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 (1.2%)

Algorithm

1×

intervals

Results

47.0ms	141×	body	1024	valid
11.0ms	61×	body	512	valid
4.0ms	9×	body	2048	valid
3.0ms	27×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify257.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (159.0ms)

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

58.6b

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 (0.4%)

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:

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

series64.0ms (1.1%)

Counts

2 → 14

Calls

2 calls:

41.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
23.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 161 to 155 computations (3.7% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5400	1921

prune119.0ms (2%)

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 1571 to 1210 computations (23% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite39.0ms (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`
13×	`add-log-exp_binary64_1140`
12×	`unpow-prod-down_binary64_1180`
10×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
9×	`prod-exp_binary64_1150`
6×	`diff-log_binary64_1193` `associate--l+_binary64_1038` `sqr-pow_binary64_1073`
4×	`cube-prod_binary64_1129` `pow1_binary64_1162`
3×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `pow-to-exp_binary64_1170`
1×	`cube-mult_binary64_1131` `flip--_binary64_1076` `flip3--_binary64_1105` `unpow3_binary64_1167` `associate--l-_binary64_1039`

Counts

4 → 100

Calls

4 calls:

11.0ms	(-.f64 (-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (.f64 2/5 (pow.f64 eps 5))) (.f64 2/7 (pow.f64 eps 7)))
7.0ms	(*.f64 (pow.f64 eps 3) 2/3)
5.0ms	(*.f64 2/5 (pow.f64 eps 5))
5.0ms	(*.f64 2/7 (pow.f64 eps 7))

series165.0ms (2.8%)

Counts

4 → 15

Calls

4 calls:

52.0ms	(*.f64 2/7 (pow.f64 eps 7))
43.0ms	(*.f64 2/5 (pow.f64 eps 5))
36.0ms	(*.f64 (pow.f64 eps 3) 2/3)
34.0ms	(-.f64 (-.f64 (-.f64 (.f64 eps -2) (.f64 (pow.f64 eps 3) 2/3)) (.f64 2/5 (pow.f64 eps 5))) (.f64 2/7 (pow.f64 eps 7)))

Compiler

Compiled 463 to 401 computations (13.4% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4874	1627
1	4874	1627

prune176.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	115	2	117

Error

0.0b

Counts

117 → 2

Compiler

Compiled 2935 to 2372 computations (19.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))
0.0b	(/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))
0.0b	(*.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))))
4.6b	(log.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))))

rewrite163.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`*-un-lft-identity_binary64_1101`
246×	`add-sqr-sqrt_binary64_1123`
208×	`times-frac_binary64_1107`
186×	`sqrt-prod_binary64_1117`
96×	`add-cube-cbrt_binary64_1136`
69×	`associate-r_binary64_1041`
60×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
41×	`associate-l_binary64_1042`
33×	`add-exp-log_binary64_1139`
30×	`distribute-lft-out--_binary64_1053`
20×	`add-cbrt-cube_binary64_1137`
14×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
10×	`div-exp_binary64_1152`
9×	`pow1_binary64_1162` `unswap-sqr_binary64_1069`
8×	`prod-exp_binary64_1150` `associate-/r/_binary64_1047` `sqrt-div_binary64_1118`
6×	`cbrt-undiv_binary64_1135`
5×	`rem-log-exp_binary64_1142` `flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `associate-/l/_binary64_1048` `div-inv_binary64_1098`
3×	`log-div_binary64_1188`
2×	`frac-times_binary64_1111` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `log-pow_binary64_1190` `associate-l/_binary64_1044`
1×	`*-commutative_binary64_1032` `flip--_binary64_1076` `flip3--_binary64_1105` `log-prod_binary64_1187` `div-sub_binary64_1106`

Counts

4 → 316

Calls

4 calls:

71.0ms	(*.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))))
24.0ms	(log.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))))
12.0ms	(/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))
10.0ms	(/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))

series177.0ms (3%)

Counts

4 → 13

Calls

4 calls:

55.0ms	(log.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))))
43.0ms	(*.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))))
42.0ms	(/.f64 (-.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))
36.0ms	(/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))

Compiler

Compiled 584 to 485 computations (17% saved)

simplify166.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4995	8562
1	4995	8562

prune617.0ms (10.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	328	1	329
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	329	2	331

Error

0.0b

Counts

331 → 2

Compiler

Compiled 9233 to 6598 computations (28.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.7b	(+.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 eps))) (log.f64 (sqrt.f64 (+.f64 1 eps)))))
5.7b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))))
5.8b	(log.f64 (-.f64 1 (sqrt.f64 eps)))
6.0b	(log.f64 (sqrt.f64 (+.f64 1 eps)))

rewrite67.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

134×	`*-un-lft-identity_binary64_1101`
107×	`log-prod_binary64_1187`
73×	`add-sqr-sqrt_binary64_1123`
70×	`times-frac_binary64_1107`
64×	`sqrt-prod_binary64_1117`
49×	`distribute-lft-out_binary64_1052`
45×	`add-cube-cbrt_binary64_1136`
41×	`associate-+l+_binary64_1034`
23×	`pow1_binary64_1162`
21×	`log-pow_binary64_1190`
18×	`associate-+r+_binary64_1033`
12×	`distribute-lft-out--_binary64_1053`
9×	`add-exp-log_binary64_1139` `associate--l+_binary64_1038`
8×	`difference-of-squares_binary64_1070` `sqrt-div_binary64_1118` `log-div_binary64_1188`
6×	`cancel-sign-sub-inv_binary64_1067`
5×	`add-log-exp_binary64_1140` `flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`rem-log-exp_binary64_1142` `associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137`
2×	`sum-log_binary64_1192` `sqrt-pow1_binary64_1119` `associate--r-_binary64_1040` `div-inv_binary64_1098` `pow1/2_binary64_1181`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `associate-+r-_binary64_1035` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `div-exp_binary64_1152`

Counts

4 → 175

Calls

4 calls:

26.0ms	(+.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 eps))) (log.f64 (sqrt.f64 (+.f64 1 eps)))))
10.0ms	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))))
5.0ms	(log.f64 (-.f64 1 (sqrt.f64 eps)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 eps)))

series195.0ms (3.3%)

Counts

4 → 15

Calls

4 calls:

84.0ms	(+.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps)))) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 eps))) (log.f64 (sqrt.f64 (+.f64 1 eps)))))
52.0ms	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 eps)) (sqrt.f64 (+.f64 1 eps))))
33.0ms	(log.f64 (sqrt.f64 (+.f64 1 eps)))
26.0ms	(log.f64 (-.f64 1 (sqrt.f64 eps)))

Compiler

Compiled 839 to 663 computations (21% saved)

simplify104.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5067	4764

prune338.0ms (5.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	190	2	192

Error

0.0b

Counts

192 → 2

Compiler

Compiled 5402 to 4026 computations (25.5% saved)

regimes158.0ms (2.7%)

Accuracy

Total 0.1b remaining (95.9%)

Threshold costs 0.1b (95.9%)

Compiler

Compiled 1778 to 1479 computations (16.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	97	31
1	97	31

end0.0ms (0%)

sample2.8s (47%)

Algorithm

1×

intervals

Results

1.3s	3998×	body	1024	valid
367.0ms	1991×	body	512	valid
198.0ms	399×	body	2048	valid
108.0ms	1022×	body	256	valid
29.0ms	590×	body	128	valid

Compiler

Compiled 568 to 473 computations (16.7% saved)

Details

analyze4.0ms (0.1%)

sample73.0ms (1.2%)

simplify257.0ms (4.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite24.0ms (0.4%)

series64.0ms (1.1%)

simplify91.0ms (1.5%)

prune119.0ms (2%)

localize14.0ms (0.2%)

rewrite39.0ms (0.7%)

series165.0ms (2.8%)

simplify79.0ms (1.3%)

prune176.0ms (3%)

localize11.0ms (0.2%)

rewrite163.0ms (2.8%)

series177.0ms (3%)

simplify166.0ms (2.8%)

prune617.0ms (10.5%)

localize16.0ms (0.3%)

rewrite67.0ms (1.1%)

series195.0ms (3.3%)

simplify104.0ms (1.8%)

prune338.0ms (5.7%)

regimes158.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.8s (47%)

Profiling