Details

analyze2.0s (15.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5719	148
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	49.3%	50.3%	10
0.6%	48.9%	50.5%	11
1.1%	48.1%	50.9%	12
1.5%	47.3%	51.2%	13
1.7%	46.9%	51.5%	14

Symmetry

sort(a b)

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample182.0ms (1.4%)

Algorithm

1×

intervals

Results

88.0ms	120×	body	2048	valid
35.0ms	92×	body	1024	valid
6.0ms	7×	body	256	valid
6.0ms	303×	pre	128	true
5.0ms	18×	body	1024	overflowed
5.0ms	23×	body	512	valid
5.0ms	11×	body	2048	overflowed
1.0ms	1×	body	4096	valid
1.0ms	7×	body	512	overflowed
1.0ms	13×	body	128	valid
1.0ms	8×	body	128	overflowed
0.0ms	3×	body	256	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5217	37

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

60.7b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
3.0b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.2b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
6.0b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite147.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

60.7b

Rules

19×	`add-sqr-sqrt_binary64_1123`
16×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `*-un-lft-identity_binary64_1101`
10×	`add-log-exp_binary64_1140` `flip3--_binary64_1105` `flip--_binary64_1076`
9×	`cancel-sign-sub-inv_binary64_1067`
8×	`associate-/r/_binary64_1047`
7×	`add-cube-cbrt_binary64_1136`
6×	`difference-of-squares_binary64_1070`
4×	`pow1_binary64_1162` `prod-exp_binary64_1150` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `cbrt-unprod_binary64_1134` `associate-*r/_binary64_1043` `frac-times_binary64_1111`
3×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
2×	`associate-/l/_binary64_1048` `associate-*l/_binary64_1044`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045`

Counts

4 → 85

Calls

4 calls:

16.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3131 to 1304 computations (58.4% saved)

series929.0ms (7.3%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

736.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
61.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
53.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
29.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 3658 to 2092 computations (42.8% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5004	2934

prune144.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	5	125

Error

0.0b

Counts

125 → 5

Compiler

Compiled 3800 to 1604 computations (57.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 eps (+.f64 b a))
0.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/12 (.f64 eps (*.f64 eps (+.f64 b a))))))
0.2b	(.f64 eps (.f64 eps (+.f64 b a)))
0.2b	(.f64 1/12 (.f64 eps (*.f64 eps (+.f64 b a))))

rewrite152.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
18×	`associate-*r/_binary64_1043`
17×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
13×	`*-un-lft-identity_binary64_1101`
10×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `add-sqr-sqrt_binary64_1123`
9×	`add-log-exp_binary64_1140` `associate-l_binary64_1042`
8×	`add-cube-cbrt_binary64_1136`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-r_binary64_1041` `frac-add_binary64_1109`
3×	`*-commutative_binary64_1032` `sum-log_binary64_1192` `distribute-lft-out_binary64_1052`
1×	`div-inv_binary64_1098` `associate-+r+_binary64_1033` `+-commutative_binary64_1031` `unswap-sqr_binary64_1069`

Counts

4 → 97

Calls

4 calls:

16.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/12 (.f64 eps (*.f64 eps (+.f64 b a))))))
10.0ms	(.f64 1/12 (.f64 eps (*.f64 eps (+.f64 b a))))
7.0ms	(.f64 eps (.f64 eps (+.f64 b a)))
6.0ms	(*.f64 eps (+.f64 b a))

Compiler

Compiled 2576 to 1237 computations (52% saved)

series516.0ms (4.1%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

284.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/12 (.f64 eps (*.f64 eps (+.f64 b a))))))
80.0ms	(.f64 1/12 (.f64 eps (*.f64 eps (+.f64 b a))))
60.0ms	(.f64 eps (.f64 eps (+.f64 b a)))
49.0ms	(*.f64 eps (+.f64 b a))

Compiler

Compiled 2198 to 1801 computations (18.1% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4998	2367
1	4998	2367

prune133.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	146	4	150

Error

0.0b

Counts

150 → 4

Compiler

Compiled 3057 to 1523 computations (50.2% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1 a) (/.f64 1 b))

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_1101`
7×	`distribute-lft-out_binary64_1052`
6×	`times-frac_binary64_1107`
4×	`div-inv_binary64_1098`
3×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
1×	`sum-log_binary64_1192` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `frac-add_binary64_1109` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

1 → 19

Calls

1 calls:

14.0ms

(+.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 267 to 210 computations (21.3% saved)

series58.0ms (0.5%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

53.0ms

(+.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune24.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	31	4	35

Error

0.0b

Counts

35 → 4

Compiler

Compiled 360 to 267 computations (25.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

13.0b	(.f64 (+.f64 a b) (.f64 eps eps))
13.0b	(.f64 (+.f64 a b) (.f64 eps eps))
13.0b	(.f64 (+.f64 a b) (.f64 eps eps))
21.0b	(/.f64 (.f64 (-.f64 (/.f64 1 b) (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps)))) (+.f64 (.f64 a (+.f64 (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps))) (/.f64 1 b))) 1)) (.f64 a (-.f64 (/.f64 1 b) (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps))))))

rewrite331.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
19×	`pow1_binary64_1162`
18×	`associate-*l/_binary64_1044`
14×	`associate-*r/_binary64_1043` `associate-/l/_binary64_1048`
13×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `*-un-lft-identity_binary64_1101`
12×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-l_binary64_1042`
10×	`add-sqr-sqrt_binary64_1123`
9×	`pow-prod-down_binary64_1172`
8×	`frac-sub_binary64_1110` `frac-times_binary64_1111`
7×	`add-cube-cbrt_binary64_1136`
4×	`div-exp_binary64_1152` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-/r/_binary64_1047`
3×	`unswap-sqr_binary64_1069` `distribute-lft-out_binary64_1052` `associate-r_binary64_1041` `*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045`

Counts

4 → 105

Calls

4 calls:

42.0ms	(/.f64 (.f64 (-.f64 (/.f64 1 b) (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps)))) (+.f64 (.f64 a (+.f64 (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps))) (/.f64 1 b))) 1)) (.f64 a (-.f64 (/.f64 1 b) (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps))))))
8.0ms	(.f64 (+.f64 a b) (.f64 eps eps))
8.0ms	(.f64 (+.f64 a b) (.f64 eps eps))
8.0ms	(.f64 (+.f64 a b) (.f64 eps eps))

Compiler

Compiled 6991 to 3064 computations (56.2% saved)

series803.0ms (6.3%)

Error

0.0b

Counts

4 → 55

Calls

4 calls:

465.0ms	(/.f64 (.f64 (-.f64 (/.f64 1 b) (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps)))) (+.f64 (.f64 a (+.f64 (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps))) (/.f64 1 b))) 1)) (.f64 a (-.f64 (/.f64 1 b) (.f64 1/12 (.f64 (+.f64 a b) (.f64 eps eps))))))
98.0ms	(.f64 (+.f64 a b) (.f64 eps eps))
97.0ms	(.f64 (+.f64 a b) (.f64 eps eps))
72.0ms	(.f64 (+.f64 a b) (.f64 eps eps))

Compiler

Compiled 5310 to 3461 computations (34.8% saved)

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5418	3517

prune279.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	158	6	164

Error

Counts

164 → 6

Compiler

Compiled 7505 to 3348 computations (55.4% saved)

regimes365.0ms (2.9%)

Accuracy

Total 0.9b remaining (88.9%)

Threshold costs 0.9b (88.9%)

Compiler

Compiled 5046 to 3428 computations (32.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 24 to 19 computations (20.8% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	153
1	60	153

Removed

()

Compiler

Compiled 200 to 118 computations (41% saved)

end0.0ms (0%)

sample6.2s (49%)

Algorithm

1×

intervals

Results

3.0s	3995×	body	2048	valid
950.0ms	2497×	body	1024	valid
205.0ms	9655×	pre	128	true
183.0ms	394×	body	2048	overflowed
176.0ms	587×	body	1024	overflowed
160.0ms	721×	body	512	valid
49.0ms	251×	body	512	overflowed
38.0ms	542×	body	128	valid
33.0ms	234×	body	256	valid
18.0ms	280×	body	128	overflowed
18.0ms	143×	body	256	overflowed
11.0ms	11×	body	4096	valid

Compiler

Compiled 1386 to 935 computations (32.5% saved)

Details

analyze2.0s (15.7%)

sample182.0ms (1.4%)

simplify22.0ms (0.2%)

prune6.0ms (0%)

localize16.0ms (0.1%)

rewrite147.0ms (1.2%)

series929.0ms (7.3%)

simplify55.0ms (0.4%)

prune144.0ms (1.1%)

localize11.0ms (0.1%)

rewrite152.0ms (1.2%)

series516.0ms (4.1%)

simplify69.0ms (0.5%)

prune133.0ms (1%)

localize5.0ms (0%)

rewrite33.0ms (0.3%)

series58.0ms (0.5%)

simplify82.0ms (0.6%)

prune24.0ms (0.2%)

localize17.0ms (0.1%)

rewrite331.0ms (2.6%)

series803.0ms (6.3%)

simplify88.0ms (0.7%)

prune279.0ms (2.2%)

regimes365.0ms (2.9%)

bsearch3.0ms (0%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample6.2s (49%)

Profiling