Details

analyze537.0ms (6.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

Compiler

Compiled 16 to 15 computations (6.3% saved)

sample104.0ms (1.3%)

Algorithm

1×

intervals

Results

23.0ms	41×	body	1280	valid
13.0ms	35×	body	1280	invalid
13.0ms	37×	body	640	valid
11.0ms	39×	body	640	invalid
9.0ms	135×	body	80	valid
6.0ms	93×	body	80	invalid
5.0ms	26×	body	320	valid
4.0ms	20×	body	320	invalid
2.0ms	17×	body	160	valid
1.0ms	10×	body	160	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4813	24
1	4813	24

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

Merged error: 17.5b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
5.2b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `insert-posit16` `flip--_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `sinh-undef_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

12.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series226.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

186.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
40.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify132.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5297	791

prune46.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 0.1b

Counts

43 → 2

Compiler

Compiled 870 to 423 computations (51.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 l)
0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-r_binary64` `insert-posit16`
2×	`sinh-def_binary64` `associate-*r/_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 44

Calls

3 calls:

14.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
10.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
2.0ms	(sinh.f64 l)

series683.0ms (8.8%)

Counts

3 → 9

Calls

3 calls:

383.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
229.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
70.0ms	(sinh.f64 l)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5927	965

prune66.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Merged error: 0.0b

Counts

55 → 5

Compiler

Compiled 1080 to 741 computations (31.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 l)
0.0b	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `insert-posit16`
3×	`sinh-def_binary64` `associate-*r/_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 64

Calls

4 calls:

11.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
11.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
7.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
1.0ms	(sinh.f64 l)

series823.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

383.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
220.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
149.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
70.0ms	(sinh.f64 l)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5463	1322

prune83.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Merged error: 0b

Counts

81 → 6

Compiler

Compiled 1465 to 994 computations (32.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `insert-posit16`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

series558.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
127.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
126.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
121.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4907	1144
1	4907	1144

prune143.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	89	6	95

Merged error: 0b

Counts

95 → 6

Compiler

Compiled 2579 to 1947 computations (24.5% saved)

regimes110.0ms (1.4%)

Compiler: Compiled 922 to 838 computations (9.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms (0%)

sample3.7s (47.7%)

Algorithm

1×

intervals

Results

678.0ms	1177×	body	1280	valid
606.0ms	1527×	body	1280	invalid
457.0ms	1317×	body	640	valid
347.0ms	1270×	body	640	invalid
300.0ms	4262×	body	80	valid
234.0ms	3389×	body	80	invalid
187.0ms	809×	body	320	valid
131.0ms	648×	body	320	invalid
63.0ms	435×	body	160	valid
40.0ms	294×	body	160	invalid

Compiler

Compiled 179 to 162 computations (9.5% saved)

Details

analyze537.0ms (6.9%)

sample104.0ms (1.3%)

simplify143.0ms (1.8%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite19.0ms (0.2%)

series226.0ms (2.9%)

simplify132.0ms (1.7%)

prune46.0ms (0.6%)

localize11.0ms (0.1%)

rewrite27.0ms (0.3%)

series683.0ms (8.8%)

simplify74.0ms (1%)

prune66.0ms (0.9%)

localize13.0ms (0.2%)

rewrite33.0ms (0.4%)

series823.0ms (10.5%)

simplify78.0ms (1%)

prune83.0ms (1.1%)

localize14.0ms (0.2%)

rewrite14.0ms (0.2%)

series558.0ms (7.2%)

simplify123.0ms (1.6%)

prune143.0ms (1.8%)

regimes110.0ms (1.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.7s (47.7%)

Profiling