Details

analyze105.0ms (0.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12
0	1	1
1	1	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)

sample239.0ms (1.7%)

Algorithm

1×

intervals

Results

193.0ms	137×	body	2048	valid
19.0ms	59×	body	1024	valid
5.0ms	256×	pre	128	true
4.0ms	32×	body	512	valid
4.0ms	8×	body	4096	valid
1.0ms	11×	body	256	valid
0.0ms	9×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

prune3.0ms (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

60.3b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
3.6b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite121.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

59.8b

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×	`tan-quot_binary64_1260` `associate-/r/_binary64_1047` `div-exp_binary64_1152`
1×	`diff-log_binary64_1193` `frac-sub_binary64_1110` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

2 → 74

Calls

2 calls:

21.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 1177 to 769 computations (34.7% saved)

series216.0ms (1.5%)

Error

0.4b

Counts

2 → 12

Calls

2 calls:

118.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
78.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 304 to 225 computations (26% saved)

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4862	1123
1	4862	1123

prune91.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	1	87

Error

0.4b

Counts

87 → 1

Compiler

Compiled 1072 to 662 computations (38.2% 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))
0.4b	(*.f64 1/3 x)

rewrite121.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

26×	`add-sqr-sqrt_binary64_1123`
22×	`associate-r_binary64_1041`
15×	`add-exp-log_binary64_1139`
12×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
8×	`unswap-sqr_binary64_1069` `unpow-prod-down_binary64_1180`
7×	`prod-exp_binary64_1150`
5×	`pow1_binary64_1162`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`
2×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169`
1×	`pow-prod-down_binary64_1172` `unpow3_binary64_1167` `cube-mult_binary64_1131`

Counts

3 → 74

Calls

3 calls:

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

Compiler

Compiled 1539 to 1230 computations (20.1% saved)

series109.0ms (0.8%)

Error

0.4b

Counts

3 → 9

Calls

3 calls:

49.0ms	(*.f64 2/945 (pow.f64 x 5))
33.0ms	(*.f64 1/45 (pow.f64 x 3))
19.0ms	(*.f64 1/3 x)

Compiler

Compiled 405 to 343 computations (15.3% saved)

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4954	708
1	4954	708

prune125.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	8	84

Error

0.2b

Counts

84 → 8

Compiler

Compiled 1711 to 1366 computations (20.2% 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))
0.4b	(.f64 (sqrt.f64 1/3) (.f64 x (sqrt.f64 1/3)))
0.4b	(*.f64 x (sqrt.f64 1/3))

rewrite237.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 99

Calls

4 calls:

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

Compiler

Compiled 2477 to 2078 computations (16.1% saved)

series173.0ms (1.2%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

47.0ms	(.f64 (sqrt.f64 1/3) (.f64 x (sqrt.f64 1/3)))
43.0ms	(*.f64 2/945 (pow.f64 x 5))
40.0ms	(*.f64 x (sqrt.f64 1/3))
30.0ms	(*.f64 1/45 (pow.f64 x 3))

Compiler

Compiled 675 to 592 computations (12.3% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5020	946

prune205.0ms (1.5%)

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

Error

0.1b

Counts

119 → 11

Compiler

Compiled 2702 to 2254 computations (16.6% saved)

localize21.0ms (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))
0.2b	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)))
0.4b	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

rewrite319.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`add-sqr-sqrt_binary64_1123`
30×	`associate-r_binary64_1041`
29×	`add-exp-log_binary64_1139`
18×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l*_binary64_1042`
16×	`prod-exp_binary64_1150` `unpow-prod-down_binary64_1180`
15×	`add-cbrt-cube_binary64_1137`
13×	`sqrt-prod_binary64_1117`
11×	`unswap-sqr_binary64_1069`
6×	`pow1_binary64_1162` `cbrt-unprod_binary64_1134` `sqr-pow_binary64_1073`
4×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `add-log-exp_binary64_1140` `*-commutative_binary64_1032` `cube-prod_binary64_1129`
1×	`pow-prod-down_binary64_1172` `unpow3_binary64_1167` `cube-mult_binary64_1131`

Counts

4 → 110

Calls

4 calls:

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

Compiler

Compiled 3163 to 2721 computations (14% saved)

series252.0ms (1.8%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
49.0ms	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)))
42.0ms	(*.f64 2/945 (pow.f64 x 5))
37.0ms	(*.f64 1/45 (pow.f64 x 3))

Compiler

Compiled 765 to 682 computations (10.8% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4907	1193
1	4907	1193

prune221.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	8	1	9
Picked	1	0	1
Done	0	1	1
Total	128	5	133

Error

0.0b

Counts

133 → 5

Compiler

Compiled 3066 to 2610 computations (14.9% saved)

regimes355.0ms (2.5%)

Accuracy

Total 0.4b remaining (96.8%)

Threshold costs 0.4b (96.8%)

Compiler

Compiled 3386 to 2868 computations (15.3% 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%)

sample10.7s (76.1%)

Algorithm

1×

intervals

Results

6.7s	3958×	body	2048	valid
857.0ms	2044×	body	1024	valid
165.0ms	8000×	pre	128	true
157.0ms	996×	body	512	valid
132.0ms	210×	body	4096	valid
52.0ms	538×	body	256	valid
14.0ms	254×	body	128	valid

Compiler

Compiled 1734 to 1469 computations (15.3% saved)

Details

analyze105.0ms (0.7%)

sample239.0ms (1.7%)

simplify10.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite121.0ms (0.9%)

series216.0ms (1.5%)

simplify132.0ms (0.9%)

prune91.0ms (0.6%)

localize10.0ms (0.1%)

rewrite121.0ms (0.9%)

series109.0ms (0.8%)

simplify123.0ms (0.9%)

prune125.0ms (0.9%)

localize12.0ms (0.1%)

rewrite237.0ms (1.7%)

series173.0ms (1.2%)

simplify58.0ms (0.4%)

prune205.0ms (1.5%)

localize21.0ms (0.1%)

rewrite319.0ms (2.3%)

series252.0ms (1.8%)

simplify87.0ms (0.6%)

prune221.0ms (1.6%)

regimes355.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample10.7s (76.1%)

Profiling