Details

analyze5.0s (8.2%)

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)

sample952.0ms (1.6%)

Algorithm

1×

intervals

Results

280.0ms	48×	body	4096	invalid
236.0ms	56×	body	2048	invalid
130.0ms	119×	body	1024	valid
86.0ms	45×	body	2048	valid
68.0ms	16×	body	4096	valid
37.0ms	48×	body	512	valid
22.0ms	21×	body	1024	invalid
12.0ms	16×	body	512	invalid
9.0ms	36×	body	128	invalid
6.0ms	12×	body	256	invalid
5.0ms	19×	body	128	valid
5.0ms	9×	body	256	valid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify203.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5185	32

prune10.0ms (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)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.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 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))
27.9b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite850.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

23.7b

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` `pow-prod-down_binary64_490` `associate-/r/_binary64_365`
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:

42.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
40.0ms	(/.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)))
26.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 6229 to 2967 computations (52.4% saved)

series3.2s (5.2%)

Error

22.3b

Counts

4 → 35

Calls

4 calls:

1.2s	(/.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)))
842.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
821.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
194.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2137 to 1705 computations (20.2% saved)

simplify185.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5309	6204

prune623.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	233	8	241
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	234	8	242

Error

16.1b

Counts

242 → 8

Compiler

Compiled 5967 to 3034 computations (49.2% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.3b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
20.4b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite390.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

10.4b

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:

28.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
18.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
13.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3652 to 1381 computations (62.2% saved)

series1.4s (2.3%)

Error

16.1b

Counts

4 → 25

Calls

4 calls:

889.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
267.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
164.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
34.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1411 to 1039 computations (26.4% saved)

simplify139.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4989	2748
1	4989	2748

prune307.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	145	12	157

Error

10.5b

Counts

157 → 12

Compiler

Compiled 3456 to 1570 computations (54.6% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.3b	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
15.0b	(/.f64 (.f64 l l) (.f64 k k))

rewrite320.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

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:

26.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
13.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
13.0ms	(/.f64 (.f64 l l) (.f64 k k))
5.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3314 to 1154 computations (65.2% saved)

series1.3s (2.1%)

Error

10.5b

Counts

4 → 25

Calls

4 calls:

866.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
172.0ms	(/.f64 (.f64 l l) (.f64 k k))
172.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
43.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1418 to 1066 computations (24.8% saved)

simplify165.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4985	2376
1	4985	2376

prune311.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	138	15	153

Error

3.9b

Counts

153 → 15

Compiler

Compiled 3333 to 1525 computations (54.2% saved)

localize29.0ms (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)
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.3b	(/.f64 (.f64 (.f64 (/.f64 l k) (/.f64 l k)) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite496.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

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:

29.0ms	(/.f64 (.f64 (.f64 (/.f64 l k) (/.f64 l k)) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
28.0ms	(*.f64 (/.f64 l k) (/.f64 l k))
12.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 4672 to 1652 computations (64.6% saved)

series1.3s (2.2%)

Error

3.9b

Counts

4 → 25

Calls

4 calls:

926.0ms	(/.f64 (.f64 (.f64 (/.f64 l k) (/.f64 l k)) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
168.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
162.0ms	(*.f64 (/.f64 l k) (/.f64 l k))
44.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1418 to 1047 computations (26.2% saved)

simplify160.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4972	2973
1	4972	2973

prune401.0ms (0.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	174	15	189
Fresh	7	6	13
Picked	1	0	1
Done	1	0	1
Total	183	21	204

Error

2.0b

Counts

204 → 21

Compiler

Compiled 4153 to 1796 computations (56.8% saved)

regimes6.9s (11.3%)

Accuracy

Total 5.1b remaining (75.1%)

Threshold costs 0b (0%)

Compiler

Compiled 36323 to 26684 computations (26.5% saved)

bsearch22.0ms (0%)

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	107
1	44	107

end0.0ms (0%)

sample36.1s (59.3%)

Algorithm

1×

intervals

Results

8.0s	1229×	body	4096	invalid
4.3s	3895×	body	1024	valid
4.0s	1070×	body	2048	invalid
1.9s	1045×	body	2048	valid
1.7s	468×	body	4096	valid
1.1s	1357×	body	512	valid
764.0ms	679×	body	1024	invalid
357.0ms	474×	body	512	invalid
274.0ms	1081×	body	128	invalid
235.0ms	440×	body	256	valid
211.0ms	795×	body	128	valid
130.0ms	265×	body	256	invalid

Compiler

Compiled 5661 to 4143 computations (26.8% saved)

Details

analyze5.0s (8.2%)

sample952.0ms (1.6%)

simplify203.0ms (0.3%)

prune10.0ms (0%)

localize44.0ms (0.1%)

rewrite850.0ms (1.4%)

series3.2s (5.2%)

simplify185.0ms (0.3%)

prune623.0ms (1%)

localize32.0ms (0.1%)

rewrite390.0ms (0.6%)

series1.4s (2.3%)

simplify139.0ms (0.2%)

prune307.0ms (0.5%)

localize30.0ms (0%)

rewrite320.0ms (0.5%)

series1.3s (2.1%)

simplify165.0ms (0.3%)

prune311.0ms (0.5%)

localize29.0ms (0%)

rewrite496.0ms (0.8%)

series1.3s (2.2%)

simplify160.0ms (0.3%)

prune401.0ms (0.7%)

regimes6.9s (11.3%)

bsearch22.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample36.1s (59.3%)

Profiling