Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample73.0ms (1.6%)

Algorithm

1×

intervals

Results

47.0ms	137×	body	1024	valid
8.0ms	45×	body	512	valid
6.0ms	12×	body	2048	valid
5.0ms	43×	body	256	valid
1.0ms	19×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify254.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	5283	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

58.3b

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 (-.f64 1 eps) (+.f64 1 eps))
6.0b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1101`
52×	`add-sqr-sqrt_binary64_1123`
48×	`times-frac_binary64_1107`
30×	`log-prod_binary64_1187`
25×	`add-cube-cbrt_binary64_1136`
18×	`difference-of-squares_binary64_1070`
13×	`distribute-lft-out_binary64_1052`
9×	`distribute-lft-out--_binary64_1053`
7×	`add-exp-log_binary64_1139`
6×	`associate-/l*_binary64_1046`
4×	`associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
3×	`pow1_binary64_1162`
2×	`add-log-exp_binary64_1140` `rem-log-exp_binary64_1142` `flip3-+_binary64_1104` `associate-/l/_binary64_1048` `div-inv_binary64_1098` `div-exp_binary64_1152` `flip-+_binary64_1075`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `cbrt-undiv_binary64_1135` `log-pow_binary64_1190` `log-div_binary64_1188` `div-sub_binary64_1106`

Counts

2 → 92

Calls

2 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series40.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
12.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5713	1892

prune111.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	4	99

Error

0.0b

Counts

99 → 4

Compiler

Compiled 1573 to 1212 computations (22.9% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1123`
15×	`associate-l_binary64_1042`
13×	`add-exp-log_binary64_1139`
12×	`add-log-exp_binary64_1140`
11×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
10×	`associate-r_binary64_1041`
8×	`unpow-prod-down_binary64_1180`
7×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`diff-log_binary64_1193` `sum-log_binary64_1192` `pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067`
2×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
1×	`associate--r+_binary64_1037` `cube-mult_binary64_1131` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `unpow3_binary64_1167`

Counts

3 → 73

Calls

3 calls:

12.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
6.0ms	(*.f64 (pow.f64 eps 3) -2/3)
5.0ms	(*.f64 2/5 (pow.f64 eps 5))

series86.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(-.f64 (.f64 (pow.f64 eps 3) -2/3) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (+.f64 eps eps)))
30.0ms	(*.f64 2/5 (pow.f64 eps 5))
25.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5156	1124

prune96.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Error

0.0b

Counts

86 → 4

Compiler

Compiled 1697 to 1192 computations (29.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 -2/3 (pow.f64 eps 3))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1123`
19×	`associate-r_binary64_1041`
13×	`add-exp-log_binary64_1139`
10×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
8×	`unpow-prod-down_binary64_1180`
7×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
5×	`add-log-exp_binary64_1140`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`pow1_binary64_1162`
2×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
1×	`diff-log_binary64_1193` `cube-mult_binary64_1131` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `unpow3_binary64_1167` `cancel-sign-sub-inv_binary64_1067`

Counts

3 → 68

Calls

3 calls:

6.0ms	(*.f64 -2/3 (pow.f64 eps 3))
5.0ms	(*.f64 2/5 (pow.f64 eps 5))
5.0ms	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))

series150.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))
31.0ms	(*.f64 2/5 (pow.f64 eps 5))
26.0ms	(*.f64 -2/3 (pow.f64 eps 3))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5069	890

prune85.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Error

0.0b

Counts

81 → 4

Compiler

Compiled 1554 to 1089 computations (29.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 eps))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))
6.0b	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
6.2b	(log.f64 (sqrt.f64 (-.f64 1 eps)))

rewrite43.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64_1101`
79×	`add-sqr-sqrt_binary64_1123`
72×	`times-frac_binary64_1107`
66×	`sqrt-prod_binary64_1117`
51×	`log-prod_binary64_1187`
45×	`add-cube-cbrt_binary64_1136`
22×	`difference-of-squares_binary64_1070`
19×	`distribute-lft-out_binary64_1052`
11×	`distribute-lft-out--_binary64_1053`
10×	`add-exp-log_binary64_1139`
9×	`associate-/l*_binary64_1046`
8×	`pow1_binary64_1162`
6×	`add-cbrt-cube_binary64_1137` `sqrt-div_binary64_1118`
4×	`add-log-exp_binary64_1140` `associate-/r/_binary64_1047` `log-pow_binary64_1190` `associate-/r*_binary64_1045`
3×	`rem-log-exp_binary64_1142` `flip--_binary64_1076` `flip3--_binary64_1105` `log-div_binary64_1188`
2×	`sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `associate-/l/_binary64_1048` `div-inv_binary64_1098` `div-exp_binary64_1152` `flip-+_binary64_1075` `pow1/2_binary64_1181`
1×	`rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `cbrt-undiv_binary64_1135`

Counts

4 → 158

Calls

4 calls:

9.0ms	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))
9.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
4.0ms	(sqrt.f64 (-.f64 1 eps))

series101.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
28.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
24.0ms	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))
13.0ms	(sqrt.f64 (-.f64 1 eps))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5072	3697

prune238.0ms (5.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	167	3	170
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	169	5	174

Error

0.0b

Counts

174 → 5

Compiler

Compiled 3970 to 3136 computations (21% saved)

regimes161.0ms (3.5%)

Accuracy

Total 0.2b remaining (95.8%)

Threshold costs 0.2b (95.8%)

Compiler

Compiled 1815 to 1517 computations (16.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	22
1	57	22

end0.0ms (0%)

sample2.8s (60.7%)

Algorithm

1×

intervals

Results

1.3s	3919×	body	1024	valid
389.0ms	2052×	body	512	valid
202.0ms	411×	body	2048	valid
107.0ms	996×	body	256	valid
31.0ms	622×	body	128	valid

Compiler

Compiled 568 to 474 computations (16.5% saved)

Details

analyze4.0ms (0.1%)

sample73.0ms (1.6%)

simplify254.0ms (5.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite24.0ms (0.5%)

series40.0ms (0.9%)

simplify72.0ms (1.5%)

prune111.0ms (2.4%)

localize11.0ms (0.2%)

rewrite30.0ms (0.6%)

series86.0ms (1.9%)

simplify56.0ms (1.2%)

prune96.0ms (2.1%)

localize9.0ms (0.2%)

rewrite22.0ms (0.5%)

series150.0ms (3.2%)

simplify64.0ms (1.4%)

prune85.0ms (1.8%)

localize9.0ms (0.2%)

rewrite43.0ms (0.9%)

series101.0ms (2.2%)

simplify80.0ms (1.7%)

prune238.0ms (5.1%)

regimes161.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.8s (60.7%)

Profiling