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)

sample209.0ms (2.1%)

Algorithm

1×

intervals

Results

165.0ms	133×	body	2048	valid
24.0ms	67×	body	1024	valid
5.0ms	256×	pre	128	true
4.0ms	25×	body	512	valid
2.0ms	4×	body	4096	valid
2.0ms	21×	body	256	valid
0.0ms	6×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify168.0ms (1.7%)

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: 60.2b

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))
3.2b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_1133`
36×	`times-frac_binary64_1117`
35×	`*-un-lft-identity_binary64_1111`
19×	`add-cube-cbrt_binary64_1146`
14×	`cancel-sign-sub-inv_binary64_1077`
9×	`difference-of-squares_binary64_1080`
7×	`distribute-lft-out--_binary64_1063`
6×	`div-inv_binary64_1108` `add-exp-log_binary64_1149`
4×	`add-cbrt-cube_binary64_1147` `add-log-exp_binary64_1150`
3×	`associate-/r_binary64_1055` `associate-/l_binary64_1056` `pow1_binary64_1172`
2×	`tan-quot_binary64_1270` `div-exp_binary64_1162` `associate-/r/_binary64_1057`
1×	`frac-sub_binary64_1120` `pow-flip_binary64_1185` `frac-2neg_binary64_1122` `flip3--_binary64_1115` `diff-log_binary64_1203` `1-exp_binary64_1155` `rec-exp_binary64_1161` `cbrt-undiv_binary64_1145` `sub-neg_binary64_1104` `clear-num_binary64_1110` `inv-pow_binary64_1196` `flip--_binary64_1086`

Counts

2 → 74

Calls

2 calls:

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

series233.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

144.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
88.0ms	(/.f64 1 (tan.f64 x))

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5180	1072

prune188.0ms (1.9%)

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 2761 to 1966 computations (28.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_1133`
22×	`associate-r_binary64_1051`
15×	`add-exp-log_binary64_1149`
12×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
9×	`add-cbrt-cube_binary64_1147` `associate-l_binary64_1052`
8×	`unpow-prod-down_binary64_1190` `unswap-sqr_binary64_1079`
7×	`prod-exp_binary64_1160`
5×	`pow1_binary64_1172`
4×	`cube-prod_binary64_1139` `sqr-pow_binary64_1083`
3×	`*-commutative_binary64_1042` `cbrt-unprod_binary64_1144` `add-log-exp_binary64_1150`
2×	`pow-exp_binary64_1179` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `pow-prod-down_binary64_1182` `unpow3_binary64_1177`

Counts

3 → 74

Calls

3 calls:

8.0ms	(*.f64 1/45 (pow.f64 x 3))
7.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 x 1/3)

series137.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

61.0ms	(*.f64 2/945 (pow.f64 x 5))
52.0ms	(*.f64 1/45 (pow.f64 x 3))
23.0ms	(*.f64 x 1/3)

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4902	712
1	4902	712

prune148.0ms (1.5%)

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

Merged error: 0.2b

Counts

84 → 7

Compiler

Compiled 2375 to 1920 computations (19.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_1133`
31×	`associate-r_binary64_1051`
21×	`add-exp-log_binary64_1149`
16×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
15×	`add-cbrt-cube_binary64_1147`
11×	`pow1_binary64_1172`
10×	`prod-exp_binary64_1160` `associate-l_binary64_1052`
9×	`unswap-sqr_binary64_1079`
8×	`unpow-prod-down_binary64_1190`
7×	`sqrt-prod_binary64_1127`
6×	`cbrt-unprod_binary64_1144`
4×	`*-commutative_binary64_1042` `cube-prod_binary64_1139` `pow-prod-down_binary64_1182` `add-log-exp_binary64_1150` `sqr-pow_binary64_1083`
2×	`pow-exp_binary64_1179` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `unpow3_binary64_1177`

Counts

4 → 99

Calls

4 calls:

9.0ms	(*.f64 2/945 (pow.f64 x 5))
8.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
8.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 x (sqrt.f64 1/3))

series237.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
58.0ms	(*.f64 2/945 (pow.f64 x 5))
51.0ms	(*.f64 1/45 (pow.f64 x 3))
45.0ms	(*.f64 x (sqrt.f64 1/3))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4879	954
1	4879	954

prune336.0ms (3.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	104	7	111
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	104	14	118

Merged error: 0.1b

Counts

118 → 14

Compiler

Compiled 5351 to 4514 computations (15.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate-r_binary64_1051`
37×	`add-sqr-sqrt_binary64_1133`
29×	`add-exp-log_binary64_1149`
18×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
16×	`unpow-prod-down_binary64_1190` `prod-exp_binary64_1160`
15×	`add-cbrt-cube_binary64_1147`
13×	`sqrt-prod_binary64_1127`
11×	`unswap-sqr_binary64_1079`
10×	`associate-l_binary64_1052`
6×	`cbrt-unprod_binary64_1144` `pow1_binary64_1172` `sqr-pow_binary64_1083`
4×	`*-commutative_binary64_1042` `cube-prod_binary64_1139` `pow-exp_binary64_1179` `add-log-exp_binary64_1150` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `pow-prod-down_binary64_1182` `unpow3_binary64_1177`

Counts

4 → 110

Calls

4 calls:

11.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
8.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
8.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))

series378.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
87.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
61.0ms	(*.f64 2/945 (pow.f64 x 5))
49.0ms	(*.f64 1/45 (pow.f64 x 3))

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4853	1212
1	4853	1212

prune402.0ms (4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	9	2	11
Picked	1	0	1
Done	1	1	2
Total	130	6	136

Merged error: 0.0b

Counts

136 → 6

Compiler

Compiled 6203 to 5373 computations (13.4% saved)

regimes20.0ms (0.2%)

Compiler: Compiled 143 to 129 computations (9.8% 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%)

sample6.9s (69.9%)

Algorithm

1×

intervals

Results

5.4s	4076×	body	2048	valid
656.0ms	1953×	body	1024	valid
148.0ms	8000×	pre	128	true
135.0ms	995×	body	512	valid
135.0ms	229×	body	4096	valid
45.0ms	528×	body	256	valid
10.0ms	219×	body	128	valid

Compiler

Compiled 195 to 172 computations (11.8% saved)

Details

analyze7.0ms (0.1%)

sample209.0ms (2.1%)

simplify168.0ms (1.7%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite29.0ms (0.3%)

series233.0ms (2.3%)

simplify80.0ms (0.8%)

prune188.0ms (1.9%)

localize10.0ms (0.1%)

rewrite25.0ms (0.3%)

series137.0ms (1.4%)

simplify91.0ms (0.9%)

prune148.0ms (1.5%)

localize12.0ms (0.1%)

rewrite40.0ms (0.4%)

series237.0ms (2.4%)

simplify78.0ms (0.8%)

prune336.0ms (3.4%)

localize19.0ms (0.2%)

rewrite45.0ms (0.5%)

series378.0ms (3.8%)

simplify87.0ms (0.9%)

prune402.0ms (4%)

regimes20.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.9s (69.9%)

Profiling