Details

analyze1.1s (14%)

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
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12
39.9%	55.9%	4.2%	13
40.2%	54.9%	4.9%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample83.0ms (1.1%)

Algorithm

1×

intervals

Results

34.0ms	35×	body	2048	valid
15.0ms	41×	body	1024	valid
10.0ms	149×	body	128	valid
7.0ms	2×	body	4096	valid
6.0ms	21×	body	512	valid
1.0ms	8×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-def_binary64`
157×	`fma-neg_binary64`
50×	`cancel-sign-sub-inv_binary64`
37×	`associate-/l*_binary64`
33×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.4b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	16.4b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))

Compiler

Compiled 74 to 44 computations (40.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
4.1b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
26.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite208.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

30×	`pow1_binary64`
25×	`add-cube-cbrt_binary64`
24×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`

Counts

4 → 151

Calls

4 calls:

14.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
14.0ms	(*.f64 PI.f64 l)
12.0ms	(*.f64 PI.f64 l)
11.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 2073 to 459 computations (77.9% saved)

series79.0ms (1%)

Error

16.4b

Counts

4 → 15

Calls

4 calls:

40.0ms	(tan.f64 (*.f64 PI.f64 l))
26.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 614 to 337 computations (45.1% saved)

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

535×	`times-frac_binary64`
397×	`associate-l_binary64`
335×	`fma-neg_binary64`
278×	`associate-/l*_binary64`
270×	`associate-r_binary64`

Counts

166 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1547
1	220	1406
2	623	1388
3	2867	1338
4	4527	1338
5	4987	1338
6	5024	1338

prune47.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	42	14	56
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	43	15	58

Error

14.1b

Counts

58 → 15

Alt Table

Status	Error	Program
	26.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 3)) (*.f64 F F)))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
	22.7b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 2)) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))
	16.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	41.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (exp.f64 (*.f64 2 (log.f64 F)))))
	38.8b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l)))) (*.f64 F F)))
	26.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 2)) (*.f64 F F)))
	38.9b	(-.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	31.7b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 2)) (cbrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	37.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
▶	15.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	30.5b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))) (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (tan.f64 (*.f64 PI.f64 l)) (pow.f64 F -2)))
	22.7b	(-.f64 (.f64 PI.f64 l) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)) 3)))
	30.9b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))

Compiler

Compiled 1146 to 488 computations (57.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))
26.1b	(tan.f64 (*.f64 PI.f64 l))
26.1b	(tan.f64 (*.f64 PI.f64 l))
26.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite397.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

13.4b

Rules

25×	`add-cube-cbrt_binary64`
18×	`add-exp-log_binary64`
17×	`tan-quot_binary64`
16×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`

Counts

4 → 145

Calls

4 calls:

16.0ms	(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))
13.0ms	(tan.f64 (*.f64 PI.f64 l))
13.0ms	(tan.f64 (*.f64 PI.f64 l))
11.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 3660 to 547 computations (85.1% saved)

series71.0ms (0.9%)

Error

14.1b

Counts

4 → 15

Calls

4 calls:

29.0ms	(/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))
9.0ms	(tan.f64 (*.f64 PI.f64 l))
8.0ms	(tan.f64 (*.f64 PI.f64 l))
8.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1099 to 489 computations (55.5% saved)

simplify125.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

859×	`times-frac_binary64`
513×	`fma-neg_binary64`
408×	`associate-/l*_binary64`
283×	`associate-/r*_binary64`
247×	`associate-l_binary64`

Counts

160 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	2748
1	201	1853
2	587	1746
3	3295	1732
4	4798	1732
5	5229	1732

prune96.0ms (1.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	53	8	61
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	56	20	76

Error

12.2b

Counts

76 → 20

Alt Table

Status	Error	Program
	38.9b	(-.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	20.5b	(-.f64 (.f64 PI.f64 l) (.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) F) 3) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))
	26.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 3)) (*.f64 F F)))
	16.6b	(-.f64 (.f64 PI.f64 l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (tan.f64 (*.f64 PI.f64 l)) (pow.f64 F -2)))
	12.8b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))
	26.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 6))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	15.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) (cbrt.f64 (tan.f64 (.f64 PI.f64 l))))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	16.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	41.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (exp.f64 (*.f64 2 (log.f64 F)))))
	38.8b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l)))) (*.f64 F F)))
	26.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 2)) (*.f64 F F)))
	31.7b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 2)) (cbrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	37.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	15.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) (.f64 (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F))) (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F))))) (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))))
	13.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (/.f64 F (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) 2) F))))
	30.5b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))) (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))))
▶	12.5b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) (neg.f64 F))))
	30.9b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))

Compiler

Compiled 2159 to 736 computations (65.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
26.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite351.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

Rules

30×	`pow1_binary64`
30×	`add-cube-cbrt_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`

Counts

4 → 151

Calls

4 calls:

14.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
14.0ms	(*.f64 PI.f64 l)
12.0ms	(tan.f64 (*.f64 PI.f64 l))
12.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 2325 to 636 computations (72.6% saved)

series60.0ms (0.8%)

Error

12.2b

Counts

4 → 15

Calls

4 calls:

27.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
9.0ms	(tan.f64 (*.f64 PI.f64 l))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 686 to 393 computations (42.7% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

653×	`unswap-sqr_binary64`
581×	`times-frac_binary64`
419×	`associate-l_binary64`
280×	`associate-r_binary64`
276×	`associate-/l*_binary64`

Counts

166 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1422
1	199	1317
2	614	1299
3	3022	1245
4	5401	1245

prune84.0ms (1.1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	52	23	75

Error

12.2b

Counts

75 → 23

Alt Table

Status	Error	Program
	38.9b	(-.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
▶	12.7b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (cbrt.f64 F)) (*.f64 (cbrt.f64 F) (cbrt.f64 F))) (neg.f64 F))))
	20.5b	(-.f64 (.f64 PI.f64 l) (.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) F) 3) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))
	26.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 3)) (*.f64 F F)))
	16.6b	(-.f64 (.f64 PI.f64 l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
	31.7b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 2)) (cbrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	34.1b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (neg.f64 F))))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (tan.f64 (*.f64 PI.f64 l)) (pow.f64 F -2)))
	12.8b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))
	26.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 6))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	15.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) (cbrt.f64 (tan.f64 (.f64 PI.f64 l))))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	16.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	41.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (exp.f64 (*.f64 2 (log.f64 F)))))
	38.8b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l)))) (*.f64 F F)))
	26.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 2)) (*.f64 F F)))
	37.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	15.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) (.f64 (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F))) (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F))))) (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))))
	13.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (/.f64 F (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) 2) F))))
	30.5b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))) (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))))
✓	12.5b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) (neg.f64 F))))
	12.8b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) F) (neg.f64 F))))
	30.9b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))

Compiler

Compiled 1674 to 740 computations (55.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 F)
0.6b	(cbrt.f64 F)
0.6b	(cbrt.f64 F)
26.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite359.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

26×	`add-cube-cbrt_binary64`
16×	`add-sqr-sqrt_binary64`
13×	`pow1/3_binary64`
12×	`log1p-expm1-u_binary64`
12×	`expm1-log1p-u_binary64`

Counts

4 → 123

Calls

4 calls:

13.0ms	(tan.f64 (*.f64 PI.f64 l))
12.0ms	(cbrt.f64 F)
11.0ms	(cbrt.f64 F)
11.0ms	(cbrt.f64 F)

Compiler

Compiled 2089 to 575 computations (72.5% saved)

series68.0ms (0.9%)

Error

12.2b

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 F)
13.0ms	(cbrt.f64 F)
13.0ms	(cbrt.f64 F)
9.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 849 to 483 computations (43.1% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

638×	`log-prod_binary64`
466×	`distribute-rgt-in_binary64`
440×	`distribute-lft-in_binary64`
406×	`associate-l_binary64`
362×	`unswap-sqr_binary64`

Counts

135 → 38

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	712
1	84	667
2	149	655
3	355	655
4	1205	655
5	4880	655
6	5483	655

prune69.0ms (0.9%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	1	20	21
Picked	1	0	1
Done	0	1	1
Total	38	23	61

Error

12.2b

Counts

61 → 23

Alt Table

Status	Error	Program
	38.9b	(-.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	20.5b	(-.f64 (.f64 PI.f64 l) (.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) F) 3) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))
	26.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 3)) (*.f64 F F)))
	16.6b	(-.f64 (.f64 PI.f64 l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
	31.7b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 2)) (cbrt.f64 (.f64 PI.f64 l))) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	34.1b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (neg.f64 F))))
	16.5b	(-.f64 (.f64 PI.f64 l) (.f64 (tan.f64 (*.f64 PI.f64 l)) (pow.f64 F -2)))
	38.7b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (cbrt.f64 F)) (*.f64 (exp.f64 (log.f64 (cbrt.f64 F))) (cbrt.f64 F))) (neg.f64 F))))
	12.8b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))
	26.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 6))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	15.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) (cbrt.f64 (tan.f64 (.f64 PI.f64 l))))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	16.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	26.6b	(-.f64 (.f64 PI.f64 l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 PI.f64 l)) 2)) (*.f64 F F)))
	37.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	15.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) 2) (.f64 (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F))) (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F))))) (cbrt.f64 (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) F)))))
	13.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (/.f64 F (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) 2) F))))
	30.5b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))) (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F)))))
	38.8b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 PI.f64 l)) (sqrt.f64 (.f64 PI.f64 l)))) (*.f64 F F)))
	12.5b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) (neg.f64 F))))
	12.8b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) F) (neg.f64 F))))
	37.4b	(-.f64 (.f64 PI.f64 l) (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (tan.f64 (.f64 PI.f64 l))) (sqrt.f64 (tan.f64 (.f64 PI.f64 l)))) (cbrt.f64 F)) (*.f64 (cbrt.f64 F) (cbrt.f64 F))) (neg.f64 F))))
	30.9b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))))

Compiler

Compiled 1141 to 482 computations (57.8% saved)

regimes1.3s (17%)

Accuracy

Total 0.2b remaining (1.8%)

Threshold costs 0.2b (1.8%)

Compiler

Compiled 27193 to 14933 computations (45.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`cancel-sign-sub-inv_binary64`
9×	`distribute-rgt-neg-in_binary64`
8×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	29	24
2	46	24
3	64	24
4	73	24
5	75	24
6	71	24

end0.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

sample2.9s (37.3%)

Algorithm

1×

intervals

Results

1.1s	1031×	body	2048	valid
561.0ms	1752×	body	1024	valid
283.0ms	4111×	body	128	valid
165.0ms	48×	body	4096	valid
158.0ms	737×	body	512	valid
83.0ms	321×	body	256	valid
14.0ms	202×	body	128	invalid
3.0ms	6×	body	2048	invalid
1.0ms	2×	body	8192	exit

Compiler

Compiled 583 to 303 computations (48% saved)

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

Details

analyze1.1s (14%)

sample83.0ms (1.1%)

simplify27.0ms (0.3%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite208.0ms (2.7%)

series79.0ms (1%)

simplify123.0ms (1.6%)

prune47.0ms (0.6%)

localize15.0ms (0.2%)

rewrite397.0ms (5.1%)

series71.0ms (0.9%)

simplify125.0ms (1.6%)

prune96.0ms (1.2%)

localize10.0ms (0.1%)

rewrite351.0ms (4.5%)

series60.0ms (0.8%)

simplify83.0ms (1.1%)

prune84.0ms (1.1%)

localize15.0ms (0.2%)

rewrite359.0ms (4.6%)

series68.0ms (0.9%)

simplify82.0ms (1.1%)

prune69.0ms (0.9%)

regimes1.3s (17%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.9s (37.3%)

Profiling

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20