Details

analyze461.0ms (4.9%)

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)

sample134.0ms (1.4%)

Algorithm

1×

intervals

Results

79.0ms	129×	body	1024	valid
18.0ms	20×	body	2048	valid
17.0ms	49×	body	512	valid
8.0ms	42×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify304.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (294.0ms)

Iter	Nodes	Cost
0	5283	12

prune4.0ms (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

58.6b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.9b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite46.0ms (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:

16.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
14.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series115.0ms (1.2%)

Counts

2 → 14

Calls

2 calls:

75.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
40.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 161 to 155 computations (3.7% saved)

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5400	1921

prune206.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	3	107

Error

0.0b

Counts

107 → 3

Compiler

Compiled 1581 to 1219 computations (22.9% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 2/5 (pow.f64 eps 5)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 2/7 (pow.f64 eps 7))
0.2b	(*.f64 (pow.f64 eps 3) 2/3)

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_1123`
19×	`add-exp-log_binary64_1139`
18×	`associate-l_binary64_1042`
17×	`associate-r_binary64_1041`
14×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`unpow-prod-down_binary64_1180`
10×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
9×	`add-log-exp_binary64_1140` `prod-exp_binary64_1150`
6×	`sqr-pow_binary64_1073`
4×	`cube-prod_binary64_1129` `pow1_binary64_1162`
3×	`diff-log_binary64_1193` `*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
2×	`sub-neg_binary64_1094` `associate--l+_binary64_1038` `cancel-sign-sub-inv_binary64_1067`
1×	`cube-mult_binary64_1131` `flip--_binary64_1076` `flip3--_binary64_1105` `unpow3_binary64_1167` `associate--l-_binary64_1039`

Counts

4 → 97

Calls

4 calls:

14.0ms	(*.f64 (pow.f64 eps 3) 2/3)
13.0ms	(-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 2/5 (pow.f64 eps 5)))
10.0ms	(*.f64 2/5 (pow.f64 eps 5))
10.0ms	(*.f64 2/7 (pow.f64 eps 7))

series327.0ms (3.5%)

Counts

4 → 14

Calls

4 calls:

96.0ms	(-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (*.f64 2/5 (pow.f64 eps 5)))
81.0ms	(*.f64 2/7 (pow.f64 eps 7))
78.0ms	(*.f64 2/5 (pow.f64 eps 5))
71.0ms	(*.f64 (pow.f64 eps 3) 2/3)

Compiler

Compiled 505 to 436 computations (13.7% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5041	1369

prune295.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Error

0.0b

Counts

114 → 3

Compiler

Compiled 2868 to 2319 computations (19.1% saved)

localize30.0ms (0.3%)

Local error

Found 4 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 2/7 (pow.f64 eps 7))
0.2b	(*.f64 2/3 (pow.f64 eps 3))

rewrite58.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_1123`
26×	`associate-r_binary64_1041`
19×	`add-exp-log_binary64_1139`
14×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`unpow-prod-down_binary64_1180`
10×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
9×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
6×	`add-log-exp_binary64_1140` `sqr-pow_binary64_1073`
4×	`cube-prod_binary64_1129` `pow1_binary64_1162`
3×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
1×	`cube-mult_binary64_1131` `sum-log_binary64_1192` `flip3-+_binary64_1104` `unpow3_binary64_1167` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 92

Calls

4 calls:

12.0ms	(*.f64 2/3 (pow.f64 eps 3))
10.0ms	(*.f64 2/5 (pow.f64 eps 5))
10.0ms	(*.f64 2/7 (pow.f64 eps 7))
10.0ms	(+.f64 (.f64 2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))

series434.0ms (4.7%)

Counts

4 → 15

Calls

4 calls:

195.0ms	(+.f64 (.f64 2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))
93.0ms	(*.f64 2/7 (pow.f64 eps 7))
83.0ms	(*.f64 2/5 (pow.f64 eps 5))
64.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 549 to 471 computations (14.2% saved)

simplify129.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5362	1186

prune266.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Error

0.0b

Counts

110 → 3

Compiler

Compiled 2732 to 2206 computations (19.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))
5.7b	(log.f64 (sqrt.f64 (-.f64 1 eps)))
5.9b	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))

rewrite136.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

169×	`*-un-lft-identity_binary64_1101`
109×	`add-sqr-sqrt_binary64_1123`
108×	`times-frac_binary64_1107`
102×	`log-prod_binary64_1187`
90×	`sqrt-prod_binary64_1117`
64×	`add-cube-cbrt_binary64_1136`
42×	`associate-+r+_binary64_1033`
32×	`distribute-lft-out_binary64_1052`
30×	`difference-of-squares_binary64_1070`
15×	`distribute-lft-out--_binary64_1053`
11×	`pow1_binary64_1162`
10×	`add-exp-log_binary64_1139`
9×	`associate-/l*_binary64_1046` `associate-+l+_binary64_1034`
8×	`log-pow_binary64_1190`
6×	`associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137` `sqrt-div_binary64_1118` `log-div_binary64_1188`
4×	`add-log-exp_binary64_1140` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/r*_binary64_1045`
3×	`rem-log-exp_binary64_1142` `flip--_binary64_1076` `flip3--_binary64_1105` `div-inv_binary64_1098`
2×	`associate-/l/_binary64_1048` `associate-+l-_binary64_1036` `div-exp_binary64_1152`
1×	`frac-2neg_binary64_1112` `sum-log_binary64_1192` `associate-+r-_binary64_1035` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `+-commutative_binary64_1031` `cbrt-undiv_binary64_1135` `pow1/2_binary64_1181`

Counts

4 → 209

Calls

4 calls:

41.0ms	(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
19.0ms	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))
19.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
8.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))

series308.0ms (3.3%)

Counts

4 → 24

Calls

4 calls:

140.0ms	(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))))
67.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
54.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
46.0ms	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))

Compiler

Compiled 546 to 473 computations (13.4% saved)

simplify188.0ms (2%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5067	4771

prune537.0ms (5.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	231	2	233
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	233	3	236

Error

Counts

236 → 3

Compiler

Compiled 5059 to 4062 computations (19.7% saved)

regimes212.0ms (2.3%)

Accuracy

Total 0.2b remaining (98.2%)

Threshold costs 0.2b (98.2%)

Compiler

Compiled 1158 to 972 computations (16.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	106	31
1	106	31

end0.0ms (0%)

sample4.8s (51.3%)

Algorithm

1×

intervals

Results

2.4s	3987×	body	1024	valid
658.0ms	1963×	body	512	valid
356.0ms	390×	body	2048	valid
204.0ms	1056×	body	256	valid
53.0ms	604×	body	128	valid

Compiler

Compiled 397 to 335 computations (15.6% saved)

Details

analyze461.0ms (4.9%)

sample134.0ms (1.4%)

simplify304.0ms (3.3%)

prune4.0ms (0%)

localize15.0ms (0.2%)

rewrite46.0ms (0.5%)

series115.0ms (1.2%)

simplify138.0ms (1.5%)

prune206.0ms (2.2%)

localize27.0ms (0.3%)

rewrite63.0ms (0.7%)

series327.0ms (3.5%)

simplify90.0ms (1%)

prune295.0ms (3.2%)

localize30.0ms (0.3%)

rewrite58.0ms (0.6%)

series434.0ms (4.7%)

simplify129.0ms (1.4%)

prune266.0ms (2.9%)

localize17.0ms (0.2%)

rewrite136.0ms (1.5%)

series308.0ms (3.3%)

simplify188.0ms (2%)

prune537.0ms (5.8%)

regimes212.0ms (2.3%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample4.8s (51.3%)

Profiling