Details

analyze2.0s (16.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4958	136
1	4958	136
0	3	3
1	3	3

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
37.4%	49.9%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
49.7%	37.1%	13.2%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample157.0ms (1.3%)

Algorithm

1×

intervals

Results

60.0ms	66×	body	1024	valid
25.0ms	28×	body	1024	invalid
20.0ms	158×	body	128	valid
12.0ms	20×	body	512	valid
12.0ms	16×	body	512	invalid
5.0ms	4×	body	2048	valid
4.0ms	11×	body	256	invalid
3.0ms	8×	body	256	valid
2.0ms	19×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	5252	34

prune8.0ms (0.1%)

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: 20.7b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (/.f64 angle 180) PI.f64)
0.4b	(*.f64 (/.f64 angle 180) PI.f64)
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`associate-l_binary64_360`
20×	`*-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454`
14×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`pow1_binary64_480`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `div-inv_binary64_416` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 78

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series63.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 (/.f64 angle 180) PI.f64)
18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
11.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5021	1051

prune206.0ms (1.7%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	61	29	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	29	91

Merged error: 19.6b

Counts

91 → 29

Compiler

Compiled 3183 to 2399 computations (24.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 angle (sqrt.f64 180))
0.4b	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
24.2b	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_441`
38×	`times-frac_binary64_425`
33×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
22×	`associate-r_binary64_359` `sqrt-prod_binary64_435`
11×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
6×	`associate-/r*_binary64_363` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`unswap-sqr_binary64_387` `associate-l_binary64_360` `associate-/l*_binary64_364`
2×	`div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430`

Counts

4 → 95

Calls

4 calls:

10.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
4.0ms	(/.f64 angle (sqrt.f64 180))
2.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series115.0ms (1%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
32.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
31.0ms	(/.f64 angle (sqrt.f64 180))
11.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4944	1426
1	4944	1426

prune257.0ms (2.1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	5	23	28
Picked	1	0	1
Done	0	0	0
Total	105	31	136

Merged error: 19.5b

Counts

136 → 31

Compiler

Compiled 4408 to 3466 computations (21.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 angle (sqrt.f64 180))
0.4b	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
24.2b	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_441`
38×	`times-frac_binary64_425`
33×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
22×	`associate-r_binary64_359` `sqrt-prod_binary64_435`
11×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
6×	`associate-/r*_binary64_363` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`unswap-sqr_binary64_387` `associate-l_binary64_360` `associate-/l*_binary64_364`
2×	`div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430`

Counts

4 → 95

Calls

4 calls:

10.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
4.0ms	(/.f64 angle (sqrt.f64 180))
2.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series116.0ms (1%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
36.0ms	(/.f64 angle (sqrt.f64 180))
31.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4944	1426
1	4944	1426

prune270.0ms (2.3%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	29	30
Picked	1	0	1
Done	0	0	0
Total	107	31	138

Merged error: 19.5b

Counts

138 → 31

Compiler

Compiled 4741 to 3799 computations (19.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

24.2b	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`

Counts

4 → 28

Calls

4 calls:

3.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series58.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
8.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5014	620

prune106.0ms (0.9%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	29	30
Picked	1	0	1
Done	0	0	0
Total	41	30	71

Merged error: 19.5b

Counts

71 → 30

Compiler

Compiled 2047 to 1606 computations (21.5% saved)

regimes970.0ms (8.1%)

Compiler: Compiled 12738 to 11094 computations (12.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	54
1	34	54

end0.0ms (0%)

sample7.0s (58.8%)

Algorithm

1×

intervals

Results

1.5s	1618×	body	1024	valid
1.2s	1311×	body	1024	invalid
678.0ms	5000×	body	128	valid
475.0ms	797×	body	512	valid
418.0ms	668×	body	512	invalid
269.0ms	187×	body	2048	valid
137.0ms	394×	body	256	valid
127.0ms	332×	body	256	invalid
71.0ms	543×	body	128	invalid
17.0ms	4×	body	4096	valid

Compiler

Compiled 1939 to 1690 computations (12.8% saved)

Details

analyze2.0s (16.8%)

sample157.0ms (1.3%)

simplify151.0ms (1.3%)

prune8.0ms (0.1%)

localize14.0ms (0.1%)

rewrite25.0ms (0.2%)

series63.0ms (0.5%)

simplify65.0ms (0.5%)

prune206.0ms (1.7%)

localize19.0ms (0.2%)

rewrite29.0ms (0.2%)

series115.0ms (1%)

simplify72.0ms (0.6%)

prune257.0ms (2.1%)

localize23.0ms (0.2%)

rewrite30.0ms (0.3%)

series116.0ms (1%)

simplify71.0ms (0.6%)

prune270.0ms (2.3%)

localize30.0ms (0.3%)

rewrite13.0ms (0.1%)

series58.0ms (0.5%)

simplify50.0ms (0.4%)

prune106.0ms (0.9%)

regimes970.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.0s (58.8%)

Profiling