Details

analyze2.7s (12%)

Algorithm

1×

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample429.0ms (1.9%)

Algorithm

1×

intervals

Results

125.0ms	36×	body	4096	invalid
79.0ms	117×	body	1024	valid
55.0ms	34×	body	2048	invalid
52.0ms	19×	body	4096	valid
39.0ms	35×	body	2048	valid
20.0ms	44×	body	512	valid
14.0ms	23×	body	1024	invalid
9.0ms	36×	body	128	invalid
6.0ms	15×	body	512	invalid
5.0ms	18×	body	256	valid
3.0ms	23×	body	128	valid
2.0ms	9×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify176.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5185	32

prune8.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 40.4b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
1.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
17.3b	(/.f64 (pow.f64 t 3) (*.f64 l l))
27.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite103.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`add-exp-log_binary64_449`
229×	`prod-exp_binary64_460`
115×	`div-exp_binary64_462`
65×	`add-cbrt-cube_binary64_447`
56×	`pow-exp_binary64_479`
40×	`times-frac_binary64_420`
38×	`pow-to-exp_binary64_480`
34×	`add-sqr-sqrt_binary64_435`
31×	`cbrt-unprod_binary64_444`
25×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
23×	`unpow-prod-down_binary64_490`
21×	`associate-r_binary64_356`
17×	`associate-l_binary64_357`
15×	`associate-/l*_binary64_361`
14×	`cbrt-undiv_binary64_445`
13×	`associate-*l/_binary64_359`
10×	`cube-prod_binary64_439`
6×	`pow1_binary64_472`
5×	`sqr-pow_binary64_386` `unswap-sqr_binary64_382`
4×	`div-inv_binary64_411` `add-log-exp_binary64_450` `tan-quot_binary64_570`
3×	`associate-/r/_binary64_362` `cube-mult_binary64_441` `unpow3_binary64_477`
2×	`clear-num_binary64_413` `-commutative_binary64_347` `frac-2neg_binary64_425` `frac-times_binary64_424` `associate-r/_binary64_358` `associate-/r*_binary64_360`
1×	`pow-prod-down_binary64_482` `unpow2_binary64_476`

Counts

4 → 221

Calls

4 calls:

24.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
23.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
12.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
8.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

series1.5s (6.5%)

Counts

4 → 12

Calls

4 calls:

653.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
614.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
135.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
48.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5945	5817

prune351.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	221	12	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	222	12	234

Merged error: 14.6b

Counts

234 → 12

Compiler

Compiled 6078 to 3126 computations (48.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
2.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.4b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
21.8b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite52.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

163×	`add-exp-log_binary64_449`
102×	`prod-exp_binary64_460`
87×	`add-cbrt-cube_binary64_447`
48×	`cbrt-unprod_binary64_444`
27×	`div-exp_binary64_462`
15×	`cbrt-undiv_binary64_445` `add-sqr-sqrt_binary64_435`
10×	`pow1_binary64_472` `pow-exp_binary64_479` `pow-to-exp_binary64_480`
9×	`add-cube-cbrt_binary64_446` `-un-lft-identity_binary64_414` `associate-r*_binary64_356`
7×	`unpow-prod-down_binary64_490`
4×	`associate-l_binary64_357` `add-log-exp_binary64_450` `unswap-sqr_binary64_382`
3×	`pow-unpow_binary64_488` `sqr-pow_binary64_386` `pow-prod-down_binary64_482` `unpow2_binary64_476`
2×	`*-commutative_binary64_347`
1×	`clear-num_binary64_413` `times-frac_binary64_420` `div-inv_binary64_411` `pow-pow_binary64_483` `frac-2neg_binary64_425` `associate-/l_binary64_361` `associate-/r_binary64_360`

Counts

4 → 124

Calls

4 calls:

16.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
10.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series558.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

338.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
115.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
77.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
28.0ms	(pow.f64 (sin.f64 k) 2)

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4972	2528
1	4972	2528

prune165.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	130	6	136
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	133	15	148

Merged error: 9.6b

Counts

148 → 15

Compiler

Compiled 3369 to 1573 computations (53.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
2.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.4b	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 (cos.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))
19.1b	(/.f64 (.f64 l l) (.f64 k k))

rewrite49.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

142×	`add-exp-log_binary64_449`
87×	`add-cbrt-cube_binary64_447`
67×	`prod-exp_binary64_460`
44×	`div-exp_binary64_462`
37×	`cbrt-unprod_binary64_444`
26×	`cbrt-undiv_binary64_445`
21×	`add-sqr-sqrt_binary64_435`
15×	`associate-r_binary64_356`
12×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
8×	`associate-l_binary64_357`
7×	`pow1_binary64_472` `pow-exp_binary64_479` `pow-to-exp_binary64_480` `unpow-prod-down_binary64_490`
6×	`times-frac_binary64_420` `unswap-sqr_binary64_382`
4×	`add-log-exp_binary64_450`
3×	`div-inv_binary64_411` `pow-unpow_binary64_488` `sqr-pow_binary64_386` `unpow2_binary64_476`
2×	`*-commutative_binary64_347`
1×	`clear-num_binary64_413` `associate-l/_binary64_359` `pow-pow_binary64_483` `pow-prod-down_binary64_482` `frac-2neg_binary64_425` `associate-/l_binary64_361` `frac-times_binary64_424` `associate-r/_binary64_358` `associate-/r_binary64_360`

Counts

4 → 132

Calls

4 calls:

16.0ms	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 (cos.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))
7.0ms	(/.f64 (.f64 l l) (.f64 k k))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series461.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

321.0ms	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 (cos.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))
76.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
38.0ms	(/.f64 (.f64 l l) (.f64 k k))
25.0ms	(pow.f64 (sin.f64 k) 2)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4967	2574
1	4967	2574

prune184.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	135	9	144
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	141	18	159

Merged error: 2.9b

Counts

159 → 18

Compiler

Compiled 3592 to 1641 computations (54.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.6b	(.f64 (/.f64 l k) (.f64 (/.f64 l k) (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
2.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.7b	(.f64 (/.f64 l k) (/.f64 (cos.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite65.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`add-exp-log_binary64_449`
92×	`add-cbrt-cube_binary64_447`
73×	`prod-exp_binary64_460`
50×	`div-exp_binary64_462`
39×	`cbrt-unprod_binary64_444`
36×	`add-sqr-sqrt_binary64_435`
29×	`associate-l_binary64_357`
28×	`cbrt-undiv_binary64_445`
25×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
22×	`times-frac_binary64_420`
16×	`associate-r_binary64_356`
12×	`pow1_binary64_472`
8×	`pow-exp_binary64_479` `pow-to-exp_binary64_480`
7×	`unpow-prod-down_binary64_490`
6×	`unswap-sqr_binary64_382` `frac-times_binary64_424` `associate-*r/_binary64_358`
4×	`associate-*l/_binary64_359` `pow-prod-down_binary64_482` `add-log-exp_binary64_450`
3×	`div-inv_binary64_411` `*-commutative_binary64_347` `pow-unpow_binary64_488` `sqr-pow_binary64_386` `unpow2_binary64_476`
1×	`pow-pow_binary64_483`

Counts

4 → 162

Calls

4 calls:

17.0ms	(.f64 (/.f64 l k) (.f64 (/.f64 l k) (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
15.0ms	(.f64 (/.f64 l k) (/.f64 (cos.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))
9.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series750.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

330.0ms	(.f64 (/.f64 l k) (/.f64 (cos.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))
318.0ms	(.f64 (/.f64 l k) (.f64 (/.f64 l k) (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
77.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
26.0ms	(pow.f64 (sin.f64 k) 2)

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5034	3505

prune203.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	164	10	174
Fresh	10	7	17
Picked	0	1	1
Done	0	0	0
Total	174	18	192

Merged error: 0.6b

Counts

192 → 18

Compiler

Compiled 3990 to 1847 computations (53.7% saved)

regimes174.0ms (0.8%)

Compiler: Compiled 1843 to 1344 computations (27.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	19	31

end0.0ms (0%)

sample14.0s (62.9%)

Algorithm

1×

intervals

Results

4.5s	1219×	body	4096	invalid
2.5s	3806×	body	1024	valid
2.1s	1042×	body	2048	invalid
1.1s	982×	body	2048	valid
1.1s	494×	body	4096	valid
627.0ms	1427×	body	512	valid
404.0ms	674×	body	1024	invalid
182.0ms	466×	body	512	invalid
149.0ms	491×	body	256	valid
141.0ms	1000×	body	128	invalid
127.0ms	800×	body	128	valid
80.0ms	289×	body	256	invalid

Compiler

Compiled 480 to 348 computations (27.5% saved)

Details

analyze2.7s (12%)

sample429.0ms (1.9%)

simplify176.0ms (0.8%)

prune8.0ms (0%)

localize19.0ms (0.1%)

rewrite103.0ms (0.5%)

series1.5s (6.5%)

simplify88.0ms (0.4%)

prune351.0ms (1.6%)

localize17.0ms (0.1%)

rewrite52.0ms (0.2%)

series558.0ms (2.5%)

simplify87.0ms (0.4%)

prune165.0ms (0.7%)

localize18.0ms (0.1%)

rewrite49.0ms (0.2%)

series461.0ms (2.1%)

simplify69.0ms (0.3%)

prune184.0ms (0.8%)

localize15.0ms (0.1%)

rewrite65.0ms (0.3%)

series750.0ms (3.4%)

simplify78.0ms (0.4%)

prune203.0ms (0.9%)

regimes174.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample14.0s (62.9%)

Profiling