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)

sample222.0ms (2.3%)

Algorithm

1×

intervals

Results

180.0ms	125×	body	2048	valid
20.0ms	62×	body	1024	valid
5.0ms	10×	body	4096	valid
4.0ms	256×	pre	128	true
4.0ms	34×	body	512	valid
1.0ms	17×	body	256	valid
0.0ms	8×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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: 59.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
2.5b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_1123`
36×	`times-frac_binary64_1107`
35×	`*-un-lft-identity_binary64_1101`
19×	`add-cube-cbrt_binary64_1136`
14×	`cancel-sign-sub-inv_binary64_1067`
9×	`difference-of-squares_binary64_1070`
7×	`distribute-lft-out--_binary64_1053`
6×	`add-exp-log_binary64_1139` `div-inv_binary64_1098`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`pow1_binary64_1162` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`associate-/r/_binary64_1047` `div-exp_binary64_1152` `tan-quot_binary64_1260`
1×	`inv-pow_binary64_1186` `diff-log_binary64_1193` `1-exp_binary64_1145` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `rec-exp_binary64_1151` `frac-sub_binary64_1110` `cbrt-undiv_binary64_1135` `pow-flip_binary64_1175`

Counts

2 → 74

Calls

2 calls:

16.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
7.0ms	(/.f64 1 (tan.f64 x))

series129.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
52.0ms	(/.f64 1 (tan.f64 x))

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5505	1072

prune71.0ms (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

Merged error: 0.3b

Counts

81 → 1

Compiler

Compiled 1030 to 641 computations (37.8% saved)

localize9.0ms (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)

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1123`
22×	`associate-r_binary64_1041`
16×	`add-exp-log_binary64_1139`
13×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
10×	`add-cbrt-cube_binary64_1137`
9×	`add-log-exp_binary64_1140` `associate-l_binary64_1042`
8×	`unpow-prod-down_binary64_1180` `unswap-sqr_binary64_1069`
7×	`prod-exp_binary64_1150`
6×	`pow1_binary64_1162`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `sum-log_binary64_1192`
2×	`pow-exp_binary64_1169` `pow-to-exp_binary64_1170`
1×	`cube-mult_binary64_1131` `associate-+r+_binary64_1033` `flip3-+_binary64_1104` `unpow3_binary64_1167` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `flip-+_binary64_1075`

Counts

4 → 87

Calls

4 calls:

8.0ms	(+.f64 (.f64 x 1/3) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 x 1/3)

series100.0ms (1%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(+.f64 (.f64 x 1/3) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
30.0ms	(*.f64 2/945 (pow.f64 x 5))
24.0ms	(*.f64 1/45 (pow.f64 x 3))
12.0ms	(*.f64 x 1/3)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4895	1174
1	4895	1174

prune126.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 0.1b

Counts

100 → 8

Compiler

Compiled 2111 to 1688 computations (20% saved)

localize11.0ms (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))
0.4b	(*.f64 x (sqrt.f64 1/3))
0.4b	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_1123`
31×	`associate-r_binary64_1041`
21×	`add-exp-log_binary64_1139`
16×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
15×	`add-cbrt-cube_binary64_1137`
11×	`pow1_binary64_1162`
10×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
9×	`unswap-sqr_binary64_1069`
8×	`unpow-prod-down_binary64_1180`
7×	`sqrt-prod_binary64_1117`
6×	`cbrt-unprod_binary64_1134`
4×	`*-commutative_binary64_1032` `cube-prod_binary64_1129` `add-log-exp_binary64_1140` `pow-prod-down_binary64_1172` `sqr-pow_binary64_1073`
2×	`pow-exp_binary64_1169` `pow-to-exp_binary64_1170`
1×	`cube-mult_binary64_1131` `unpow3_binary64_1167`

Counts

4 → 99

Calls

4 calls:

7.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 2/945 (pow.f64 x 5))
5.0ms	(*.f64 x (sqrt.f64 1/3))

series120.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
29.0ms	(*.f64 2/945 (pow.f64 x 5))
25.0ms	(*.f64 1/45 (pow.f64 x 3))
23.0ms	(*.f64 x (sqrt.f64 1/3))

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5125	952

prune160.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	108	11	119

Merged error: 0.1b

Counts

119 → 11

Compiler

Compiled 2701 to 2247 computations (16.8% 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))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate-r_binary64_1041`
37×	`add-sqr-sqrt_binary64_1123`
29×	`add-exp-log_binary64_1139`
18×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
16×	`unpow-prod-down_binary64_1180` `prod-exp_binary64_1150`
15×	`add-cbrt-cube_binary64_1137`
13×	`sqrt-prod_binary64_1117`
11×	`unswap-sqr_binary64_1069`
10×	`associate-l_binary64_1042`
6×	`cbrt-unprod_binary64_1134` `pow1_binary64_1162` `sqr-pow_binary64_1073`
4×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cube-prod_binary64_1129` `add-log-exp_binary64_1140` `pow-to-exp_binary64_1170`
1×	`cube-mult_binary64_1131` `unpow3_binary64_1167` `pow-prod-down_binary64_1172`

Counts

4 → 110

Calls

4 calls:

9.0ms	(.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))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 2/945 (pow.f64 x 5))

series172.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
44.0ms	(.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))
25.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4885	1210
1	4885	1210

prune202.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	5	3	8
Picked	1	0	1
Done	1	1	2
Total	125	8	133

Merged error: 0.0b

Counts

133 → 8

Compiler

Compiled 3064 to 2608 computations (14.9% saved)

regimes167.0ms (1.7%)

Compiler: Compiled 1980 to 1689 computations (14.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	45
1	28	45

end0.0ms (0%)

sample7.8s (79.3%)

Algorithm

1×

intervals

Results

5.5s	4003×	body	2048	valid
662.0ms	2014×	body	1024	valid
137.0ms	8000×	pre	128	true
131.0ms	1032×	body	512	valid
114.0ms	225×	body	4096	valid
41.0ms	516×	body	256	valid
9.0ms	210×	body	128	valid

Compiler

Compiled 1026 to 875 computations (14.7% saved)

Details

analyze6.0ms (0.1%)

sample222.0ms (2.3%)

simplify95.0ms (1%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite28.0ms (0.3%)

series129.0ms (1.3%)

simplify92.0ms (0.9%)

prune71.0ms (0.7%)

localize9.0ms (0.1%)

rewrite29.0ms (0.3%)

series100.0ms (1%)

simplify83.0ms (0.8%)

prune126.0ms (1.3%)

localize11.0ms (0.1%)

rewrite31.0ms (0.3%)

series120.0ms (1.2%)

simplify53.0ms (0.5%)

prune160.0ms (1.6%)

localize15.0ms (0.2%)

rewrite36.0ms (0.4%)

series172.0ms (1.7%)

simplify76.0ms (0.8%)

prune202.0ms (2.1%)

regimes167.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.8s (79.3%)

Profiling