Details

analyze3.6s (11.2%)

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 29 to 22 computations (24.1% saved)

sample17.7s (55.7%)

Results

5.1s	1186×	body	4096	invalid
4.1s	3997×	body	1024	valid
2.7s	1124×	body	2048	invalid
1.6s	1092×	body	2048	valid
1.3s	471×	body	4096	valid
915.0ms	1354×	body	512	valid
651.0ms	694×	body	1024	invalid
308.0ms	465×	body	512	invalid
264.0ms	1050×	body	128	invalid
235.0ms	508×	body	256	valid
212.0ms	834×	body	128	valid
143.0ms	319×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify63.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1169×	`rules-42_binary64`
1168×	`rules-40_binary64`
727×	`rules-41_binary64`
727×	`rules-43_binary64`
466×	`rules-20_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	32
1	116	32
2	408	32
3	2113	32
4	4157	32
5	19	32

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

43.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	43.9b	(/.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)))

Compiler

Compiled 97 to 65 computations (33% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	1.3b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	17.1b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	31.6b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series356.0ms (1.1%)

Counts

4 → 132

Calls

4 calls:

136.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
118.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
69.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
34.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite123.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

499×	`prod-diff_binary64`
241×	`egg-rr`
153×	`add-sqr-sqrt_binary64`
145×	`log1p-expm1-u_binary64`
145×	`expm1-log1p-u_binary64`

Counts

4 → 241

Calls

4 calls:

115.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
115.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
115.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
115.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	368	74
2	4303	74
3	5244	74
0	0	0
1	0	0

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

731×	`rules-40_binary64`
731×	`rules-41_binary64`
731×	`rules-42_binary64`
731×	`rules-43_binary64`
176×	`fma-neg_binary64`

Counts

373 → 273

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	2796
1	583	2786
2	2715	2786
3	4953	2786

prune472.0ms (1.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	260	13	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	261	13	274

Error

15.9b

Counts

274 → 13

Alt Table

Status	Error	Program
	41.6b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) l)) l) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	44.4b	(/.f64 2 (+.f64 (fma.f64 (/.f64 k t) (.f64 (/.f64 k t) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (neg.f64 (.f64 0 (pow.f64 (/.f64 k t) 2)))) (fma.f64 0 (pow.f64 (/.f64 k t) 2) (.f64 0 (pow.f64 (/.f64 k t) 2)))))
	43.9b	(/.f64 2 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))) 3))
	43.4b	(/.f64 2 (.f64 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))) (pow.f64 (/.f64 k t) 2)))
	33.1b	(/.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)))) (pow.f64 (/.f64 k t) 2)))
	59.0b	(/.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))) (pow.f64 (/.f64 k t) 2)) (neg.f64 (.f64 0 (pow.f64 (/.f64 k t) 2)))) (fma.f64 0 (pow.f64 (/.f64 k t) 2) (*.f64 0 (pow.f64 (/.f64 k t) 2)))))
	47.2b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.8b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	56.2b	(/.f64 2 (pow.f64 (.f64 (/.f64 k t) (.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (sqrt.f64 (tan.f64 k)))) 2))
	32.3b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
▶	23.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	54.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 11313 to 6134 computations (45.8% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.2b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	20.9b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series174.0ms (0.5%)

Counts

4 → 16

Calls

4 calls:

128.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
27.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
15.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

rewrite109.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

491×	`prod-diff_binary64`
241×	`log1p-udef_binary64`
214×	`egg-rr`
138×	`add-sqr-sqrt_binary64`
132×	`log1p-expm1-u_binary64`

Counts

4 → 214

Calls

4 calls:

104.0ms	(pow.f64 (sin.f64 k) 2)
104.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
104.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
104.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	329	50
2	3930	50
3	5303	50
0	0	0
1	0	0

simplify42.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

595×	`rules-40_binary64`
595×	`rules-41_binary64`
595×	`rules-42_binary64`
595×	`rules-43_binary64`
398×	`rules-20_binary64`

Counts

230 → 245

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	410
1	447	382
2	2141	382
3	5184	382

prune679.0ms (2.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	238	7	245
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	244	14	258

Error

10.2b

Counts

258 → 14

Alt Table

Status	Error	Program
	36.4b	(/.f64 2 (.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 (cos.f64 k) (*.f64 l l)))))
	41.6b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) l)) l) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	44.4b	(/.f64 2 (+.f64 (fma.f64 (/.f64 k t) (.f64 (/.f64 k t) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (neg.f64 (.f64 0 (pow.f64 (/.f64 k t) 2)))) (fma.f64 0 (pow.f64 (/.f64 k t) 2) (.f64 0 (pow.f64 (/.f64 k t) 2)))))
	22.7b	(/.f64 2 (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k k) (.f64 (cos.f64 k) (*.f64 l l)))))
	33.8b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.1b	(/.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)))) (pow.f64 (/.f64 k t) 2)))
	23.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) 2) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) 0)) (.f64 (cos.f64 k) (pow.f64 l 2))))
	24.7b	(/.f64 2 (pow.f64 (cbrt.f64 (.f64 t (/.f64 (pow.f64 (.f64 (sin.f64 k) k) 2) (.f64 (cos.f64 k) (.f64 l l))))) 3))
	54.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	47.2b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.2b	(/.f64 2 (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (.f64 (.f64 k k) t) (.f64 (cos.f64 k) (*.f64 l l)))))
▶	21.6b	(/.f64 2 (/.f64 (+.f64 (fma.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (neg.f64 (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	43.6b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	33.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 8006 to 4810 computations (39.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
	0.4b	(pow.f64 (sin.f64 k) 2)
	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	20.9b	(/.f64 (+.f64 (fma.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (neg.f64 (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series194.0ms (0.6%)

Counts

2 → 40

Calls

2 calls:

169.0ms

(/.f64 (+.f64 (fma.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (neg.f64 (*.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

24.0ms

(*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite90.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

417×	`prod-diff_binary64`
262×	`log1p-udef_binary64`
181×	`log1p-expm1-u_binary64`
181×	`expm1-log1p-u_binary64`
177×	`add-log-exp_binary64`

Counts

2 → 77

Calls

2 calls:

88.0ms

(*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))

88.0ms

(/.f64 (+.f64 (fma.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (neg.f64 (*.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	447	38
2	4004	38
3	5183	38
0	0	0
1	0	0

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

977×	`fma-neg_binary64`
952×	`rules-43_binary64`
423×	`rules-40_binary64`
423×	`rules-41_binary64`
423×	`rules-42_binary64`

Counts

117 → 95

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	1080
1	418	1068
2	1703	1068
3	4795	1068
4	4950	1068

prune1.4s (4.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	581	2	583
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	581	16	597

Error

9.9b

Counts

597 → 16

Alt Table

Status	Error	Program
	36.4b	(/.f64 2 (.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 (cos.f64 k) (*.f64 l l)))))
	41.6b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) l)) l) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	44.4b	(/.f64 2 (+.f64 (fma.f64 (/.f64 k t) (.f64 (/.f64 k t) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (neg.f64 (.f64 0 (pow.f64 (/.f64 k t) 2)))) (fma.f64 0 (pow.f64 (/.f64 k t) 2) (.f64 0 (pow.f64 (/.f64 k t) 2)))))
	22.7b	(/.f64 2 (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k k) (.f64 (cos.f64 k) (*.f64 l l)))))
	33.8b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.1b	(/.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)))) (pow.f64 (/.f64 k t) 2)))
	23.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) 2) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) 0)) (.f64 (cos.f64 k) (pow.f64 l 2))))
	24.7b	(/.f64 2 (pow.f64 (cbrt.f64 (.f64 t (/.f64 (pow.f64 (.f64 (sin.f64 k) k) 2) (.f64 (cos.f64 k) (.f64 l l))))) 3))
	54.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	47.2b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.2b	(/.f64 2 (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (.f64 (.f64 k k) t) (.f64 (cos.f64 k) (*.f64 l l)))))
	41.1b	(/.f64 2 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (cos.f64 k))) l) 2))
▶	21.6b	(/.f64 2 (/.f64 (+.f64 (fma.f64 k (/.f64 k (/.f64 1 (.f64 t (pow.f64 (sin.f64 k) 2)))) (neg.f64 (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	21.6b	(/.f64 2 (/.f64 (+.f64 (fma.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (neg.f64 (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	43.6b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	33.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 31713 to 19913 computations (37.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 t (pow.f64 (sin.f64 k) 2)))
	0.4b	(pow.f64 (sin.f64 k) 2)
	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	20.9b	(/.f64 (+.f64 (fma.f64 k (/.f64 k (/.f64 1 (.f64 t (pow.f64 (sin.f64 k) 2)))) (neg.f64 (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series230.0ms (0.7%)

Counts

2 → 40

Calls

2 calls:

168.0ms

(/.f64 (+.f64 (fma.f64 k (/.f64 k (/.f64 1 (*.f64 t (pow.f64 (sin.f64 k) 2)))) (neg.f64 (*.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

62.0ms

(/.f64 1 (*.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite72.0ms (0.2%)

Algorithm

2×	batch-egg-rewrite

Rules

281×	`log1p-udef_binary64`
272×	`prod-diff_binary64`
191×	`log1p-expm1-u_binary64`
191×	`expm1-log1p-u_binary64`
188×	`add-log-exp_binary64`

Counts

2 → 57

Calls

2 calls:

70.0ms

(/.f64 1 (*.f64 t (pow.f64 (sin.f64 k) 2)))

70.0ms

(/.f64 (+.f64 (fma.f64 k (/.f64 k (/.f64 1 (*.f64 t (pow.f64 (sin.f64 k) 2)))) (neg.f64 (*.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 0 (*.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	78
1	482	38
2	3992	38
3	4910	38
0	0	0
1	0	0

simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

884×	`rules-43_binary64`
798×	`rules-42_binary64`
777×	`fma-neg_binary64`
459×	`rules-40_binary64`
459×	`rules-41_binary64`

Counts

97 → 75

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	1074
1	386	1068
2	1670	1068
3	4647	1068
4	4762	1068
5	4943	1068

prune1.4s (4.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	562	1	563
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	563	16	579

Error

9.9b

Counts

579 → 16

Alt Table

Status	Error	Program
	36.4b	(/.f64 2 (.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 (cos.f64 k) (*.f64 l l)))))
	41.6b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) l)) l) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	44.4b	(/.f64 2 (+.f64 (fma.f64 (/.f64 k t) (.f64 (/.f64 k t) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (neg.f64 (.f64 0 (pow.f64 (/.f64 k t) 2)))) (fma.f64 0 (pow.f64 (/.f64 k t) 2) (.f64 0 (pow.f64 (/.f64 k t) 2)))))
	22.7b	(/.f64 2 (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 (.f64 k k) (.f64 (cos.f64 k) (*.f64 l l)))))
	33.8b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.7b	(/.f64 2 (pow.f64 (cbrt.f64 (.f64 t (/.f64 (pow.f64 (.f64 (sin.f64 k) k) 2) (.f64 (cos.f64 k) (.f64 l l))))) 3))
	54.2b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	47.2b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.2b	(/.f64 2 (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (.f64 (.f64 k k) t) (.f64 (cos.f64 k) (*.f64 l l)))))
	41.1b	(/.f64 2 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (cos.f64 k))) l) 2))
✓	21.6b	(/.f64 2 (/.f64 (+.f64 (fma.f64 k (/.f64 k (/.f64 1 (.f64 t (pow.f64 (sin.f64 k) 2)))) (neg.f64 (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	21.6b	(/.f64 2 (/.f64 (+.f64 (fma.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (neg.f64 (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	21.8b	(/.f64 2 (/.f64 (+.f64 (fma.f64 k (/.f64 k (pow.f64 (/.f64 1 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) 3)) (neg.f64 (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (fma.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 0 (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	33.1b	(/.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)))) (pow.f64 (/.f64 k t) 2)))
	43.6b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	33.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 31238 to 19953 computations (36.1% saved)

regimes3.2s (10%)

Accuracy

Total 8.7b remaining (52.2%)

Threshold costs 0b (0%)

Counts

219 → 5

Compiler

Compiled 44514 to 31366 computations (29.5% saved)

bsearch1.2s (3.9%)

Steps

Iters	Range		Point
9	5.105747214162344e+150	1.0842103965202827e+160	1.376929976568877e+154
9	31368983712128692000.0	1.7465838603369173e+25	1.289879017838036e+21
6	-1.0141149517416738e-73	-2.4868521075179673e-74	-2.9070642065808076e-74
11	-2.2086801526472492e+154	-1.1927476057097481e+134	-1.3490728451797633e+154

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	191
1	47	191

end341.0ms (1.1%)

Compiler: Compiled 768 to 511 computations (33.5% saved)

Details

analyze3.6s (11.2%)

sample17.7s (55.7%)

simplify63.0ms (0.2%)

prune4.0ms (0%)

localize15.0ms (0%)

series356.0ms (1.1%)

rewrite123.0ms (0.4%)

simplify80.0ms (0.3%)

prune472.0ms (1.5%)

localize13.0ms (0%)

series174.0ms (0.5%)

rewrite109.0ms (0.3%)

simplify42.0ms (0.1%)

prune679.0ms (2.1%)

localize18.0ms (0.1%)

series194.0ms (0.6%)

rewrite90.0ms (0.3%)

simplify80.0ms (0.3%)

prune1.4s (4.5%)

localize25.0ms (0.1%)

series230.0ms (0.7%)

rewrite72.0ms (0.2%)

simplify93.0ms (0.3%)

prune1.4s (4.4%)

regimes3.2s (10%)

bsearch1.2s (3.9%)

simplify4.0ms (0%)

end341.0ms (1.1%)

Profiling