Details

analyze2.5s (8.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5080	128
0	3	3
1	3	3

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

Symmetry

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample382.0ms (1.3%)

Algorithm

1×

intervals

Results

128.0ms	37×	body	4096	invalid
65.0ms	125×	body	1024	valid
57.0ms	35×	body	2048	invalid
42.0ms	32×	body	2048	valid
24.0ms	18×	body	4096	valid
14.0ms	38×	body	512	valid
9.0ms	27×	body	128	invalid
8.0ms	12×	body	1024	invalid
5.0ms	13×	body	512	invalid
4.0ms	29×	body	128	valid
3.0ms	14×	body	256	valid
3.0ms	11×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify21.0ms (0.1%)

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

Error

40.7b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
1.1b	(/.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)))
15.1b	(/.f64 (pow.f64 t 3) (*.f64 l l))
29.2b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite426.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

25.2b

Rules

405×	`add-exp-log_binary64_457`
237×	`prod-exp_binary64_468`
115×	`div-exp_binary64_470`
70×	`add-cbrt-cube_binary64_455`
56×	`pow-exp_binary64_487`
38×	`pow-to-exp_binary64_488`
35×	`cbrt-unprod_binary64_452`
24×	`times-frac_binary64_425`
21×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
19×	`unpow-prod-down_binary64_498`
15×	`associate-l/_binary64_362` `associate-/l_binary64_364`
14×	`cbrt-undiv_binary64_453`
9×	`pow1_binary64_480`
6×	`tan-quot_binary64_578` `cube-prod_binary64_447`
4×	`add-log-exp_binary64_458`
3×	`frac-times_binary64_429` `associate-*r/_binary64_361` `div-inv_binary64_416` `sqr-pow_binary64_391` `associate-/r/_binary64_365` `pow-prod-down_binary64_490`
2×	`associate-l_binary64_360` `-commutative_binary64_350` `frac-2neg_binary64_430` `unpow3_binary64_485` `cube-mult_binary64_449` `clear-num_binary64_418` `associate-/r_binary64_363`
1×	`unpow2_binary64_484`

Counts

4 → 206

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
20.0ms	(/.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)))
13.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 6229 to 2967 computations (52.4% saved)

series1.7s (5.6%)

Error

24.3b

Counts

4 → 36

Calls

4 calls:

664.0ms	(/.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)))
474.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
419.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
97.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2189 to 1746 computations (20.2% saved)

simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5138	6235

prune323.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	229	13	242
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	13	243

Error

17.9b

Counts

243 → 13

Compiler

Compiled 6119 to 3146 computations (48.6% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
23.1b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite205.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

163×	`add-exp-log_binary64_457`
102×	`prod-exp_binary64_468`
87×	`add-cbrt-cube_binary64_455`
48×	`cbrt-unprod_binary64_452`
27×	`div-exp_binary64_470`
15×	`cbrt-undiv_binary64_453` `add-sqr-sqrt_binary64_441`
10×	`pow1_binary64_480` `pow-to-exp_binary64_488` `pow-exp_binary64_487`
9×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
7×	`unpow-prod-down_binary64_498`
4×	`add-log-exp_binary64_458` `associate-l_binary64_360` `unswap-sqr_binary64_387`
3×	`pow-prod-down_binary64_490` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-pow_binary64_491`

Counts

4 → 124

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3652 to 1381 computations (62.2% saved)

series816.0ms (2.7%)

Error

17.9b

Counts

4 → 29

Calls

4 calls:

527.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
146.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
93.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
24.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1651 to 1208 computations (26.8% saved)

simplify90.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5021	2821

prune180.0ms (0.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	144	9	153
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	145	21	166

Error

12.3b

Counts

166 → 21

Compiler

Compiled 3824 to 1855 computations (51.5% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
9.7b	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
17.2b	(/.f64 (.f64 l l) (.f64 k k))

rewrite170.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

134×	`add-exp-log_binary64_457`
74×	`add-cbrt-cube_binary64_455`
61×	`prod-exp_binary64_468`
44×	`div-exp_binary64_470`
29×	`cbrt-unprod_binary64_452`
24×	`cbrt-undiv_binary64_453`
15×	`add-sqr-sqrt_binary64_441`
9×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `associate-l_binary64_360` `pow-unpow_binary64_496`
2×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363`
1×	`associate-l/_binary64_362` `associate-/l/_binary64_366` `-commutative_binary64_350` `pow-pow_binary64_491`

Counts

4 → 116

Calls

4 calls:

14.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
7.0ms	(/.f64 (.f64 l l) (.f64 k k))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3314 to 1154 computations (65.2% saved)

series690.0ms (2.3%)

Error

12.3b

Counts

4 → 28

Calls

4 calls:

463.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
93.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
82.0ms	(/.f64 (.f64 l l) (.f64 k k))
26.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1606 to 1197 computations (25.5% saved)

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4988	2439
1	4988	2439

prune175.0ms (0.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	135	9	144
Fresh	8	12	20
Picked	1	0	1
Done	0	0	0
Total	144	21	165

Error

6.1b

Counts

165 → 21

Compiler

Compiled 3585 to 1696 computations (52.7% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 l k) (/.f64 l k))
0.4b	(pow.f64 (sin.f64 k) 2)
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
9.7b	(/.f64 (.f64 (.f64 (/.f64 l k) (/.f64 l k)) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite258.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

3.8b

Rules

134×	`add-exp-log_binary64_457`
74×	`add-cbrt-cube_binary64_455`
61×	`prod-exp_binary64_468`
55×	`add-sqr-sqrt_binary64_441`
44×	`div-exp_binary64_470`
41×	`times-frac_binary64_425`
37×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
29×	`cbrt-unprod_binary64_452`
24×	`cbrt-undiv_binary64_453`
21×	`associate-r_binary64_359`
16×	`associate-l_binary64_360`
13×	`swap-sqr_binary64_386`
12×	`pow1_binary64_480`
8×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `unswap-sqr_binary64_387`
7×	`unpow-prod-down_binary64_498`
5×	`div-inv_binary64_416` `associate-*l/_binary64_362`
4×	`add-log-exp_binary64_458`
3×	`associate-/l/_binary64_366` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`frac-times_binary64_429` `associate-r/_binary64_361` `-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-pow_binary64_491` `pow2_binary64_500` `pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-plus_binary64_482` `pow-sqr_binary64_392`

Counts

4 → 164

Calls

4 calls:

15.0ms	(/.f64 (.f64 (.f64 (/.f64 l k) (/.f64 l k)) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
11.0ms	(*.f64 (/.f64 l k) (/.f64 l k))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 4672 to 1652 computations (64.6% saved)

series721.0ms (2.4%)

Error

6.1b

Counts

4 → 28

Calls

4 calls:

497.0ms	(/.f64 (.f64 (.f64 (/.f64 l k) (/.f64 l k)) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
91.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
81.0ms	(*.f64 (/.f64 l k) (/.f64 l k))
26.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1606 to 1176 computations (26.8% saved)

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5126	3036

prune211.0ms (0.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	181	11	192
Fresh	7	13	20
Picked	1	0	1
Done	0	0	0
Total	189	24	213

Error

3.7b

Counts

213 → 24

Compiler

Compiled 4226 to 1827 computations (56.8% saved)

regimes3.7s (12.2%)

Accuracy

Total 4.6b remaining (66.4%)

Threshold costs 0b (0%)

Compiler

Compiled 40283 to 29543 computations (26.7% saved)

bsearch10.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	80
1	41	80

Removed

()

end0.0ms (0%)

sample17.5s (57.5%)

Algorithm

1×

intervals

Results

3.9s	1188×	body	4096	invalid
2.2s	1094×	body	2048	invalid
2.0s	3875×	body	1024	valid
978.0ms	1051×	body	2048	valid
961.0ms	478×	body	4096	valid
498.0ms	1340×	body	512	valid
355.0ms	666×	body	1024	invalid
166.0ms	469×	body	512	invalid
141.0ms	1088×	body	128	invalid
117.0ms	472×	body	256	valid
111.0ms	784×	body	128	valid
77.0ms	308×	body	256	invalid

Compiler

Compiled 6234 to 4563 computations (26.8% saved)

Details

analyze2.5s (8.2%)

sample382.0ms (1.3%)

simplify21.0ms (0.1%)

prune8.0ms (0%)

localize16.0ms (0.1%)

rewrite426.0ms (1.4%)

series1.7s (5.6%)

simplify108.0ms (0.4%)

prune323.0ms (1.1%)

localize14.0ms (0%)

rewrite205.0ms (0.7%)

series816.0ms (2.7%)

simplify90.0ms (0.3%)

prune180.0ms (0.6%)

localize14.0ms (0%)

rewrite170.0ms (0.6%)

series690.0ms (2.3%)

simplify85.0ms (0.3%)

prune175.0ms (0.6%)

localize15.0ms (0%)

rewrite258.0ms (0.8%)

series721.0ms (2.4%)

simplify81.0ms (0.3%)

prune211.0ms (0.7%)

regimes3.7s (12.2%)

bsearch10.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample17.5s (57.5%)

Profiling