Details

analyze314.0ms (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
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample61.0ms (1.2%)

Algorithm

1×

intervals

Results

19.0ms	82×	body	1024	invalid
10.0ms	202×	body	128	valid
7.0ms	25×	body	1024	valid
6.0ms	40×	body	512	invalid
2.0ms	15×	body	512	valid
2.0ms	30×	body	128	invalid
2.0ms	13×	body	256	invalid
1.0ms	14×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify229.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4936	11
1	4936	11

prune2.0ms (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

Merged error: 15.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
15.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_13189` `add-cbrt-cube_binary64_13187`
9×	`add-sqr-sqrt_binary64_13173`
7×	`add-cube-cbrt_binary64_13186` `*-un-lft-identity_binary64_13151`
5×	`pow1_binary64_13212`
3×	`times-frac_binary64_13157` `associate-r_binary64_13091` `add-log-exp_binary64_13190` `associate-/r_binary64_13095` `sinh-def_binary64_13336` `associate-l*_binary64_13092`
2×	`prod-exp_binary64_13200` `cbrt-undiv_binary64_13185` `associate-*r/_binary64_13093` `cbrt-unprod_binary64_13184` `div-exp_binary64_13202`
1×	`frac-2neg_binary64_13162` `associate-/l/_binary64_13098` `pow-prod-down_binary64_13222` `-commutative_binary64_13082` `div-inv_binary64_13148` `unswap-sqr_binary64_13119` `clear-num_binary64_13150` `associate-/l_binary64_13096`

Counts

3 → 49

Calls

3 calls:

6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

series426.0ms (8.1%)

Counts

3 → 9

Calls

3 calls:

200.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
157.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
68.0ms	(sinh.f64 y)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5565	673

prune158.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	49	9	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	9	59

Merged error: 0.2b

Counts

59 → 9

Compiler

Compiled 2352 to 1234 computations (47.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.2b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
0.2b	(/.f64 (sinh.f64 y) x)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_13173`
19×	`add-cube-cbrt_binary64_13186` `*-un-lft-identity_binary64_13151` `times-frac_binary64_13157`
13×	`associate-r_binary64_13091`
10×	`add-exp-log_binary64_13189` `add-cbrt-cube_binary64_13187`
5×	`pow1_binary64_13212`
3×	`add-log-exp_binary64_13190` `associate-/r_binary64_13095` `associate-/l_binary64_13096` `associate-l_binary64_13092`
2×	`prod-exp_binary64_13200` `cbrt-undiv_binary64_13185` `cbrt-unprod_binary64_13184` `div-inv_binary64_13148` `unswap-sqr_binary64_13119` `sinh-def_binary64_13336` `div-exp_binary64_13202`
1×	`frac-2neg_binary64_13162` `associate-/l/_binary64_13098` `pow-prod-down_binary64_13222` `associate-r/_binary64_13093` `-commutative_binary64_13082` `clear-num_binary64_13150`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
4.0ms	(/.f64 (sinh.f64 y) x)
1.0ms	(sinh.f64 y)

series380.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

181.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
131.0ms	(/.f64 (sinh.f64 y) x)
67.0ms	(sinh.f64 y)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5912	1011

prune87.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	78	8	86

Merged error: 0.2b

Counts

86 → 8

Compiler

Compiled 1576 to 661 computations (58.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_13182`
23×	`add-sqr-sqrt_binary64_13173`
15×	`add-cube-cbrt_binary64_13186` `*-un-lft-identity_binary64_13151`
11×	`pow1_binary64_13212`
9×	`pow1/3_binary64_13233`
6×	`add-exp-log_binary64_13189` `swap-sqr_binary64_13118` `associate-r_binary64_13091` `associate-l_binary64_13092`
4×	`add-cbrt-cube_binary64_13187` `add-log-exp_binary64_13190` `unswap-sqr_binary64_13119`
2×	`pow-prod-down_binary64_13222` `pow-sqr_binary64_13124` `pow-prod-up_binary64_13221`
1×	`pow2_binary64_13232` `prod-exp_binary64_13200` `cbrt-unprod_binary64_13184` `*-commutative_binary64_13082` `pow-plus_binary64_13214`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series625.0ms (11.9%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
156.0ms	(cbrt.f64 x)
150.0ms	(cbrt.f64 x)
150.0ms	(cbrt.f64 x)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5245	563

prune76.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.2b

Counts

93 → 8

Compiler

Compiled 1602 to 579 computations (63.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
15.1b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_13189`
17×	`add-cbrt-cube_binary64_13187`
16×	`associate-r_binary64_13091`
14×	`add-sqr-sqrt_binary64_13173`
13×	`prod-exp_binary64_13200`
12×	`add-cube-cbrt_binary64_13186` `*-un-lft-identity_binary64_13151`
10×	`pow1_binary64_13212`
9×	`times-frac_binary64_13157`
7×	`cbrt-unprod_binary64_13184`
4×	`pow-prod-down_binary64_13222` `associate-r/_binary64_13093` `sinh-def_binary64_13336` `associate-l*_binary64_13092` `div-exp_binary64_13202`
3×	`add-log-exp_binary64_13190`
2×	`cbrt-undiv_binary64_13185` `*-commutative_binary64_13082` `rec-exp_binary64_13201` `1-exp_binary64_13195`
1×	`un-div-inv_binary64_13149` `div-inv_binary64_13148` `associate-*l/_binary64_13094` `frac-times_binary64_13161` `unswap-sqr_binary64_13119`

Counts

3 → 67

Calls

3 calls:

10.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

series429.0ms (8.2%)

Counts

3 → 9

Calls

3 calls:

185.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
165.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
79.0ms	(sinh.f64 y)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4936	969
1	4936	969

prune55.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	75	9	84

Merged error: 0.2b

Counts

84 → 9

Compiler

Compiled 1087 to 434 computations (60.1% saved)

regimes56.0ms (1.1%)

Compiler: Compiled 362 to 281 computations (22.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.0s (38.2%)

Algorithm

1×

intervals

Results

495.0ms	2060×	body	1024	invalid
329.0ms	660×	body	1024	valid
297.0ms	6183×	body	128	valid
153.0ms	1026×	body	512	invalid
111.0ms	707×	body	512	valid
53.0ms	525×	body	256	invalid
49.0ms	806×	body	128	invalid
48.0ms	450×	body	256	valid

Compiler

Compiled 140 to 110 computations (21.4% saved)

Details

analyze314.0ms (6%)

sample61.0ms (1.2%)

simplify229.0ms (4.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series426.0ms (8.1%)

simplify54.0ms (1%)

prune158.0ms (3%)

localize6.0ms (0.1%)

rewrite18.0ms (0.4%)

series380.0ms (7.2%)

simplify64.0ms (1.2%)

prune87.0ms (1.7%)

localize12.0ms (0.2%)

rewrite16.0ms (0.3%)

series625.0ms (11.9%)

simplify53.0ms (1%)

prune76.0ms (1.4%)

localize8.0ms (0.1%)

rewrite22.0ms (0.4%)

series429.0ms (8.2%)

simplify67.0ms (1.3%)

prune55.0ms (1%)

regimes56.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (38.2%)

Profiling