Details

analyze2.6s (9.2%)

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

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample444.0ms (1.6%)

Algorithm

1×

intervals

Results

160.0ms	53×	body	4096	invalid
85.0ms	42×	body	2048	invalid
63.0ms	121×	body	1024	valid
33.0ms	19×	body	4096	valid
22.0ms	25×	body	2048	valid
19.0ms	49×	body	512	valid
16.0ms	27×	body	1024	invalid
5.0ms	15×	body	512	invalid
4.0ms	34×	body	128	invalid
4.0ms	17×	body	256	invalid
4.0ms	29×	body	128	valid
3.0ms	13×	body	256	valid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5185	32

prune5.0ms (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

40.8b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(/.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)))
1.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
15.3b	(/.f64 (pow.f64 t 3) (*.f64 l l))
26.6b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite423.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

24.5b

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:

20.0ms	(.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)))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 6229 to 2967 computations (52.4% saved)

series1.8s (6.3%)

Error

20.3b

Counts

4 → 38

Calls

4 calls:

686.0ms	(/.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)))
509.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
459.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
106.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2351 to 1873 computations (20.3% saved)

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5227	6339

prune320.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	234	10	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	235	10	245

Error

16.4b

Counts

245 → 10

Compiler

Compiled 6111 to 3123 computations (48.9% saved)

localize14.0ms (0.1%)

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))
4.4b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
18.9b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite213.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

11.9b

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)

series842.0ms (3%)

Error

16.3b

Counts

4 → 32

Calls

4 calls:

514.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
157.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
109.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
29.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1861 to 1353 computations (27.3% saved)

simplify98.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4976	2902
1	4976	2902

prune210.0ms (0.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	146	10	156
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	149	17	166

Error

10.6b

Counts

166 → 17

Compiler

Compiled 3853 to 1857 computations (51.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
0.4b	(pow.f64 (sin.f64 k) 2)
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
18.9b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))

rewrite171.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

9.6b

Rules

107×	`add-exp-log_binary64_457`
65×	`add-cbrt-cube_binary64_455`
64×	`prod-exp_binary64_468`
34×	`cbrt-unprod_binary64_452`
18×	`div-exp_binary64_470`
16×	`add-sqr-sqrt_binary64_441`
12×	`cbrt-undiv_binary64_453`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`associate-r_binary64_359`
7×	`pow1_binary64_480` `unpow-prod-down_binary64_498`
6×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`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` `pow-prod-down_binary64_490`

Counts

4 → 107

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
6.0ms	(.f64 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 3092 to 1330 computations (57% saved)

series879.0ms (3.1%)

Error

10.6b

Counts

4 → 32

Calls

4 calls:

555.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
151.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
114.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
28.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1875 to 1357 computations (27.6% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4984	2434
1	4984	2434

prune168.0ms (0.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	134	5	139
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	140	16	156

Error

10.0b

Counts

156 → 16

Compiler

Compiled 3432 to 1628 computations (52.6% saved)

localize15.0ms (0.1%)

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))
8.3b	(/.f64 (*.f64 l l) k)
10.7b	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite180.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

109×	`add-exp-log_binary64_457`
65×	`add-cbrt-cube_binary64_455`
52×	`prod-exp_binary64_468`
32×	`div-exp_binary64_470`
26×	`cbrt-unprod_binary64_452`
20×	`cbrt-undiv_binary64_453`
17×	`add-sqr-sqrt_binary64_441`
11×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498`
6×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `times-frac_binary64_425` `associate-/r*_binary64_363` `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` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364`
1×	`associate-l/_binary64_362` `associate-/l/_binary64_366` `-commutative_binary64_350` `pow-pow_binary64_491`

Counts

4 → 112

Calls

4 calls:

12.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(/.f64 (*.f64 l l) k)
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3179 to 1253 computations (60.6% saved)

series757.0ms (2.7%)

Error

10.0b

Counts

4 → 30

Calls

4 calls:

511.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
112.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
73.0ms	(/.f64 (*.f64 l l) k)
30.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1748 to 1286 computations (26.4% saved)

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4985	2374
1	4985	2374

prune145.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	134	8	142
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	140	18	158

Error

6.3b

Counts

158 → 18

Compiler

Compiled 3122 to 1312 computations (58% saved)

regimes2.3s (8%)

Accuracy

Total 6.8b remaining (51.4%)

Threshold costs 0b (0%)

Compiler

Compiled 31057 to 23314 computations (24.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	29
1	19	29

end0.0ms (0%)

sample16.5s (58%)

Algorithm

1×

intervals

Results

4.2s	1250×	body	4096	invalid
2.1s	3850×	body	1024	valid
2.0s	1072×	body	2048	invalid
955.0ms	459×	body	4096	valid
938.0ms	978×	body	2048	valid
540.0ms	1424×	body	512	valid
371.0ms	671×	body	1024	invalid
164.0ms	458×	body	512	invalid
126.0ms	1003×	body	128	invalid
123.0ms	475×	body	256	valid
108.0ms	814×	body	128	valid
84.0ms	331×	body	256	invalid

Compiler

Compiled 4612 to 3471 computations (24.7% saved)

Details

analyze2.6s (9.2%)

sample444.0ms (1.6%)

simplify23.0ms (0.1%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite423.0ms (1.5%)

series1.8s (6.3%)

simplify118.0ms (0.4%)

prune320.0ms (1.1%)

localize14.0ms (0.1%)

rewrite213.0ms (0.7%)

series842.0ms (3%)

simplify98.0ms (0.3%)

prune210.0ms (0.7%)

localize17.0ms (0.1%)

rewrite171.0ms (0.6%)

series879.0ms (3.1%)

simplify77.0ms (0.3%)

prune168.0ms (0.6%)

localize15.0ms (0.1%)

rewrite180.0ms (0.6%)

series757.0ms (2.7%)

simplify87.0ms (0.3%)

prune145.0ms (0.5%)

regimes2.3s (8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample16.5s (58%)

Profiling