Details

analyze2.1s (17.7%)

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)

sample194.0ms (1.6%)

Algorithm

1×

intervals

Results

105.0ms	129×	body	2048	valid
28.0ms	77×	body	1024	valid
6.0ms	308×	pre	128	true
6.0ms	27×	body	512	valid
5.0ms	11×	body	2048	overflowed
5.0ms	14×	body	1024	overflowed
3.0ms	12×	body	512	overflowed
2.0ms	2×	body	4096	valid
1.0ms	8×	body	256	valid
1.0ms	13×	body	128	valid
1.0ms	6×	body	256	overflowed
1.0ms	9×	body	128	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5217	37

prune3.0ms (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

61.0b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
2.2b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
2.7b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.8b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite158.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

61.0b

Rules

33×	`add-sqr-sqrt_binary64_1123`
26×	`*-un-lft-identity_binary64_1101`
15×	`cancel-sign-sub-inv_binary64_1067`
11×	`add-cube-cbrt_binary64_1136`
10×	`add-log-exp_binary64_1140` `difference-of-squares_binary64_1070`
9×	`flip3--_binary64_1105` `flip--_binary64_1076`
7×	`associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
4×	`frac-times_binary64_1111` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
3×	`diff-log_binary64_1193`
2×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
8.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 3325 to 1407 computations (57.7% saved)

series374.0ms (3.1%)

Error

48.4b

Counts

4 → 39

Calls

4 calls:

182.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
60.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
41.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
38.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 3229 to 2126 computations (34.2% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5382	2654

prune173.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	6	136

Error

48.3b

Counts

136 → 6

Compiler

Compiled 4309 to 1835 computations (57.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
3.3b	(.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps)))
3.8b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
7.0b	(.f64 (.f64 1/2 (*.f64 a a)) eps)

rewrite191.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

48.3b

Rules

36×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
16×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
15×	`pow1_binary64_1162`
14×	`add-sqr-sqrt_binary64_1123`
12×	`associate-*r/_binary64_1043`
11×	`*-un-lft-identity_binary64_1101`
8×	`add-cube-cbrt_binary64_1136` `associate-/r/_binary64_1047`
7×	`pow-prod-down_binary64_1172`
6×	`add-log-exp_binary64_1140` `associate-r_binary64_1041` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
5×	`flip3--_binary64_1105` `flip--_binary64_1076`
4×	`associate-l_binary64_1042` `flip3-+_binary64_1104` `flip-+_binary64_1075` `frac-times_binary64_1111`
3×	`cancel-sign-sub-inv_binary64_1067`
2×	`-commutative_binary64_1032` `difference-of-squares_binary64_1070` `associate-/l/_binary64_1048` `associate-l/_binary64_1044`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `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 → 96

Calls

4 calls:

17.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
8.0ms	(.f64 (.f64 1/2 (*.f64 a a)) eps)
6.0ms	(.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps)))
5.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

Compiler

Compiled 4204 to 1853 computations (55.9% saved)

series1.0s (8.5%)

Error

1.4b

Counts

4 → 45

Calls

4 calls:

632.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps))) (-.f64 (exp.f64 (.f64 b eps)) 1)))
149.0ms	(.f64 eps (+.f64 a (.f64 (.f64 1/2 (.f64 a a)) eps)))
103.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
80.0ms	(.f64 (.f64 1/2 (*.f64 a a)) eps)

Compiler

Compiled 5044 to 3289 computations (34.8% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5071	3915

prune194.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	138	3	141
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	141	6	147

Error

1.4b

Counts

147 → 6

Compiler

Compiled 5173 to 2271 computations (56.1% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

15.4b

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

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_1101`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`times-frac_binary64_1107` `associate-/l*_binary64_1046`
3×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `distribute-lft-out_binary64_1052` `associate-/l/_binary64_1048`
1×	`pow1_binary64_1162` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/r*_binary64_1045`

Counts

1 → 25

Calls

1 calls:

6.0ms

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

Compiler

Compiled 342 to 92 computations (73.1% saved)

series113.0ms (0.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

105.0ms

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

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5070	408

prune30.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	38	5	43

Error

0.0b

Counts

43 → 5

Compiler

Compiled 410 to 166 computations (59.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite29.0ms (0.2%)

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:

13.0ms

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

Compiler

Compiled 267 to 210 computations (21.3% saved)

series66.0ms (0.5%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

61.0ms

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

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune18.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	31	5	36

Error

0.0b

Counts

36 → 5

Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes374.0ms (3.1%)

Accuracy

Total 0.6b remaining (88.1%)

Threshold costs 0.6b (88.1%)

Compiler

Compiled 4754 to 3384 computations (28.8% 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	57	137
1	57	137

Remove

(sort a b)

Compiler

Compiled 176 to 102 computations (42% saved)

end0.0ms (0%)

sample6.6s (54.8%)

Algorithm

1×

intervals

Results

3.2s	4131×	body	2048	valid
945.0ms	2358×	body	1024	valid
223.0ms	9698×	pre	128	true
195.0ms	382×	body	2048	overflowed
194.0ms	593×	body	1024	overflowed
183.0ms	735×	body	512	valid
60.0ms	281×	body	512	overflowed
38.0ms	526×	body	128	valid
35.0ms	232×	body	256	valid
23.0ms	294×	body	128	overflowed
23.0ms	18×	body	4096	valid
20.0ms	144×	body	256	overflowed
3.0ms	4×	body	2048	invalid

Compiler

Compiled 1301 to 916 computations (29.6% saved)

Details

analyze2.1s (17.7%)

sample194.0ms (1.6%)

simplify23.0ms (0.2%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite158.0ms (1.3%)

series374.0ms (3.1%)

simplify54.0ms (0.4%)

prune173.0ms (1.4%)

localize19.0ms (0.2%)

rewrite191.0ms (1.6%)

series1.0s (8.5%)

simplify82.0ms (0.7%)

prune194.0ms (1.6%)

localize5.0ms (0%)

rewrite28.0ms (0.2%)

series113.0ms (0.9%)

simplify55.0ms (0.5%)

prune30.0ms (0.2%)

localize5.0ms (0%)

rewrite29.0ms (0.2%)

series66.0ms (0.5%)

simplify85.0ms (0.7%)

prune18.0ms (0.2%)

regimes374.0ms (3.1%)

bsearch3.0ms (0%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample6.6s (54.8%)

Profiling