Details

analyze252.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5283	12
0	1	1
1	1	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)

sample70.0ms (1.5%)

Algorithm

1×

intervals

Results

40.0ms	123×	body	1024	valid
13.0ms	73×	body	512	valid
6.0ms	13×	body	2048	valid
3.0ms	30×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify159.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (153.0ms)

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

59.0b

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))
5.4b	(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))

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5713	1892

prune107.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Error

0.0b

Counts

99 → 3

Compiler

Compiled 1548 to 1189 computations (23.2% saved)

localize10.0ms (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 (0.7%)

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

series90.0ms (2%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(-.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)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5156	1124

prune91.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Error

0.0b

Counts

85 → 3

Compiler

Compiled 1672 to 1169 computations (30.1% saved)

localize11.0ms (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))

rewrite23.0ms (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:

7.0ms	(*.f64 -2/3 (pow.f64 eps 3))
6.0ms	(*.f64 2/5 (pow.f64 eps 5))
5.0ms	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))

series135.0ms (3%)

Counts

3 → 9

Calls

3 calls:

82.0ms	(-.f64 (.f64 -2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))
28.0ms	(*.f64 2/5 (pow.f64 eps 5))
25.0ms	(*.f64 -2/3 (pow.f64 eps 3))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5069	890

prune83.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	77	3	80

Error

0.0b

Counts

80 → 3

Compiler

Compiled 1529 to 1066 computations (30.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))
0.0b	(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps)))
5.5b	(log.f64 (-.f64 1 eps))
5.5b	(log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))))

rewrite59.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`*-un-lft-identity_binary64_1101`
116×	`add-sqr-sqrt_binary64_1123`
90×	`times-frac_binary64_1107`
84×	`log-prod_binary64_1187`
74×	`difference-of-squares_binary64_1070`
43×	`add-cube-cbrt_binary64_1136`
36×	`associate-+l+_binary64_1034`
18×	`distribute-lft-out--_binary64_1053`
10×	`add-exp-log_binary64_1139` `pow1_binary64_1162`
6×	`associate-+r+_binary64_1033` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-/l*_binary64_1046` `associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137` `log-pow_binary64_1190` `log-div_binary64_1188`
5×	`associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052`
3×	`rem-log-exp_binary64_1142` `div-inv_binary64_1098`
2×	`associate-+r-_binary64_1035` `associate-/l/_binary64_1048` `div-exp_binary64_1152`
1×	`frac-2neg_binary64_1112` `sum-log_binary64_1192` `clear-num_binary64_1100` `flip3-+_binary64_1104` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075` `div-sub_binary64_1106`

Counts

4 → 182

Calls

4 calls:

17.0ms	(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps)))
8.0ms	(/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
3.0ms	(log.f64 (-.f64 1 eps))

series99.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(+.f64 (log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (log.f64 (-.f64 1 eps)))
22.0ms	(log.f64 (/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps))))
14.0ms	(/.f64 (-.f64 1 eps) (-.f64 1 (*.f64 eps eps)))
12.0ms	(log.f64 (-.f64 1 eps))

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5272	4069

prune237.0ms (5.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	194	3	197

Error

0.0b

Counts

197 → 3

Compiler

Compiled 4344 to 3038 computations (30.1% saved)

regimes120.0ms (2.6%)

Accuracy

Total 0.2b remaining (96%)

Threshold costs 0.2b (96%)

Compiler

Compiled 1314 to 1103 computations (16.1% 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%)

sample2.6s (57.4%)

Algorithm

1×

intervals

Results

1.3s	4029×	body	1024	valid
359.0ms	1960×	body	512	valid
192.0ms	396×	body	2048	valid
108.0ms	1018×	body	256	valid
33.0ms	597×	body	128	valid

Compiler

Compiled 418 to 351 computations (16% saved)

Details

analyze252.0ms (5.5%)

sample70.0ms (1.5%)

simplify159.0ms (3.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite24.0ms (0.5%)

series40.0ms (0.9%)

simplify77.0ms (1.7%)

prune107.0ms (2.4%)

localize10.0ms (0.2%)

rewrite30.0ms (0.7%)

series90.0ms (2%)

simplify52.0ms (1.1%)

prune91.0ms (2%)

localize11.0ms (0.2%)

rewrite23.0ms (0.5%)

series135.0ms (3%)

simplify66.0ms (1.4%)

prune83.0ms (1.8%)

localize8.0ms (0.2%)

rewrite59.0ms (1.3%)

series99.0ms (2.2%)

simplify91.0ms (2%)

prune237.0ms (5.2%)

regimes120.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.6s (57.4%)

Profiling