to-exp_binary64_829` `frac-times_binary64_770` `neg-log_binary64_853` `cbrt-unprod_binary64_793` `pow-prod-up_binary64_830` `un-div-inv_binary64_758` `-commutative_binary64_691` `pow-pow_binary64_832` `log-prod_binary64_846` `e-exp-1_binary64_805`

Counts

4 → 93

Calls

4 calls:

11.0ms	(log.f64 (*.f64 E.f64 (exp.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
5.0ms	(exp.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))
5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
3.0ms	(pow.f64 (tan.f64 x) 2)

series426.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(log.f64 (*.f64 E.f64 (exp.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
98.0ms	(exp.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))
47.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
42.0ms	(pow.f64 (tan.f64 x) 2)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5251	933

prune123.0ms (2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	105	13	118

Merged error: 0.0b

Counts

118 → 13

Compiler

Compiled 2367 to 1393 computations (41.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (*.f64 E.f64 (pow.f64 E.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
0.2b	(pow.f64 (tan.f64 x) 2)
0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
0.7b	(pow.f64 E.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow-unpow_binary64_837`
18×	`add-sqr-sqrt_binary64_782`
17×	`add-exp-log_binary64_798`
16×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
15×	`pow1_binary64_821`
12×	`unpow-prod-down_binary64_839`
9×	`prod-exp_binary64_809` `rem-log-exp_binary64_801`
8×	`distribute-lft-neg-in_binary64_717` `distribute-rgt-neg-in_binary64_718`
7×	`pow-exp_binary64_828` `e-exp-1_binary64_805`
6×	`add-cbrt-cube_binary64_796`
4×	`add-log-exp_binary64_799` `pow-to-exp_binary64_829` `tan-quot_binary64_919` `sqr-pow_binary64_732`
3×	`log-div_binary64_847` `unpow2_binary64_825` `pow-neg_binary64_833` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701` `associate-*r/_binary64_702`
2×	`neg-sub0_binary64_755` `log-pow_binary64_849` `pow-prod-up_binary64_830` `pow-pow_binary64_832` `pow-sub_binary64_836`
1×	`neg-mul-1_binary64_756` `pow2_binary64_841` `unswap-sqr_binary64_728` `associate-l/_binary64_703` `pow-sqr_binary64_733` `pow-plus_binary64_823` `frac-times_binary64_770` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `un-div-inv_binary64_758` `-commutative_binary64_691` `log-prod_binary64_846`

Counts

4 → 105

Calls

4 calls:

5.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
5.0ms	(log.f64 (*.f64 E.f64 (pow.f64 E.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
4.0ms	(pow.f64 E.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))
3.0ms	(pow.f64 (tan.f64 x) 2)

series489.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

269.0ms	(log.f64 (*.f64 E.f64 (pow.f64 E.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))))
132.0ms	(pow.f64 E.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)))
47.0ms	(*.f64 (tan.f64 x) (tan.f64 x))
39.0ms	(pow.f64 (tan.f64 x) 2)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4891	1070
1	4891	1070

prune118.0ms (2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	117	13	130

Merged error: 0.0b

Counts

130 → 13

Compiler

Compiled 2413 to 1322 computations (45.2% saved)

regimes409.0ms (6.8%)

Compiler: Compiled 4762 to 3584 computations (24.7% 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%)

sample2.1s (34.7%)

Algorithm

1×

intervals

Results

345.0ms	1993×	body	1024	valid
203.0ms	4487×	body	128	valid
125.0ms	998×	body	512	valid
46.0ms	515×	body	256	valid
2.0ms	7×	body	2048	valid

Compiler

Compiled 1209 to 909 computations (24.8% saved)

Details

analyze704.0ms (11.7%)

sample29.0ms (0.5%)

simplify111.0ms (1.8%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite30.0ms (0.5%)

series339.0ms (5.6%)

simplify82.0ms (1.4%)

prune176.0ms (2.9%)

localize11.0ms (0.2%)

rewrite35.0ms (0.6%)

series355.0ms (5.9%)

simplify95.0ms (1.6%)

prune144.0ms (2.4%)

localize12.0ms (0.2%)

rewrite32.0ms (0.5%)

series426.0ms (7.1%)

simplify63.0ms (1.1%)

prune123.0ms (2%)

localize15.0ms (0.3%)

rewrite26.0ms (0.4%)

series489.0ms (8.1%)

simplify91.0ms (1.5%)

prune118.0ms (2%)

regimes409.0ms (6.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (34.7%)

Profiling