Details

analyze3.0s (12.6%)

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
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample5.5s (23.6%)

Results

2.7s	2777×	body	1024	valid
939.0ms	1319×	body	512	valid
872.0ms	3568×	body	128	valid
370.0ms	1526×	body	128	invalid
264.0ms	583×	body	256	valid
113.0ms	165×	body	512	invalid
66.0ms	70×	body	1024	invalid
52.0ms	113×	body	256	invalid
13.0ms	9×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1249×	`rules-42_binary64`
854×	`rules-43_binary64`
587×	`rules-40_binary64`
587×	`rules-41_binary64`
424×	`rules-20_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	120	35
2	415	35
3	2030	35
4	4197	35
5	40	35

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

37.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	37.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 103 to 71 computations (31.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	2.7b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	17.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	18.6b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series427.0ms (1.8%)

Counts

4 → 132

Calls

4 calls:

194.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
129.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
70.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
34.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite135.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

606×	`prod-diff_binary64`
250×	`egg-rr`
169×	`add-sqr-sqrt_binary64`
161×	`log1p-expm1-u_binary64`
161×	`expm1-log1p-u_binary64`

Counts

4 → 250

Calls

4 calls:

126.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
126.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
126.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
126.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
1	401	77
2	4837	77
3	6001	77
0	0	0
1	0	0

simplify160.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

487×	`rules-21_binary64`
205×	`fma-neg_binary64`
203×	`rules-18_binary64`
195×	`fma-def_binary64`
171×	`rules-40_binary64`

Counts

382 → 289

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	3459
1	745	3449
2	3867	3449
3	4911	3449
4	4843	3449
5	4874	3449

prune413.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	279	10	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	280	10	290

Error

12.9b

Counts

290 → 10

Alt Table

Status	Error	Program
	40.2b	(/.f64 2 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) 3)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	45.8b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (sin.f64 k)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t t) (/.f64 t (.f64 l l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.9b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.0b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (fma.f64 (pow.f64 k 4) (/.f64 t (.f64 l l)) (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (*.f64 l l))))))
	23.2b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	21.0b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	61.9b	(/.f64 2 (+.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (neg.f64 (.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))) (fma.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))))
	35.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 12992 to 7374 computations (43.2% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	2.1b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
✓	2.8b	(.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2))
✓	18.6b	(.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series5.1s (21.9%)

Counts

4 → 144

Calls

4 calls:

1.5s	(.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
1.4s	(.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2))
1.2s	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
1.1s	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))

rewrite85.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

371×	`expm1-udef_binary64`
371×	`log1p-udef_binary64`
236×	`log1p-expm1-u_binary64`
236×	`expm1-log1p-u_binary64`
228×	`add-log-exp_binary64`

Counts

4 → 88

Calls

4 calls:

82.0ms	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
82.0ms	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
82.0ms	(.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2))
82.0ms	(.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	195
1	584	141
2	4170	141
3	5285	141
0	0	0
1	0	0

simplify142.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
696×	`rules-20_binary64`
635×	`rules-40_binary64`
635×	`rules-41_binary64`
635×	`rules-42_binary64`

Counts

232 → 172

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	8746
1	2432	8746
2	5346	8746

prune400.0ms (1.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	204	5	209
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	204	15	219

Error

12.8b

Counts

219 → 15

Alt Table

Status	Error	Program
	55.8b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 k (.f64 (.f64 t t) (exp.f64 (.f64 1/3 (+.f64 (neg.f64 (.f64 4 (log.f64 l))) (.f64 2 (log.f64 k))))))) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.9b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	57.3b	(/.f64 1 (.f64 k (.f64 (pow.f64 t 3) (exp.f64 (+.f64 (.f64 1/3 (+.f64 (neg.f64 (.f64 2 (log.f64 l))) (log.f64 k))) (.f64 1/3 (+.f64 (neg.f64 (.f64 4 (log.f64 l))) (*.f64 2 (log.f64 k)))))))))
	40.2b	(/.f64 2 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) 3)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	45.8b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (sin.f64 k)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	22.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t t) (/.f64 t (.f64 l l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.0b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (fma.f64 (pow.f64 k 4) (/.f64 t (.f64 l l)) (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (*.f64 l l))))))
	45.8b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)))
	23.2b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	21.0b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	61.9b	(/.f64 2 (+.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (neg.f64 (.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))) (fma.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))))
	30.7b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 t (cbrt.f64 (/.f64 (sin.f64 k) (.f64 l l)))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (*.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 14595 to 9285 computations (36.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	2.1b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
✓	2.2b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))
✓	18.6b	(.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series646.0ms (2.8%)

Counts

3 → 108

Calls

3 calls:

310.0ms

(/.f64 2 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

203.0ms

(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

132.0ms

(*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))

rewrite88.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

339×	`log1p-udef_binary64`
194×	`add-sqr-sqrt_binary64`
186×	`log1p-expm1-u_binary64`
186×	`expm1-log1p-u_binary64`
182×	`add-cbrt-cube_binary64`

Counts

3 → 78

Calls

3 calls:

86.0ms

(/.f64 2 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

86.0ms

(*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k))

86.0ms

(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	99
1	466	87
2	4673	87
3	5290	87
0	0	0
1	0	0

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary64`
353×	`rules-40_binary64`
353×	`rules-41_binary64`
353×	`rules-42_binary64`
353×	`rules-43_binary64`

Counts

186 → 134

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	194	4900
1	1337	4884
2	4917	4884

prune288.0ms (1.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	170	16	186

Error

12.6b

Counts

186 → 16

Alt Table

Status	Error	Program
	32.9b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	57.3b	(/.f64 1 (.f64 k (.f64 (pow.f64 t 3) (exp.f64 (+.f64 (.f64 1/3 (+.f64 (neg.f64 (.f64 2 (log.f64 l))) (log.f64 k))) (.f64 1/3 (+.f64 (neg.f64 (.f64 4 (log.f64 l))) (*.f64 2 (log.f64 k)))))))))
	44.0b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (fma.f64 (pow.f64 k 4) (/.f64 t (.f64 l l)) (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (*.f64 l l))))))
	44.1b	(/.f64 (pow.f64 l 2) (*.f64 (pow.f64 k 2) (pow.f64 t 3)))
	40.2b	(/.f64 2 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) 3)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	56.9b	(/.f64 2 (.f64 (.f64 (pow.f64 (-.f64 (.f64 t (exp.f64 (.f64 1/3 (+.f64 (neg.f64 (.f64 2 (log.f64 l))) (log.f64 k))))) (.f64 1/18 (.f64 (.f64 k k) (.f64 t (exp.f64 (.f64 1/3 (+.f64 (neg.f64 (*.f64 2 (log.f64 l))) (log.f64 k)))))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	45.8b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (sin.f64 k)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (*.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	22.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t t) (/.f64 t (.f64 l l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	23.2b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	21.0b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	61.9b	(/.f64 2 (+.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (neg.f64 (.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))) (fma.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))))
	30.7b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 t (cbrt.f64 (/.f64 (sin.f64 k) (.f64 l l)))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (*.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 7404 to 4552 computations (38.5% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	2.1b	(*.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2))
✓	2.2b	(.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (.f64 0 (sin.f64 k)))) (tan.f64 k))
✓	18.6b	(.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series4.3s (18.4%)

Counts

4 → 144

Calls

4 calls:

1.7s	(.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (.f64 0 (sin.f64 k)))) (tan.f64 k))
884.0ms	(.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
854.0ms	(*.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2))
841.0ms	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

rewrite83.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

353×	`expm1-udef_binary64`
353×	`log1p-udef_binary64`
228×	`log1p-expm1-u_binary64`
228×	`expm1-log1p-u_binary64`
222×	`add-log-exp_binary64`

Counts

4 → 92

Calls

4 calls:

80.0ms	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
80.0ms	(*.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2))
80.0ms	(.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (.f64 0 (sin.f64 k)))) (tan.f64 k))
80.0ms	(.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	209
1	562	132
2	4019	132
3	5058	132
0	0	0
1	0	0

simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

497×	`fma-neg_binary64`
412×	`rules-40_binary64`
412×	`rules-41_binary64`
412×	`rules-42_binary64`
412×	`rules-43_binary64`

Counts

236 → 166

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	230	5890
1	1611	5874
2	5253	5874

prune305.0ms (1.3%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	166	16	182

Error

12.6b

Counts

182 → 16

Alt Table

Status	Error	Program
	32.9b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	57.3b	(/.f64 1 (.f64 k (.f64 (pow.f64 t 3) (exp.f64 (+.f64 (.f64 1/3 (+.f64 (neg.f64 (.f64 2 (log.f64 l))) (log.f64 k))) (.f64 1/3 (+.f64 (neg.f64 (.f64 4 (log.f64 l))) (*.f64 2 (log.f64 k)))))))))
	44.0b	(/.f64 2 (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (fma.f64 (pow.f64 k 4) (/.f64 t (.f64 l l)) (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (*.f64 l l))))))
	44.1b	(/.f64 (pow.f64 l 2) (*.f64 (pow.f64 k 2) (pow.f64 t 3)))
	40.2b	(/.f64 2 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) 3)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	56.9b	(/.f64 2 (.f64 (.f64 (pow.f64 (-.f64 (.f64 t (exp.f64 (.f64 1/3 (+.f64 (neg.f64 (.f64 2 (log.f64 l))) (log.f64 k))))) (.f64 1/18 (.f64 (.f64 k k) (.f64 t (exp.f64 (.f64 1/3 (+.f64 (neg.f64 (*.f64 2 (log.f64 l))) (log.f64 k)))))))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	45.8b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (sin.f64 k)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (*.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	22.6b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (.f64 t t) (/.f64 t (.f64 l l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	23.2b	(/.f64 2 (.f64 (.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (.f64 (sin.f64 k) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (neg.f64 (.f64 0 (sin.f64 k)))) (fma.f64 0 (sin.f64 k) (*.f64 0 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	21.0b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	61.9b	(/.f64 2 (+.f64 (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (neg.f64 (.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))) (fma.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (.f64 0 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))))
	30.7b	(/.f64 2 (.f64 (+.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (.f64 t (cbrt.f64 (/.f64 (sin.f64 k) (.f64 l l)))) 2)) (neg.f64 (.f64 0 (tan.f64 k)))) (fma.f64 0 (tan.f64 k) (*.f64 0 (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 7755 to 4977 computations (35.8% saved)

regimes1.2s (5.1%)

Accuracy

Total 2.7b remaining (24.3%)

Threshold costs 0b (0%)

Counts

92 → 3

Compiler

Compiled 21075 to 15282 computations (27.5% saved)

bsearch328.0ms (1.4%)

Steps

Iters	Range		Point
7	1.7598887922282314e-99	5.423661194716642e-98	8.893990945635184e-99
9	-4.9784655918529194e-107	-2.5133631346352884e-113	-5.24857608547832e-110

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	199
1	41	199

end436.0ms (1.9%)

Compiler: Compiled 867 to 584 computations (32.6% saved)

Details

analyze3.0s (12.6%)

sample5.5s (23.6%)

simplify63.0ms (0.3%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series427.0ms (1.8%)

rewrite135.0ms (0.6%)

simplify160.0ms (0.7%)

prune413.0ms (1.8%)

localize26.0ms (0.1%)

series5.1s (21.9%)

rewrite85.0ms (0.4%)

simplify142.0ms (0.6%)

prune400.0ms (1.7%)

localize19.0ms (0.1%)

series646.0ms (2.8%)

rewrite88.0ms (0.4%)

simplify83.0ms (0.4%)

prune288.0ms (1.2%)

localize25.0ms (0.1%)

series4.3s (18.4%)

rewrite83.0ms (0.4%)

simplify145.0ms (0.6%)

prune305.0ms (1.3%)

regimes1.2s (5.1%)

bsearch328.0ms (1.4%)

simplify3.0ms (0%)

end436.0ms (1.9%)

Profiling