Details

analyze5.0ms (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 13 to 12 computations (7.7% saved)

sample81.0ms (1.2%)

Algorithm

1×

intervals

Results

43.0ms	119×	body	1024	valid
13.0ms	62×	body	512	valid
9.0ms	18×	body	2048	valid
5.0ms	39×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify347.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (243.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.2b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite139.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

58.0b

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-/r*_binary64_1045`
4×	`associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137` `associate-/l*_binary64_1046`
3×	`pow1_binary64_1162`
2×	`div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076` `div-exp_binary64_1152` `rem-log-exp_binary64_1142` `add-log-exp_binary64_1140` `associate-/l/_binary64_1048`
1×	`log-pow_binary64_1190` `log-div_binary64_1188` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

2 → 91

Calls

2 calls:

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

Compiler

Compiled 1776 to 1426 computations (19.7% saved)

series81.0ms (1.2%)

Error

0.1b

Counts

2 → 14

Calls

2 calls:

44.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
23.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 338 to 315 computations (6.8% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5617	1927

prune110.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	4	106

Error

0.0b

Counts

106 → 4

Compiler

Compiled 1823 to 1450 computations (20.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/7 (pow.f64 x 7))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.2b	(*.f64 2/3 (pow.f64 x 3))

rewrite186.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_1123`
26×	`associate-r_binary64_1041`
19×	`add-exp-log_binary64_1139`
14×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
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×	`pow1_binary64_1162` `cube-prod_binary64_1129`
3×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

4 → 92

Calls

4 calls:

7.0ms	(*.f64 2/3 (pow.f64 x 3))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 2/7 (pow.f64 x 7))
6.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))

Compiler

Compiled 2761 to 2097 computations (24% saved)

series261.0ms (3.9%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

111.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
51.0ms	(*.f64 2/7 (pow.f64 x 7))
44.0ms	(*.f64 2/5 (pow.f64 x 5))
38.0ms	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 930 to 740 computations (20.4% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5362	1186

prune160.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	107	4	111

Error

0.0b

Counts

111 → 4

Compiler

Compiled 2976 to 2234 computations (24.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 x 1)))
6.1b	(log.f64 (+.f64 x 1))
6.1b	(log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))

rewrite170.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`*-un-lft-identity_binary64_1101`
60×	`log-prod_binary64_1187`
40×	`times-frac_binary64_1107`
33×	`add-sqr-sqrt_binary64_1123`
26×	`associate-+l+_binary64_1034`
25×	`add-cube-cbrt_binary64_1136`
16×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
9×	`pow1_binary64_1162`
7×	`add-exp-log_binary64_1139`
6×	`log-pow_binary64_1190` `log-div_binary64_1188`
4×	`associate-/r/_binary64_1047` `associate-+r+_binary64_1033`
3×	`rem-log-exp_binary64_1142` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`div-inv_binary64_1098` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-+r-_binary64_1035`
1×	`div-exp_binary64_1152` `sum-log_binary64_1192` `associate-+l-_binary64_1036` `+-commutative_binary64_1031`

Counts

3 → 100

Calls

3 calls:

15.0ms	(+.f64 (log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 x 1)))
7.0ms	(log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))
4.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 2758 to 2022 computations (26.7% saved)

series145.0ms (2.1%)

Error

0.0b

Counts

3 → 20

Calls

3 calls:

62.0ms	(+.f64 (log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 x 1)))
36.0ms	(log.f64 (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))
28.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 762 to 631 computations (17.2% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5047	2381

prune153.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Error

0.0b

Counts

124 → 5

Compiler

Compiled 2859 to 2125 computations (25.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (/.f64 1 (+.f64 1 x))) (-.f64 (*.f64 2 (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x))))
6.1b	(log.f64 (-.f64 1 x))
6.1b	(log.f64 (+.f64 x 1))
6.1b	(log.f64 (/.f64 1 (+.f64 1 x)))

rewrite231.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`log-prod_binary64_1187`
49×	`*-un-lft-identity_binary64_1101`
28×	`add-sqr-sqrt_binary64_1123`
25×	`add-cube-cbrt_binary64_1136`
24×	`times-frac_binary64_1107`
18×	`associate-+l+_binary64_1034`
15×	`associate-+r+_binary64_1033`
11×	`distribute-lft-out_binary64_1052` `add-exp-log_binary64_1139`
10×	`pow1_binary64_1162`
8×	`log-div_binary64_1188` `associate--l+_binary64_1038`
7×	`log-pow_binary64_1190`
6×	`rem-log-exp_binary64_1142` `add-log-exp_binary64_1140`
4×	`flip3-+_binary64_1104` `associate-/r/_binary64_1047` `flip-+_binary64_1075` `add-cbrt-cube_binary64_1137` `cancel-sign-sub-inv_binary64_1067` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
2×	`div-inv_binary64_1098` `div-exp_binary64_1152` `flip3--_binary64_1105` `flip--_binary64_1076` `difference-of-squares_binary64_1070` `sum-log_binary64_1192` `associate--r-_binary64_1040`
1×	`inv-pow_binary64_1186` `pow-flip_binary64_1175` `log-rec_binary64_1189` `1-exp_binary64_1145` `rec-exp_binary64_1151` `distribute-lft-out--_binary64_1053` `diff-log_binary64_1193` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `sub-neg_binary64_1094` `+-commutative_binary64_1031`

Counts

4 → 115

Calls

4 calls:

18.0ms	(+.f64 (log.f64 (/.f64 1 (+.f64 1 x))) (-.f64 (*.f64 2 (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x))))
6.0ms	(log.f64 (-.f64 1 x))
6.0ms	(log.f64 (/.f64 1 (+.f64 1 x)))
3.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 3255 to 2788 computations (14.3% saved)

series204.0ms (3%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

87.0ms	(+.f64 (log.f64 (/.f64 1 (+.f64 1 x))) (-.f64 (*.f64 2 (log.f64 (+.f64 x 1))) (log.f64 (-.f64 1 x))))
30.0ms	(log.f64 (/.f64 1 (+.f64 1 x)))
30.0ms	(log.f64 (-.f64 1 x))
29.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1302 to 1129 computations (13.3% saved)

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4910	1994
1	4910	1994

prune188.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	141	5	146

Error

0.0b

Counts

146 → 5

Compiler

Compiled 3233 to 2708 computations (16.2% saved)

regimes343.0ms (5.1%)

Accuracy

Total 0.2b remaining (98.9%)

Threshold costs 0.2b (98.9%)

Compiler

Compiled 4527 to 3846 computations (15% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	34
1	27	34

end0.0ms (0%)

sample3.6s (53%)

Algorithm

1×

intervals

Results

1.5s	4032×	body	1024	valid
411.0ms	1945×	body	512	valid
227.0ms	429×	body	2048	valid
130.0ms	1026×	body	256	valid
35.0ms	568×	body	128	valid

Compiler

Compiled 1100 to 935 computations (15% saved)

Details

analyze5.0ms (0.1%)

sample81.0ms (1.2%)

simplify347.0ms (5.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite139.0ms (2.1%)

series81.0ms (1.2%)

simplify79.0ms (1.2%)

prune110.0ms (1.6%)

localize17.0ms (0.2%)

rewrite186.0ms (2.7%)

series261.0ms (3.9%)

simplify69.0ms (1%)

prune160.0ms (2.4%)

localize10.0ms (0.1%)

rewrite170.0ms (2.5%)

series145.0ms (2.1%)

simplify79.0ms (1.2%)

prune153.0ms (2.3%)

localize14.0ms (0.2%)

rewrite231.0ms (3.4%)

series204.0ms (3%)

simplify98.0ms (1.4%)

prune188.0ms (2.8%)

regimes343.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.6s (53%)

Profiling