Details

analyze342.0ms (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)

sample101.0ms (1.5%)

Algorithm

1×

intervals

Results

57.0ms	127×	body	1024	valid
20.0ms	77×	body	512	valid
9.0ms	15×	body	2048	valid
3.0ms	20×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify219.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (212.0ms)

Iter	Nodes	Cost
0	5283	12

prune4.0ms (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

58.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
4.4b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite169.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

58.2b

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×	`div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `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` `div-sub_binary64_1106` `clear-num_binary64_1100` `flip3--_binary64_1105` `flip--_binary64_1076`

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)))

Compiler

Compiled 1606 to 1253 computations (22% saved)

series81.0ms (1.2%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

49.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
20.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 274 to 251 computations (8.4% saved)

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5400	1921

prune130.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	4	107

Error

0.0b

Counts

107 → 4

Compiler

Compiled 1588 to 1226 computations (22.8% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite121.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 72

Calls

3 calls:

8.0ms	(*.f64 2/5 (pow.f64 eps 5))
7.0ms	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
7.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 1616 to 1304 computations (19.3% saved)

series195.0ms (2.8%)

Error

0.0b

Counts

3 → 11

Calls

3 calls:

86.0ms	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
52.0ms	(*.f64 2/3 (pow.f64 eps 3))
43.0ms	(*.f64 2/5 (pow.f64 eps 5))

Compiler

Compiled 388 to 332 computations (14.4% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5064	1080

prune108.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	83	4	87

Error

Counts

87 → 4

Compiler

Compiled 1654 to 1321 computations (20.1% saved)

localize10.0ms (0.1%)

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

rewrite162.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_1123`
19×	`associate-r_binary64_1041`
13×	`add-exp-log_binary64_1139`
10×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
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×	`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

3 → 67

Calls

3 calls:

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

Compiler

Compiled 1493 to 1206 computations (19.2% saved)

series207.0ms (3%)

Error

Counts

3 → 12

Calls

3 calls:

117.0ms	(+.f64 (.f64 2/3 (pow.f64 eps 3)) (.f64 2/5 (pow.f64 eps 5)))
43.0ms	(*.f64 2/3 (pow.f64 eps 3))
38.0ms	(*.f64 2/5 (pow.f64 eps 5))

Compiler

Compiled 459 to 388 computations (15.5% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5320	897

prune113.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Error

Counts

83 → 4

Compiler

Compiled 1554 to 1241 computations (20.1% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 eps 1))
0.0b	(/.f64 eps (+.f64 eps 1))
0.0b	(-.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1)))
4.4b	(log.f64 (-.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1))))

rewrite296.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

123×	`*-un-lft-identity_binary64_1101`
78×	`times-frac_binary64_1107`
69×	`add-sqr-sqrt_binary64_1123`
35×	`add-cube-cbrt_binary64_1136`
23×	`log-prod_binary64_1187`
21×	`distribute-lft-out_binary64_1052`
18×	`cancel-sign-sub-inv_binary64_1067`
16×	`distribute-lft-out--_binary64_1053`
15×	`div-inv_binary64_1098`
14×	`associate-/r/_binary64_1047`
12×	`difference-of-squares_binary64_1070` `distribute-rgt-out--_binary64_1055`
11×	`add-exp-log_binary64_1139`
8×	`add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
7×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
6×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `associate-/l*_binary64_1046`
4×	`log-div_binary64_1188`
3×	`div-exp_binary64_1152`
2×	`frac-sub_binary64_1110` `sub-div_binary64_1108` `flip3--_binary64_1105` `flip--_binary64_1076` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`log-pow_binary64_1190` `rem-log-exp_binary64_1142` `diff-log_binary64_1193` `sub-neg_binary64_1094` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151`

Counts

4 → 157

Calls

4 calls:

28.0ms	(-.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1)))
26.0ms	(log.f64 (-.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1))))
8.0ms	(/.f64 eps (+.f64 eps 1))
5.0ms	(/.f64 1 (+.f64 eps 1))

Compiler

Compiled 3269 to 2504 computations (23.4% saved)

series144.0ms (2.1%)

Error

Counts

4 → 28

Calls

4 calls:

49.0ms	(log.f64 (-.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1))))
32.0ms	(-.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (+.f64 eps 1)))
31.0ms	(/.f64 eps (+.f64 eps 1))
13.0ms	(/.f64 1 (+.f64 eps 1))

Compiler

Compiled 674 to 575 computations (14.7% saved)

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5172	2846

prune201.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	185	4	189

Error

Counts

189 → 4

Compiler

Compiled 3031 to 2321 computations (23.4% saved)

regimes267.0ms (3.9%)

Accuracy

Total 0.2b remaining (98.4%)

Threshold costs 0.2b (98.4%)

Compiler

Compiled 2078 to 1784 computations (14.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	22
1	76	22

end0.0ms (0%)

sample3.6s (52.6%)

Algorithm

1×

intervals

Results

1.6s	4051×	body	1024	valid
442.0ms	1999×	body	512	valid
278.0ms	457×	body	2048	valid
118.0ms	955×	body	256	valid
41.0ms	538×	body	128	valid

Compiler

Compiled 680 to 585 computations (14% saved)

Details

analyze342.0ms (5%)

sample101.0ms (1.5%)

simplify219.0ms (3.2%)

prune4.0ms (0.1%)

localize10.0ms (0.1%)

rewrite169.0ms (2.4%)

series81.0ms (1.2%)

simplify99.0ms (1.4%)

prune130.0ms (1.9%)

localize17.0ms (0.2%)

rewrite121.0ms (1.8%)

series195.0ms (2.8%)

simplify93.0ms (1.3%)

prune108.0ms (1.6%)

localize10.0ms (0.1%)

rewrite162.0ms (2.4%)

series207.0ms (3%)

simplify69.0ms (1%)

prune113.0ms (1.6%)

localize6.0ms (0.1%)

rewrite296.0ms (4.3%)

series144.0ms (2.1%)

simplify108.0ms (1.6%)

prune201.0ms (2.9%)

regimes267.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.6s (52.6%)

Profiling