Details

analyze7.0ms (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)

sample106.0ms (1.3%)

Algorithm

1×

intervals

Results

55.0ms	116×	body	1024	valid
16.0ms	61×	body	512	valid
15.0ms	19×	body	2048	valid
7.0ms	42×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify327.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	5283	12

prune6.0ms (0.1%)

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

58.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.7b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.7b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite48.0ms (0.6%)

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

4 calls:

17.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
15.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series83.0ms (1.1%)

Counts

2 → 14

Calls

2 calls:

51.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
32.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 161 to 155 computations (3.7% saved)

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5400	1921

prune196.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

0.0b

Counts

107 → 2

Compiler

Compiled 1574 to 1213 computations (22.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

4 calls:

10.0ms	(*.f64 (pow.f64 eps 3) 2/3)
9.0ms	(*.f64 2/5 (pow.f64 eps 5))
0.0ms	(*.f64 2/5 (pow.f64 eps 5))
0.0ms	(*.f64 (pow.f64 eps 3) 2/3)

series136.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(*.f64 2/5 (pow.f64 eps 5))
61.0ms	(*.f64 (pow.f64 eps 3) 2/3)

Compiler

Compiled 180 to 156 computations (13.3% saved)

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4968	592
1	4968	592

prune109.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Error

0.0b

Counts

64 → 2

Compiler

Compiled 1226 to 975 computations (20.5% saved)

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))) (cbrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))) (cbrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.1b	(cbrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
6.7b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
6.7b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
6.7b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite72.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`*-un-lft-identity_binary64_1101`
90×	`log-prod_binary64_1187`
74×	`add-sqr-sqrt_binary64_1123`
72×	`times-frac_binary64_1107`
38×	`add-cube-cbrt_binary64_1136`
24×	`difference-of-squares_binary64_1070`
18×	`distribute-lft-out_binary64_1052`
13×	`add-exp-log_binary64_1139`
12×	`distribute-lft-out--_binary64_1053`
8×	`pow1_binary64_1162`
6×	`rem-log-exp_binary64_1142` `associate-/r/_binary64_1047`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `log-pow_binary64_1190` `cbrt-prod_binary64_1132`
3×	`flip3-+_binary64_1104` `div-inv_binary64_1098` `div-exp_binary64_1152` `flip-+_binary64_1075` `log-div_binary64_1188`
1×	`pow1/3_binary64_1183`

Counts

4 → 135

Calls

8 calls:

16.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
15.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
14.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
3.0ms	(cbrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
0.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

series231.0ms (2.9%)

Counts

4 → 21

Calls

4 calls:

67.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
66.0ms	(cbrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps))))
56.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
42.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 914 to 781 computations (14.6% saved)

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4942	3098
1	4942	3098

prune474.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Error

0.0b

Counts

158 → 2

Compiler

Compiled 5517 to 4406 computations (20.1% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	226	529
1	226	529

regimes197.0ms (2.5%)

Accuracy

Total 0.2b remaining (96.6%)

Threshold costs 0.2b (96.6%)

Compiler

Compiled 1223 to 1043 computations (14.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

end0.0ms (0%)

sample5.4s (68.9%)

Algorithm

1×

intervals

Results

1.9s	3971×	body	1024	valid
532.0ms	1996×	body	512	valid
273.0ms	392×	body	2048	valid
155.0ms	1052×	body	256	valid
40.0ms	589×	body	128	valid

Compiler

Compiled 1044 to 883 computations (15.4% saved)

Pareto

-0.6343014495259143

Details

analyze7.0ms (0.1%)

sample106.0ms (1.3%)

simplify327.0ms (4.2%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite48.0ms (0.6%)

series83.0ms (1.1%)

simplify120.0ms (1.5%)

prune196.0ms (2.5%)

localize18.0ms (0.2%)

rewrite28.0ms (0.4%)

series136.0ms (1.7%)

simplify85.0ms (1.1%)

prune109.0ms (1.4%)

localize22.0ms (0.3%)

rewrite72.0ms (0.9%)

series231.0ms (2.9%)

simplify150.0ms (1.9%)

prune474.0ms (6%)

simplify17.0ms (0.2%)

regimes197.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.4s (68.9%)

Profiling