Details

analyze733.0ms (8.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.7s (19.4%)

Results

763.0ms	2099×	body	1024	valid
481.0ms	4581×	body	128	valid
301.0ms	1045×	body	512	valid
100.0ms	526×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 50 to 26 computations (48% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

627×	`times-frac_binary64`
563×	`div-sub_binary64`
543×	`fma-def_binary64`
333×	`fma-neg_binary64`
263×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	19	22
2	31	22
3	49	22
4	99	22
5	169	22
6	279	22
7	588	22
8	1466	22
9	3717	22

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (fma.f64 (tan.f64 x) (tan.f64 x) 1))

Compiler

Compiled 92 to 45 computations (51.1% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.1b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))

series87.0ms (1%)

Counts

4 → 48

Calls

4 calls:

59.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
10.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
9.0ms	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
9.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log-prod_binary64`
381×	`prod-diff_binary64`
236×	`egg-rr`
196×	`fma-def_binary64`
157×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	44
1	182	44
2	2528	44

Stop Event

1×	node limit

Counts

4 → 236

Calls

4 calls:

80.0ms	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
80.0ms	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
80.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
80.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-def_binary64`
516×	`associate-l_binary64`
451×	`associate-r_binary64`
342×	`cancel-sign-sub-inv_binary64`
184×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	868
1	132	864
2	345	858
3	1101	856

Stop Event

1×	node limit

Counts

284 → 269

prune642.0ms (7.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	295	13	308
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	297	13	310

Error

0.0b

Counts

310 → 13

Alt Table

Status	Error	Program
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.4b	(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (hypot.f64 1 (tan.f64 x))) (hypot.f64 1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1))))
▶	0.4b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) 4)))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))))
	0.5b	(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.4b	(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
	0.5b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (neg.f64 (.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
	1.4b	(/.f64 (-.f64 1 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.7b	(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)))))
	15.6b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
	0.7b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.5b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))

Compiler

Compiled 11427 to 7532 computations (34.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) 4))))
	0.2b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.4b	(pow.f64 (tan.f64 x) 4)
✓	0.6b	(pow.f64 (tan.f64 x) 6)

series161.0ms (1.8%)

Counts

3 → 36

Calls

3 calls:

126.0ms	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) 4))))
18.0ms	(pow.f64 (tan.f64 x) 6)
16.0ms	(pow.f64 (tan.f64 x) 4)

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`prod-diff_binary64`
220×	`log1p-udef_binary64`
139×	`egg-rr`
128×	`log1p-expm1-u_binary64`
128×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	274	40
2	3490	40

Stop Event

1×	node limit

Counts

3 → 139

Calls

3 calls:

89.0ms	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) 4))))
89.0ms	(pow.f64 (tan.f64 x) 4)
89.0ms	(pow.f64 (tan.f64 x) 6)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
359×	`associate-/l*_binary64`
254×	`associate-/r*_binary64`
218×	`*-commutative_binary64`
191×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	811
1	148	807
2	380	801
3	1337	799

Stop Event

1×	node limit

Counts

175 → 164

prune654.0ms (7.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	200	3	203
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	203	13	216

Error

Counts

216 → 13

Alt Table

Status	Error	Program
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.4b	(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (hypot.f64 1 (tan.f64 x))) (hypot.f64 1 (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)) (neg.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4)) 1))))
▶	0.4b	(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
	0.8b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.5b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (neg.f64 (.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))) (/.f64 (tan.f64 x) 1) (.f64 (/.f64 (tan.f64 x) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (/.f64 (tan.f64 x) 1))))
	0.5b	(/.f64 (+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)) 2))) (-.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4)) (neg.f64 (.f64 (/.f64 (pow.f64 (tan.f64 x) 6) (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 6) (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))))) (/.f64 1 (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))) (.f64 (/.f64 (pow.f64 (tan.f64 x) 6) (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	1.4b	(/.f64 (-.f64 1 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) 4)))) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))
	15.6b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
	0.7b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.5b	(+.f64 (fma.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) (neg.f64 (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6)))))) (fma.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))) (.f64 (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 6))))))

Compiler

Compiled 14493 to 9368 computations (35.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4)))
✓	0.2b	(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))
✓	0.2b	(pow.f64 (tan.f64 x) 2)
	0.4b	(pow.f64 (tan.f64 x) 4)

series149.0ms (1.7%)

Counts

3 → 36

Calls

3 calls:

74.0ms

(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))

66.0ms

(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4)))

9.0ms

(pow.f64 (tan.f64 x) 2)

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`prod-diff_binary64`
212×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
170×	`egg-rr`
122×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	271	38
2	3435	38

Stop Event

1×	node limit

Counts

3 → 170

Calls

3 calls:

83.0ms

(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4)))

83.0ms

(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (pow.f64 (tan.f64 x) 2)))

83.0ms

(pow.f64 (tan.f64 x) 2)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary64`
556×	`times-frac_binary64`
330×	`cancel-sign-sub-inv_binary64`
217×	`associate-/l*_binary64`
190×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	865
1	142	865
2	380	861
3	1304	859

Stop Event

1×	node limit

Counts

206 → 194

prune627.0ms (7.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	246	4	250
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	251	12	263

Error

Counts

263 → 12

Alt Table

Status	Error	Program
	0.5b	(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.8b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) 4)))) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))
	0.4b	(+.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1)) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) 1))))
	15.6b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
▶	0.4b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))))
	0.5b	(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.4b	(.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))))))
	0.5b	(/.f64 (+.f64 (fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2)) 2))) (-.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (pow.f64 (tan.f64 x) 4)) (neg.f64 (.f64 (/.f64 (pow.f64 (tan.f64 x) 6) (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 6) (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))))) (/.f64 1 (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))) (.f64 (/.f64 (pow.f64 (tan.f64 x) 6) (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2)))) (/.f64 1 (hypot.f64 1 (hypot.f64 (tan.f64 x) (pow.f64 (tan.f64 x) 2))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	1.4b	(/.f64 (-.f64 1 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.7b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))

Compiler

Compiled 11402 to 8090 computations (29% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 1 (pow.f64 (tan.f64 x) 2))
✓	0.2b	(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))
	0.2b	(pow.f64 (tan.f64 x) 2)
✓	0.3b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))))

series126.0ms (1.4%)

Counts

3 → 36

Calls

3 calls:

59.0ms

(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))

57.0ms

(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))))

9.0ms

(-.f64 1 (pow.f64 (tan.f64 x) 2))

rewrite118.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

376×	`prod-diff_binary64`
285×	`egg-rr`
207×	`fma-def_binary64`
181×	`expm1-udef_binary64`
181×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	226	49
2	2867	49

Stop Event

1×	node limit

Counts

3 → 285

Calls

3 calls:

107.0ms

(-.f64 1 (pow.f64 (tan.f64 x) 2))

107.0ms

(/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))

107.0ms

(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))))

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

390×	`fma-def_binary64`
367×	`associate-l_binary64`
350×	`associate-r_binary64`
338×	`cancel-sign-sub-inv_binary64`
332×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	859
1	99	859
2	258	851
3	868	847
4	4191	847

Stop Event

1×	node limit

Counts

321 → 192

prune588.0ms (6.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	254	2	256
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	256	12	268

Error

Counts

268 → 12

Alt Table

Status	Error	Program
	0.4b	(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 1 (pow.f64 (tan.f64 x) 4)) (/.f64 1 (-.f64 1 (pow.f64 (tan.f64 x) 2)))))
	0.5b	(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 6))) (+.f64 1 (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 (tan.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))
	0.8b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	15.6b	(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (tan.f64 x) 2))) (log1p.f64 (pow.f64 (tan.f64 x) 2))))
✓	0.4b	(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) 1))))
	0.5b	(*.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	0.4b	(/.f64 (-.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 4))) (pow.f64 (+.f64 1 (pow.f64 (tan.f64 x) 2)) 2))
	0.4b	(.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (-.f64 1 (pow.f64 (tan.f64 x) 4))) (-.f64 1 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 x) 4))))))
	1.4b	(/.f64 (-.f64 1 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 6)) (+.f64 1 (fma.f64 (tan.f64 x) (tan.f64 x) (pow.f64 (tan.f64 x) 4)))) (+.f64 1 (-.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2) 1)))
	0.7b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2)) 2)) (/.f64 (-.f64 1 (pow.f64 (tan.f64 x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 1 (tan.f64 x)) 2))))

Compiler

Compiled 9639 to 6781 computations (29.7% saved)

regimes2.4s (28%)

Accuracy

Total 0.3b remaining (80.2%)

Threshold costs 0.3b (80.2%)

Counts

494 → 1

Compiler

Compiled 55496 to 40085 computations (27.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`*-rgt-identity_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	20	24
2	27	24
3	28	24

Stop Event

1×

saturated

end229.0ms (2.6%)

Compiler: Compiled 341 to 246 computations (27.9% saved)

Details

analyze733.0ms (8.4%)

sample1.7s (19.4%)

simplify26.0ms (0.3%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series87.0ms (1%)

rewrite86.0ms (1%)

simplify34.0ms (0.4%)

prune642.0ms (7.3%)

localize12.0ms (0.1%)

series161.0ms (1.8%)

rewrite98.0ms (1.1%)

simplify31.0ms (0.4%)

prune654.0ms (7.5%)

localize9.0ms (0.1%)

series149.0ms (1.7%)

rewrite89.0ms (1%)

simplify32.0ms (0.4%)

prune627.0ms (7.2%)

localize11.0ms (0.1%)

series126.0ms (1.4%)

rewrite118.0ms (1.3%)

simplify46.0ms (0.5%)

prune588.0ms (6.7%)

regimes2.4s (28%)

simplify3.0ms (0%)

end229.0ms (2.6%)

Profiling