Details

analyze7.0ms (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)

sample241.0ms (2.5%)

Algorithm

1×

intervals

Results

197.0ms	136×	body	2048	valid
22.0ms	67×	body	1024	valid
5.0ms	256×	pre	128	true
5.0ms	9×	body	4096	valid
3.0ms	24×	body	512	valid
1.0ms	15×	body	256	valid
0.0ms	5×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify105.0ms (1.1%)

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

60.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_1464`
27×	`times-frac_binary64_1448`
26×	`*-un-lft-identity_binary64_1442`
14×	`cancel-sign-sub-inv_binary64_1408`
10×	`add-cube-cbrt_binary64_1477`
9×	`difference-of-squares_binary64_1411`
7×	`distribute-lft-out--_binary64_1394`
5×	`div-inv_binary64_1439`
3×	`add-log-exp_binary64_1481`
1×	`add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388` `sub-neg_binary64_1435` `flip3--_binary64_1446` `frac-sub_binary64_1451` `add-exp-log_binary64_1480` `flip--_binary64_1417` `diff-log_binary64_1534` `pow1_binary64_1503` `tan-quot_binary64_1601`

Counts

1 → 42

Calls

1 calls:

17.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series75.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

75.0ms

(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4794	735
1	4794	735

prune41.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	1	46

Error

0.3b

Counts

46 → 1

Compiler

Compiled 611 to 397 computations (35% saved)

localize10.0ms (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))
0.3b	(*.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:

6.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 x 1/3)

series68.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 2/945 (pow.f64 x 5))
25.0ms	(*.f64 1/45 (pow.f64 x 3))
15.0ms	(*.f64 x 1/3)

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5031	710

prune100.0ms (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 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
0.4b	(*.f64 x (sqrt.f64 1/3))

rewrite34.0ms (0.4%)

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))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
5.0ms	(*.f64 x (sqrt.f64 1/3))

series126.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
35.0ms	(*.f64 2/945 (pow.f64 x 5))
27.0ms	(*.f64 1/45 (pow.f64 x 3))
24.0ms	(*.f64 x (sqrt.f64 1/3))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5125	952

prune169.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	104	7	111
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	106	12	118

Error

0.1b

Counts

118 → 12

Compiler

Compiled 2717 to 2265 computations (16.6% saved)

localize15.0ms (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))
0.2b	(.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))

rewrite38.0ms (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:

10.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
7.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 2/945 (pow.f64 x 5))

series167.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
37.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
29.0ms	(*.f64 2/945 (pow.f64 x 5))
24.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4885	1210
1	4885	1210

prune206.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	8	2	10
Picked	1	0	1
Done	0	1	1
Total	128	6	134

Error

0.0b

Counts

134 → 6

Compiler

Compiled 3064 to 2608 computations (14.9% saved)

regimes156.0ms (1.6%)

Accuracy

Total 0.3b remaining (97%)

Threshold costs 0.3b (97%)

Compiler

Compiled 1804 to 1570 computations (13% 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%)

sample7.6s (80%)

Algorithm

1×

intervals

Results

5.3s	4081×	body	2048	valid
696.0ms	2016×	body	1024	valid
154.0ms	8000×	pre	128	true
130.0ms	989×	body	512	valid
102.0ms	201×	body	4096	valid
41.0ms	500×	body	256	valid
10.0ms	213×	body	128	valid

Compiler

Compiled 930 to 807 computations (13.2% saved)

Details

analyze7.0ms (0.1%)

sample241.0ms (2.5%)

simplify105.0ms (1.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite20.0ms (0.2%)

series75.0ms (0.8%)

simplify103.0ms (1.1%)

prune41.0ms (0.4%)

localize10.0ms (0.1%)

rewrite21.0ms (0.2%)

series68.0ms (0.7%)

simplify45.0ms (0.5%)

prune100.0ms (1.1%)

localize12.0ms (0.1%)

rewrite34.0ms (0.4%)

series126.0ms (1.3%)

simplify54.0ms (0.6%)

prune169.0ms (1.8%)

localize15.0ms (0.2%)

rewrite38.0ms (0.4%)

series167.0ms (1.8%)

simplify76.0ms (0.8%)

prune206.0ms (2.2%)

regimes156.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.6s (80%)

Profiling