Details

analyze2.6s (8%)

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)

sample404.0ms (1.2%)

Algorithm

1×

intervals

Results

131.0ms	44×	body	4096	invalid
71.0ms	120×	body	1024	valid
68.0ms	33×	body	2048	invalid
41.0ms	14×	body	4096	valid
20.0ms	20×	body	2048	valid
17.0ms	47×	body	512	valid
11.0ms	21×	body	1024	invalid
5.0ms	15×	body	512	invalid
5.0ms	43×	body	128	invalid
5.0ms	38×	body	128	valid
4.0ms	17×	body	256	valid
3.0ms	14×	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

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

34.5b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
1.5b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
23.7b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite357.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

21.9b

Rules

228×	`add-exp-log_binary64_457`
139×	`prod-exp_binary64_468`
52×	`add-cbrt-cube_binary64_455`
51×	`div-exp_binary64_470`
37×	`times-frac_binary64_425`
33×	`add-sqr-sqrt_binary64_441`
32×	`pow-exp_binary64_487`
26×	`cbrt-unprod_binary64_452`
24×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
23×	`pow-to-exp_binary64_488` `unpow-prod-down_binary64_498`
18×	`associate-l_binary64_360`
12×	`associate-/l*_binary64_364`
11×	`pow1_binary64_480`
10×	`associate-*l/_binary64_362` `cube-prod_binary64_447`
8×	`cbrt-undiv_binary64_453`
5×	`sqr-pow_binary64_391` `unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `tan-quot_binary64_578` `pow-prod-down_binary64_490`
3×	`div-inv_binary64_416` `*-commutative_binary64_350` `unpow3_binary64_485` `cube-mult_binary64_449`
2×	`frac-times_binary64_429` `associate-*r/_binary64_361`
1×	`unpow2_binary64_484` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363`

Counts

4 → 187

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))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5495 to 2635 computations (52% saved)

series1.3s (4%)

Error

19.8b

Counts

4 → 37

Calls

4 calls:

471.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
461.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
229.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
111.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2408 to 1889 computations (21.6% saved)

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5221	4769

prune300.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	213	11	224
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	214	11	225

Error

14.9b

Counts

225 → 11

Compiler

Compiled 5783 to 2935 computations (49.2% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.6b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
18.3b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite332.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

10.5b

Rules

320×	`add-exp-log_binary64_457`
183×	`prod-exp_binary64_468`
173×	`add-cbrt-cube_binary64_455`
87×	`cbrt-unprod_binary64_452`
82×	`div-exp_binary64_470`
46×	`cbrt-undiv_binary64_453`
23×	`add-sqr-sqrt_binary64_441`
20×	`times-frac_binary64_425`
17×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
15×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
9×	`pow1_binary64_480` `associate-r_binary64_359`
6×	`div-inv_binary64_416` `associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `associate-/l_binary64_364` `associate-l*_binary64_360` `unpow-prod-down_binary64_498` `unswap-sqr_binary64_387`
3×	`pow-prod-down_binary64_490`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `*-commutative_binary64_350` `unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`associate-/r/_binary64_365`

Counts

4 → 184

Calls

4 calls:

15.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
14.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 6000 to 2263 computations (62.3% saved)

series1.2s (3.8%)

Error

14.8b

Counts

4 → 34

Calls

4 calls:

524.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
441.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
138.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
92.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 1908 to 1453 computations (23.8% saved)

simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5000	5645

prune275.0ms (0.8%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	202	16	218
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	205	24	229

Error

10.8b

Counts

229 → 24

Compiler

Compiled 5590 to 2592 computations (53.6% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
0.4b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
18.3b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite274.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

10.0b

Rules

204×	`add-exp-log_binary64_457`
128×	`add-cbrt-cube_binary64_455`
111×	`prod-exp_binary64_468`
61×	`cbrt-unprod_binary64_452`
55×	`div-exp_binary64_470`
37×	`cbrt-undiv_binary64_453`
25×	`add-sqr-sqrt_binary64_441`
20×	`times-frac_binary64_425`
19×	`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`
6×	`div-inv_binary64_416` `associate-/r*_binary64_363`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `associate-/l*_binary64_364` `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`
1×	`*-commutative_binary64_350` `associate-/r/_binary64_365` `pow-pow_binary64_491`

Counts

4 → 154

Calls

4 calls:

14.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
13.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 4970 to 2137 computations (57% saved)

series1.1s (3.4%)

Error

10.8b

Counts

4 → 31

Calls

4 calls:

527.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
446.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
89.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
25.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1749 to 1336 computations (23.6% saved)

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4968	4631
1	4968	4631

prune217.0ms (0.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	180	5	185
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	186	23	209

Error

10.4b

Counts

209 → 23

Compiler

Compiled 4891 to 2327 computations (52.4% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
7.8b	(/.f64 (*.f64 l l) k)
12.2b	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))

rewrite322.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

151×	`add-exp-log_binary64_457`
100×	`add-cbrt-cube_binary64_455`
73×	`times-frac_binary64_425`
60×	`prod-exp_binary64_468` `div-exp_binary64_470`
57×	`add-sqr-sqrt_binary64_441`
41×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
40×	`cbrt-undiv_binary64_453`
34×	`cbrt-unprod_binary64_452` `associate-r_binary64_359`
11×	`div-inv_binary64_416`
10×	`associate-l_binary64_360` `associate-/r*_binary64_363`
8×	`unswap-sqr_binary64_387`
6×	`pow1_binary64_480`
5×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
4×	`add-log-exp_binary64_458` `associate-/l*_binary64_364` `unpow-prod-down_binary64_498`
2×	`associate-/r/_binary64_365` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-l/_binary64_362` `associate-r/_binary64_361`

Counts

4 → 185

Calls

4 calls:

20.0ms	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
8.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(/.f64 (*.f64 l l) k)

Compiler

Compiled 5714 to 2626 computations (54% saved)

series983.0ms (3%)

Error

10.4b

Counts

4 → 30

Calls

4 calls:

531.0ms	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
253.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
107.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
64.0ms	(/.f64 (*.f64 l l) k)

Compiler

Compiled 1690 to 1250 computations (26% saved)

simplify142.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4979	5090
1	4979	5090

prune252.0ms (0.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	207	8	215
Fresh	9	13	22
Picked	1	0	1
Done	0	0	0
Total	217	21	238

Error

2.9b

Counts

238 → 21

Compiler

Compiled 5260 to 2463 computations (53.2% saved)

regimes3.8s (11.6%)

Accuracy

Total 4.7b remaining (65.3%)

Threshold costs 0b (0%)

Compiler

Compiled 44616 to 33109 computations (25.8% saved)

bsearch11.0ms (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	33	79
1	33	79

end0.0ms (0%)

sample18.3s (56.1%)

Algorithm

1×

intervals

Results

4.3s	1235×	body	4096	invalid
2.1s	1044×	body	2048	invalid
2.1s	3835×	body	1024	valid
1.0s	510×	body	4096	valid
980.0ms	1018×	body	2048	valid
521.0ms	1348×	body	512	valid
369.0ms	678×	body	1024	invalid
163.0ms	457×	body	512	invalid
133.0ms	1027×	body	128	invalid
122.0ms	487×	body	256	valid
110.0ms	802×	body	128	valid
66.0ms	271×	body	256	invalid

Compiler

Compiled 6732 to 5000 computations (25.7% saved)

Details

analyze2.6s (8%)

sample404.0ms (1.2%)

simplify21.0ms (0.1%)

prune5.0ms (0%)

localize19.0ms (0.1%)

rewrite357.0ms (1.1%)

series1.3s (4%)

simplify97.0ms (0.3%)

prune300.0ms (0.9%)

localize16.0ms (0%)

rewrite332.0ms (1%)

series1.2s (3.8%)

simplify115.0ms (0.4%)

prune275.0ms (0.8%)

localize14.0ms (0%)

rewrite274.0ms (0.8%)

series1.1s (3.4%)

simplify109.0ms (0.3%)

prune217.0ms (0.7%)

localize15.0ms (0%)

rewrite322.0ms (1%)

series983.0ms (3%)

simplify142.0ms (0.4%)

prune252.0ms (0.8%)

regimes3.8s (11.6%)

bsearch11.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample18.3s (56.1%)

Profiling