Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample206.0ms (2.1%)

Algorithm

1×

intervals

Results

170.0ms	130×	body	2048	valid
16.0ms	57×	body	1024	valid
6.0ms	40×	body	512	valid
5.0ms	256×	pre	128	true
1.0ms	15×	body	256	valid
1.0ms	2×	body	4096	valid
1.0ms	12×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify171.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

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: 59.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
3.1b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_1477`
36×	`times-frac_binary64_1461`
35×	`*-un-lft-identity_binary64_1455`
19×	`add-cube-cbrt_binary64_1490`
14×	`cancel-sign-sub-inv_binary64_1421`
9×	`difference-of-squares_binary64_1424`
7×	`distribute-lft-out--_binary64_1407`
6×	`div-inv_binary64_1452` `add-exp-log_binary64_1493`
4×	`add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491`
3×	`pow1_binary64_1516` `associate-/r_binary64_1399` `associate-/l_binary64_1400`
2×	`associate-/r/_binary64_1401` `div-exp_binary64_1506` `tan-quot_binary64_1614`
1×	`inv-pow_binary64_1540` `1-exp_binary64_1499` `clear-num_binary64_1454` `pow-flip_binary64_1529` `flip--_binary64_1430` `cbrt-undiv_binary64_1489` `frac-2neg_binary64_1466` `diff-log_binary64_1547` `frac-sub_binary64_1464` `sub-neg_binary64_1448` `rec-exp_binary64_1505` `flip3--_binary64_1459`

Counts

2 → 74

Calls

2 calls:

18.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

series223.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

139.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
84.0ms	(/.f64 1 (tan.f64 x))

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5180	1072

prune228.0ms (2.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	1	81

Merged error: 0.4b

Counts

81 → 1

Compiler

Compiled 3377 to 2470 computations (26.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/3) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 x 1/3)

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1477`
22×	`associate-r_binary64_1395`
16×	`add-exp-log_binary64_1493`
13×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
10×	`add-cbrt-cube_binary64_1491`
9×	`add-log-exp_binary64_1494` `associate-l_binary64_1396`
8×	`unpow-prod-down_binary64_1534` `unswap-sqr_binary64_1423`
7×	`prod-exp_binary64_1504`
6×	`pow1_binary64_1516`
4×	`sqr-pow_binary64_1427` `cube-prod_binary64_1483`
3×	`*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `sum-log_binary64_1546`
2×	`pow-to-exp_binary64_1524` `pow-exp_binary64_1523`
1×	`cube-mult_binary64_1485` `unpow3_binary64_1521` `flip-+_binary64_1429` `flip3-+_binary64_1458` `+-commutative_binary64_1385` `pow-prod-down_binary64_1526` `associate-+r+_binary64_1387`

Counts

4 → 87

Calls

4 calls:

9.0ms	(+.f64 (.f64 x 1/3) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 x 1/3)

series188.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(+.f64 (.f64 x 1/3) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
59.0ms	(*.f64 2/945 (pow.f64 x 5))
47.0ms	(*.f64 1/45 (pow.f64 x 3))
23.0ms	(*.f64 x 1/3)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4918	1176
1	4918	1176

prune236.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.2b

Counts

100 → 8

Compiler

Compiled 3879 to 3158 computations (18.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/45))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 1/45)
0.3b	(*.f64 x 1/3)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1477`
18×	`associate-l_binary64_1396`
16×	`add-exp-log_binary64_1493`
13×	`associate-r_binary64_1395` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
10×	`add-cbrt-cube_binary64_1491`
8×	`unpow-prod-down_binary64_1534` `unswap-sqr_binary64_1423`
7×	`prod-exp_binary64_1504`
6×	`pow1_binary64_1516` `add-log-exp_binary64_1494`
4×	`sqr-pow_binary64_1427` `cube-prod_binary64_1483`
3×	`*-commutative_binary64_1386` `cbrt-unprod_binary64_1488`
2×	`pow-to-exp_binary64_1524` `pow-exp_binary64_1523`
1×	`cube-mult_binary64_1485` `unpow3_binary64_1521` `flip-+_binary64_1429` `flip3-+_binary64_1458` `sum-log_binary64_1546` `+-commutative_binary64_1385` `pow-prod-down_binary64_1526`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.f64 (pow.f64 x 3) 1/45)
6.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/45))
4.0ms	(*.f64 x 1/3)

series256.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/45))
60.0ms	(*.f64 2/945 (pow.f64 x 5))
49.0ms	(*.f64 (pow.f64 x 3) 1/45)
22.0ms	(*.f64 x 1/3)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5059	970

prune185.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.2b

Counts

105 → 8

Compiler

Compiled 3061 to 2469 computations (19.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 x (sqrt.f64 1/3))
0.4b	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_1477`
31×	`associate-r_binary64_1395`
21×	`add-exp-log_binary64_1493`
16×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
15×	`add-cbrt-cube_binary64_1491`
11×	`pow1_binary64_1516`
10×	`prod-exp_binary64_1504` `associate-l_binary64_1396`
9×	`unswap-sqr_binary64_1423`
8×	`unpow-prod-down_binary64_1534`
7×	`sqrt-prod_binary64_1471`
6×	`cbrt-unprod_binary64_1488`
4×	`add-log-exp_binary64_1494` `*-commutative_binary64_1386` `sqr-pow_binary64_1427` `cube-prod_binary64_1483` `pow-prod-down_binary64_1526`
2×	`pow-to-exp_binary64_1524` `pow-exp_binary64_1523`
1×	`cube-mult_binary64_1485` `unpow3_binary64_1521`

Counts

4 → 99

Calls

4 calls:

8.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 x (sqrt.f64 1/3))

series242.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
60.0ms	(*.f64 2/945 (pow.f64 x 5))
53.0ms	(*.f64 x (sqrt.f64 1/3))
49.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4879	954
1	4879	954

prune297.0ms (3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	105	6	111
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	108	11	119

Merged error: 0.1b

Counts

119 → 11

Compiler

Compiled 4779 to 4003 computations (16.2% saved)

regimes31.0ms (0.3%)

Compiler: Compiled 262 to 222 computations (15.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample7.0s (71.8%)

Algorithm

1×

intervals

Results

5.3s	3978×	body	2048	valid
669.0ms	2020×	body	1024	valid
146.0ms	8000×	pre	128	true
142.0ms	1019×	body	512	valid
128.0ms	213×	body	4096	valid
47.0ms	533×	body	256	valid
11.0ms	237×	body	128	valid

Compiler

Compiled 314 to 265 computations (15.6% saved)

Details

analyze5.0ms (0.1%)

sample206.0ms (2.1%)

simplify171.0ms (1.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite29.0ms (0.3%)

series223.0ms (2.3%)

simplify77.0ms (0.8%)

prune228.0ms (2.3%)

localize12.0ms (0.1%)

rewrite33.0ms (0.3%)

series188.0ms (1.9%)

simplify97.0ms (1%)

prune236.0ms (2.4%)

localize10.0ms (0.1%)

rewrite27.0ms (0.3%)

series256.0ms (2.6%)

simplify58.0ms (0.6%)

prune185.0ms (1.9%)

localize12.0ms (0.1%)

rewrite35.0ms (0.4%)

series242.0ms (2.5%)

simplify79.0ms (0.8%)

prune297.0ms (3%)

regimes31.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.0s (71.8%)

Profiling