Details

analyze2.1s (13.6%)

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)

sample179.0ms (1.2%)

Algorithm

1×

intervals

Results

96.0ms	132×	body	2048	valid
31.0ms	72×	body	1024	valid
6.0ms	29×	body	512	valid
6.0ms	297×	pre	128	true
5.0ms	15×	body	1024	overflowed
4.0ms	9×	body	2048	overflowed
1.0ms	9×	body	256	valid
1.0ms	5×	body	512	overflowed
1.0ms	14×	body	128	valid
1.0ms	9×	body	128	overflowed
0.0ms	3×	body	256	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5217	37

prune5.0ms (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

60.9b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.7b	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
3.7b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.4b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
6.8b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite270.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

60.9b

Rules

33×	`add-sqr-sqrt_binary64_1464`
26×	`*-un-lft-identity_binary64_1442`
15×	`cancel-sign-sub-inv_binary64_1408`
11×	`add-cube-cbrt_binary64_1477`
10×	`add-log-exp_binary64_1481` `difference-of-squares_binary64_1411`
9×	`flip3--_binary64_1446` `flip--_binary64_1417`
7×	`associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
5×	`sub-neg_binary64_1435` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`frac-times_binary64_1452` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
3×	`diff-log_binary64_1534`
2×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.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)
5.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 2976 to 1270 computations (57.3% saved)

series565.0ms (3.7%)

Error

45.8b

Counts

4 → 42

Calls

4 calls:

275.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
98.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
80.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)
59.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 2735 to 1936 computations (29.2% saved)

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4973	2627
1	4973	2627

prune222.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	133	6	139

Error

45.7b

Counts

139 → 6

Compiler

Compiled 2868 to 1280 computations (55.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 (+.f64 a b) eps))
3.8b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps a) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
4.4b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
6.8b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite210.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

45.7b

Rules

25×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
14×	`add-sqr-sqrt_binary64_1464`
12×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
9×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
6×	`add-cube-cbrt_binary64_1477` `cancel-sign-sub-inv_binary64_1408` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
4×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `associate-*r/_binary64_1384`
2×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `exp-to-pow_binary64_1504`
1×	`frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `sum-log_binary64_1533` `exp-prod_binary64_1494` `rem-exp-log_binary64_1482`

Counts

4 → 76

Calls

4 calls:

14.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps a) (-.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)
3.0ms	(exp.f64 (*.f64 (+.f64 a b) eps))

Compiler

Compiled 2336 to 888 computations (62% saved)

series847.0ms (5.5%)

Error

0.3b

Counts

4 → 52

Calls

4 calls:

440.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (.f64 eps a) (-.f64 (exp.f64 (*.f64 b eps)) 1)))
163.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
104.0ms	(exp.f64 (*.f64 (+.f64 a b) eps))
77.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)

Compiler

Compiled 3199 to 2135 computations (33.3% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5654	2563

prune146.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	129	5	134

Error

0.3b

Counts

134 → 5

Compiler

Compiled 2206 to 914 computations (58.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
0.0b	(+.f64 eps (/.f64 (*.f64 eps a) b))
0.0b	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b))))
5.9b	(/.f64 (*.f64 eps a) b)

rewrite173.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-log-exp_binary64_1481`
11×	`*-un-lft-identity_binary64_1442`
9×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`frac-add_binary64_1450`
6×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `flip3-+_binary64_1445` `flip-+_binary64_1416`
5×	`sum-log_binary64_1533`
4×	`pow1_binary64_1503` `associate-*r/_binary64_1384`
3×	`times-frac_binary64_1448` `associate-/r*_binary64_1386` `associate-+r+_binary64_1374` `+-commutative_binary64_1372` `distribute-lft-out_binary64_1393`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`

Counts

4 → 67

Calls

4 calls:

16.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
7.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b))))
5.0ms	(+.f64 eps (/.f64 (*.f64 eps a) b))
4.0ms	(/.f64 (*.f64 eps a) b)

Compiler

Compiled 2002 to 926 computations (53.7% saved)

series910.0ms (5.9%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

377.0ms	(+.f64 (/.f64 1 a) (+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b)))))
272.0ms	(+.f64 (/.f64 1 b) (.f64 1/2 (+.f64 eps (/.f64 (.f64 eps a) b))))
146.0ms	(/.f64 (*.f64 eps a) b)
87.0ms	(+.f64 eps (/.f64 (*.f64 eps a) b))

Compiler

Compiled 1624 to 1344 computations (17.2% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4981	2305
1	4981	2305

prune132.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	119	5	124

Error

0.0b

Counts

124 → 5

Compiler

Compiled 1888 to 1032 computations (45.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_1442`
7×	`distribute-lft-out_binary64_1393`
6×	`times-frac_binary64_1448`
4×	`div-inv_binary64_1439`
3×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
1×	`sum-log_binary64_1533` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `frac-add_binary64_1450` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

1 → 19

Calls

1 calls:

13.0ms

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

Compiler

Compiled 231 to 182 computations (21.2% saved)

series90.0ms (0.6%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

84.0ms

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

Compiler

Compiled 122 to 143 computations (-17.2% saved)

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune29.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	31	5	36

Error

0.0b

Counts

36 → 5

Compiler

Compiled 202 to 156 computations (22.8% saved)

regimes3.2s (20.6%)

Accuracy

Total 0.2b remaining (69.7%)

Threshold costs 0.2b (69.7%)

Compiler

Compiled 36425 to 26281 computations (27.8% saved)

bsearch23.0ms (0.2%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	137
1	53	137

end20.0ms (0.1%)

Compiler: Compiled 264 to 153 computations (42% saved)

sample5.8s (38.1%)

Algorithm

1×

intervals

Results

3.1s	4178×	body	2048	valid
882.0ms	2320×	body	1024	valid
198.0ms	9653×	pre	128	true
169.0ms	551×	body	1024	overflowed
165.0ms	354×	body	2048	overflowed
164.0ms	726×	body	512	valid
57.0ms	293×	body	512	overflowed
38.0ms	522×	body	128	valid
33.0ms	239×	body	256	valid
20.0ms	157×	body	256	overflowed
19.0ms	295×	body	128	overflowed
17.0ms	15×	body	4096	valid
2.0ms	3×	body	2048	invalid

Compiler

Compiled 239 to 183 computations (23.4% saved)

Details

analyze2.1s (13.6%)

sample179.0ms (1.2%)

simplify23.0ms (0.1%)

prune5.0ms (0%)

localize20.0ms (0.1%)

rewrite270.0ms (1.8%)

series565.0ms (3.7%)

simplify84.0ms (0.5%)

prune222.0ms (1.4%)

localize14.0ms (0.1%)

rewrite210.0ms (1.4%)

series847.0ms (5.5%)

simplify58.0ms (0.4%)

prune146.0ms (1%)

localize11.0ms (0.1%)

rewrite173.0ms (1.1%)

series910.0ms (5.9%)

simplify93.0ms (0.6%)

prune132.0ms (0.9%)

localize5.0ms (0%)

rewrite44.0ms (0.3%)

series90.0ms (0.6%)

simplify77.0ms (0.5%)

prune29.0ms (0.2%)

regimes3.2s (20.6%)

bsearch23.0ms (0.2%)

simplify3.0ms (0%)

end20.0ms (0.1%)

sample5.8s (38.1%)

Profiling