Details

analyze8.0ms (0.2%)

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 (1.7%)

Algorithm

1×

intervals

Results

39.0ms	112×	body	1024	valid
14.0ms	73×	body	512	valid
9.0ms	16×	body	2048	valid
4.0ms	34×	body	256	valid
1.0ms	21×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify366.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (203.0ms)

Iter	Nodes	Cost
0	4989	12
1	4989	12

prune5.0ms (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

Merged error: 58.0b

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))
5.4b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1111`
52×	`add-sqr-sqrt_binary64_1133`
48×	`times-frac_binary64_1117`
30×	`log-prod_binary64_1197`
25×	`add-cube-cbrt_binary64_1146`
18×	`difference-of-squares_binary64_1080`
13×	`distribute-lft-out_binary64_1062`
9×	`distribute-lft-out--_binary64_1063`
7×	`add-exp-log_binary64_1149`
6×	`associate-/l*_binary64_1056`
4×	`add-cbrt-cube_binary64_1147` `associate-/r*_binary64_1055` `associate-/r/_binary64_1057`
3×	`pow1_binary64_1172`
2×	`div-inv_binary64_1108` `flip-+_binary64_1085` `associate-/l/_binary64_1058` `flip3-+_binary64_1114` `div-exp_binary64_1162` `add-log-exp_binary64_1150` `rem-log-exp_binary64_1152`
1×	`frac-2neg_binary64_1122` `flip3--_binary64_1115` `log-pow_binary64_1200` `cbrt-undiv_binary64_1145` `log-div_binary64_1198` `clear-num_binary64_1110` `div-sub_binary64_1116` `flip--_binary64_1086`

Counts

2 → 92

Calls

2 calls:

10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series81.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
25.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5316	1892

prune186.0ms (4.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

Compiler

Compiled 2710 to 2185 computations (19.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1133`
15×	`associate-l_binary64_1052`
12×	`add-exp-log_binary64_1149`
10×	`associate-r_binary64_1051`
9×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
8×	`unpow-prod-down_binary64_1190`
7×	`unswap-sqr_binary64_1079`
6×	`prod-exp_binary64_1160` `add-cbrt-cube_binary64_1147`
4×	`cube-prod_binary64_1139` `sqr-pow_binary64_1083`
2×	`*-commutative_binary64_1042` `cbrt-unprod_binary64_1144` `pow-exp_binary64_1179` `add-log-exp_binary64_1150` `pow1_binary64_1172` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `unpow3_binary64_1177`

Counts

2 → 56

Calls

2 calls:

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

series116.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

67.0ms	(*.f64 2/5 (pow.f64 eps 5))
49.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5192	594

prune69.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

Compiler

Compiled 1238 to 860 computations (30.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
5.1b	(log.f64 (+.f64 1 eps))
5.4b	(log.f64 (-.f64 1 eps))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_1111`
20×	`log-prod_binary64_1197`
16×	`add-sqr-sqrt_binary64_1133`
10×	`pow1_binary64_1172`
8×	`add-cube-cbrt_binary64_1146` `log-div_binary64_1198`
7×	`log-pow_binary64_1200`
6×	`associate--l+_binary64_1048` `distribute-lft-out--_binary64_1063`
5×	`difference-of-squares_binary64_1080` `add-exp-log_binary64_1149`
4×	`cancel-sign-sub-inv_binary64_1077` `associate--r+_binary64_1047`
3×	`add-cbrt-cube_binary64_1147` `flip3--_binary64_1115` `add-log-exp_binary64_1150` `flip--_binary64_1086`
2×	`flip-+_binary64_1085` `associate--r-_binary64_1050` `flip3-+_binary64_1114` `distribute-lft-out_binary64_1062` `rem-log-exp_binary64_1152` `associate--l-_binary64_1049`
1×	`diff-log_binary64_1203` `sub-neg_binary64_1104`

Counts

3 → 66

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
4.0ms	(log.f64 (-.f64 1 eps))
3.0ms	(log.f64 (+.f64 1 eps))

series122.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

74.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 1 eps)))
25.0ms	(log.f64 (-.f64 1 eps))
23.0ms	(log.f64 (+.f64 1 eps))

simplify93.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4878	1093
1	4878	1093

prune90.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

Compiler

Compiled 1478 to 1181 computations (20.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.1b	(log.f64 (+.f64 1 eps))
5.1b	(log.f64 (+.f64 1 eps))
5.1b	(log.f64 (+.f64 1 eps))
5.4b	(log.f64 (-.f64 1 eps))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64_1197`
17×	`*-un-lft-identity_binary64_1111`
11×	`add-sqr-sqrt_binary64_1133`
8×	`add-cube-cbrt_binary64_1146` `log-div_binary64_1198` `pow1_binary64_1172` `add-exp-log_binary64_1149`
4×	`add-cbrt-cube_binary64_1147` `log-pow_binary64_1200` `add-log-exp_binary64_1150` `rem-log-exp_binary64_1152`
3×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `distribute-lft-out_binary64_1062`
2×	`difference-of-squares_binary64_1080`
1×	`flip3--_binary64_1115` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086`

Counts

4 → 62

Calls

4 calls:

6.0ms	(log.f64 (-.f64 1 eps))
4.0ms	(log.f64 (+.f64 1 eps))
4.0ms	(log.f64 (+.f64 1 eps))
4.0ms	(log.f64 (+.f64 1 eps))

series89.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(log.f64 (-.f64 1 eps))
23.0ms	(log.f64 (+.f64 1 eps))
21.0ms	(log.f64 (+.f64 1 eps))
20.0ms	(log.f64 (+.f64 1 eps))

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4852	880
1	4852	880

prune122.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

Compiler

Compiled 2233 to 1807 computations (19.1% saved)

regimes16.0ms (0.4%)

Compiler: Compiled 110 to 94 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	22
1	66	22

end0.0ms (0%)

sample2.5s (57.9%)

Algorithm

1×

intervals

Results

1.4s	3917×	body	1024	valid
378.0ms	1974×	body	512	valid
228.0ms	429×	body	2048	valid
112.0ms	1050×	body	256	valid
32.0ms	630×	body	128	valid

Compiler

Compiled 147 to 126 computations (14.3% saved)

Details

analyze8.0ms (0.2%)

sample73.0ms (1.7%)

simplify366.0ms (8.6%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

rewrite28.0ms (0.6%)

series81.0ms (1.9%)

simplify73.0ms (1.7%)

prune186.0ms (4.4%)

localize10.0ms (0.2%)

rewrite17.0ms (0.4%)

series116.0ms (2.7%)

simplify58.0ms (1.4%)

prune69.0ms (1.6%)

localize6.0ms (0.2%)

rewrite24.0ms (0.6%)

series122.0ms (2.9%)

simplify93.0ms (2.2%)

prune90.0ms (2.1%)

localize10.0ms (0.2%)

rewrite22.0ms (0.5%)

series89.0ms (2.1%)

simplify99.0ms (2.3%)

prune122.0ms (2.9%)

regimes16.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.5s (57.9%)

Profiling