Details

analyze6.0ms (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)

sample203.0ms (2.1%)

Algorithm

1×

intervals

Results

154.0ms	115×	body	2048	valid
22.0ms	75×	body	1024	valid
9.0ms	8×	body	4096	valid
5.0ms	256×	pre	128	true
4.0ms	31×	body	512	valid
1.0ms	18×	body	256	valid
0.0ms	9×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify96.0ms (1%)

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

Error

59.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
2.8b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_1464`
36×	`times-frac_binary64_1448`
35×	`*-un-lft-identity_binary64_1442`
19×	`add-cube-cbrt_binary64_1477`
14×	`cancel-sign-sub-inv_binary64_1408`
9×	`difference-of-squares_binary64_1411`
7×	`distribute-lft-out--_binary64_1394`
6×	`div-inv_binary64_1439` `add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481`
3×	`associate-/r_binary64_1386` `associate-/l_binary64_1387` `pow1_binary64_1503`
2×	`associate-/r/_binary64_1388` `tan-quot_binary64_1601` `div-exp_binary64_1493`
1×	`inv-pow_binary64_1527` `cbrt-undiv_binary64_1476` `sub-neg_binary64_1435` `clear-num_binary64_1441` `1-exp_binary64_1486` `flip3--_binary64_1446` `frac-sub_binary64_1451` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `flip--_binary64_1417` `frac-2neg_binary64_1453` `diff-log_binary64_1534`

Counts

2 → 74

Calls

2 calls:

16.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

series124.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

74.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
50.0ms	(/.f64 1 (tan.f64 x))

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5505	1072

prune68.0ms (0.7%)

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

Error

0.4b

Counts

81 → 1

Compiler

Compiled 1030 to 641 computations (37.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_1464`
22×	`associate-r_binary64_1382`
15×	`add-exp-log_binary64_1480`
12×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`add-cbrt-cube_binary64_1478` `associate-l_binary64_1383`
8×	`unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410`
7×	`prod-exp_binary64_1491`
5×	`pow1_binary64_1503`
4×	`cube-prod_binary64_1470` `sqr-pow_binary64_1414`
3×	`cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `add-log-exp_binary64_1481`
2×	`pow-exp_binary64_1510` `pow-to-exp_binary64_1511`
1×	`cube-mult_binary64_1472` `pow-prod-down_binary64_1513` `unpow3_binary64_1508`

Counts

3 → 74

Calls

3 calls:

7.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 x 1/3)

series72.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(*.f64 2/945 (pow.f64 x 5))
23.0ms	(*.f64 1/45 (pow.f64 x 3))
12.0ms	(*.f64 x 1/3)

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5031	710

prune103.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Error

0.2b

Counts

84 → 7

Compiler

Compiled 1695 to 1348 computations (20.5% 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))
0.5b	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_1464`
31×	`associate-r_binary64_1382`
21×	`add-exp-log_binary64_1480`
16×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
15×	`add-cbrt-cube_binary64_1478`
11×	`pow1_binary64_1503`
10×	`associate-l_binary64_1383` `prod-exp_binary64_1491`
9×	`unswap-sqr_binary64_1410`
8×	`unpow-prod-down_binary64_1521`
7×	`sqrt-prod_binary64_1458`
6×	`cbrt-unprod_binary64_1475`
4×	`cube-prod_binary64_1470` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `sqr-pow_binary64_1414`
2×	`pow-exp_binary64_1510` `pow-to-exp_binary64_1511`
1×	`cube-mult_binary64_1472` `unpow3_binary64_1508`

Counts

4 → 99

Calls

4 calls:

7.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 2/945 (pow.f64 x 5))
5.0ms	(*.f64 x (sqrt.f64 1/3))

series119.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
37.0ms	(*.f64 2/945 (pow.f64 x 5))
23.0ms	(*.f64 x (sqrt.f64 1/3))
22.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5125	952

prune163.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	108	10	118

Error

0.1b

Counts

118 → 10

Compiler

Compiled 2664 to 2217 computations (16.8% saved)

localize18.0ms (0.2%)

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 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
0.4b	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate-r_binary64_1382`
37×	`add-sqr-sqrt_binary64_1464`
29×	`add-exp-log_binary64_1480`
18×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
16×	`prod-exp_binary64_1491` `unpow-prod-down_binary64_1521`
15×	`add-cbrt-cube_binary64_1478`
13×	`sqrt-prod_binary64_1458`
11×	`unswap-sqr_binary64_1410`
10×	`associate-l_binary64_1383`
6×	`cbrt-unprod_binary64_1475` `sqr-pow_binary64_1414` `pow1_binary64_1503`
4×	`pow-exp_binary64_1510` `cube-prod_binary64_1470` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `pow-to-exp_binary64_1511`
1×	`cube-mult_binary64_1472` `pow-prod-down_binary64_1513` `unpow3_binary64_1508`

Counts

4 → 110

Calls

4 calls:

15.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
7.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
5.0ms	(*.f64 2/945 (pow.f64 x 5))

series171.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
45.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
28.0ms	(*.f64 2/945 (pow.f64 x 5))
24.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4885	1210
1	4885	1210

prune199.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	126	6	132

Error

Counts

132 → 6

Compiler

Compiled 3064 to 2608 computations (14.9% saved)

regimes169.0ms (1.7%)

Accuracy

Total 0.3b remaining (97%)

Threshold costs 0.3b (97%)

Compiler

Compiled 1975 to 1687 computations (14.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	45
1	28	45

end0.0ms (0%)

sample7.8s (80.1%)

Algorithm

1×

intervals

Results

5.4s	4081×	body	2048	valid
671.0ms	1949×	body	1024	valid
157.0ms	8000×	pre	128	true
133.0ms	1020×	body	512	valid
113.0ms	217×	body	4096	valid
41.0ms	474×	body	256	valid
15.0ms	259×	body	128	valid

Compiler

Compiled 1019 to 871 computations (14.5% saved)

Details

analyze6.0ms (0.1%)

sample203.0ms (2.1%)

simplify96.0ms (1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite26.0ms (0.3%)

series124.0ms (1.3%)

simplify96.0ms (1%)

prune68.0ms (0.7%)

localize9.0ms (0.1%)

rewrite21.0ms (0.2%)

series72.0ms (0.7%)

simplify44.0ms (0.5%)

prune103.0ms (1.1%)

localize12.0ms (0.1%)

rewrite32.0ms (0.3%)

series119.0ms (1.2%)

simplify54.0ms (0.6%)

prune163.0ms (1.7%)

localize18.0ms (0.2%)

rewrite44.0ms (0.4%)

series171.0ms (1.7%)

simplify78.0ms (0.8%)

prune199.0ms (2%)

regimes169.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.8s (80.1%)

Profiling