Details

analyze3.9s (15.9%)

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)

sample339.0ms (1.4%)

Algorithm

1×

intervals

Results

184.0ms	129×	body	2048	valid
56.0ms	75×	body	1024	valid
15.0ms	16×	body	2048	overflowed
11.0ms	25×	body	512	valid
10.0ms	308×	pre	128	true
6.0ms	11×	body	1024	overflowed
4.0ms	15×	body	256	valid
4.0ms	9×	body	512	overflowed
2.0ms	1×	body	2048	invalid
2.0ms	12×	body	128	valid
1.0ms	10×	body	128	overflowed
1.0ms	5×	body	256	overflowed

Compiler

Compiled 55 to 46 computations (16.4% saved)

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

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

61.4b

Counts

2 → 1

Compiler

Compiled 48 to 38 computations (20.8% saved)

localize36.0ms (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))
3.0b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
4.3b	(-.f64 (exp.f64 (*.f64 b eps)) 1)
6.0b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)

rewrite290.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

61.4b

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:

22.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
9.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
9.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
8.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3325 to 1407 computations (57.7% saved)

series649.0ms (2.7%)

Error

48.0b

Counts

4 → 42

Calls

4 calls:

281.0ms	(.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1))
105.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
89.0ms	(-.f64 (exp.f64 (*.f64 b eps)) 1)
78.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3298 to 2136 computations (35.2% saved)

simplify120.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5228	2616

prune298.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	134	5	139

Error

47.8b

Counts

139 → 5

Compiler

Compiled 4254 to 1749 computations (58.9% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (exp.f64 (*.f64 a eps)) 1)
3.4b	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 b (.f64 1/2 (.f64 eps eps)))))))
6.0b	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
6.6b	(.f64 b (.f64 1/2 (*.f64 eps eps)))

rewrite359.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

47.8b

Rules

34×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
15×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464`
13×	`pow1_binary64_1503` `*-un-lft-identity_binary64_1442`
10×	`associate-*r/_binary64_1384`
8×	`add-log-exp_binary64_1481` `associate-/r/_binary64_1388`
7×	`add-cube-cbrt_binary64_1477`
6×	`pow-prod-down_binary64_1513` `flip3--_binary64_1446` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
4×	`difference-of-squares_binary64_1411` `frac-times_binary64_1452`
3×	`associate-l_binary64_1383` `flip3-+_binary64_1445` `flip-+_binary64_1416`
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-*l/_binary64_1385`
1×	`associate-r_binary64_1382` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r*_binary64_1386`

Counts

4 → 92

Calls

4 calls:

32.0ms	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 b (.f64 1/2 (.f64 eps eps)))))))
14.0ms	(.f64 b (.f64 1/2 (*.f64 eps eps)))
9.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
8.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 3999 to 1763 computations (55.9% saved)

series2.1s (8.8%)

Error

1.1b

Counts

4 → 42

Calls

4 calls:

1.6s	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) 1)) (.f64 (-.f64 (exp.f64 (.f64 a eps)) 1) (.f64 b (+.f64 eps (.f64 b (.f64 1/2 (.f64 eps eps)))))))
197.0ms	(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)
128.0ms	(.f64 b (.f64 1/2 (*.f64 eps eps)))
101.0ms	(-.f64 (exp.f64 (*.f64 a eps)) 1)

Compiler

Compiled 5554 to 3489 computations (37.2% saved)

simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5152	3834

prune341.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	134	5	139

Error

1.0b

Counts

139 → 5

Compiler

Compiled 5050 to 2204 computations (56.4% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

13.1b

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

rewrite60.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_1442`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`times-frac_binary64_1448` `associate-/l*_binary64_1387`
3×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `distribute-lft-out_binary64_1393` `associate-/l/_binary64_1389`
1×	`pow1_binary64_1503` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/r*_binary64_1386`

Counts

1 → 25

Calls

1 calls:

11.0ms

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

Compiler

Compiled 342 to 92 computations (73.1% saved)

series198.0ms (0.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

180.0ms

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

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5070	408

prune49.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	37	5	42

Error

0.0b

Counts

42 → 5

Compiler

Compiled 411 to 168 computations (59.1% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite58.0ms (0.2%)

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:

27.0ms

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

Compiler

Compiled 267 to 210 computations (21.3% saved)

series112.0ms (0.5%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

101.0ms

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

Compiler

Compiled 162 to 171 computations (-5.6% saved)

simplify157.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4871	341
1	4871	341

prune35.0ms (0.1%)

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)

regimes1.1s (4.6%)

Accuracy

Total 0.4b remaining (87.9%)

Threshold costs 0.4b (87.9%)

Compiler

Compiled 9730 to 6208 computations (36.2% saved)

bsearch10.0ms (0%)

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

simplify29.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	137
1	57	137

Compiler

Compiled 176 to 102 computations (42% saved)

end0.0ms (0%)

sample13.7s (56.4%)

Algorithm

1×

intervals

Results

6.1s	4134×	body	2048	valid
1.7s	2339×	body	1024	valid
352.0ms	578×	body	1024	overflowed
344.0ms	364×	body	2048	overflowed
343.0ms	9644×	pre	128	true
325.0ms	725×	body	512	valid
110.0ms	256×	body	512	overflowed
72.0ms	556×	body	128	valid
69.0ms	232×	body	256	valid
44.0ms	160×	body	256	overflowed
36.0ms	283×	body	128	overflowed
35.0ms	14×	body	4096	valid
4.0ms	3×	body	2048	invalid

Compiler

Compiled 2545 to 1622 computations (36.3% saved)

Details

analyze3.9s (15.9%)

sample339.0ms (1.4%)

simplify41.0ms (0.2%)

prune6.0ms (0%)

localize36.0ms (0.1%)

rewrite290.0ms (1.2%)

series649.0ms (2.7%)

simplify120.0ms (0.5%)

prune298.0ms (1.2%)

localize38.0ms (0.2%)

rewrite359.0ms (1.5%)

series2.1s (8.8%)

simplify134.0ms (0.6%)

prune341.0ms (1.4%)

localize9.0ms (0%)

rewrite60.0ms (0.2%)

series198.0ms (0.8%)

simplify95.0ms (0.4%)

prune49.0ms (0.2%)

localize9.0ms (0%)

rewrite58.0ms (0.2%)

series112.0ms (0.5%)

simplify157.0ms (0.6%)

prune35.0ms (0.1%)

regimes1.1s (4.6%)

bsearch10.0ms (0%)

simplify29.0ms (0.1%)

end0.0ms (0%)

sample13.7s (56.4%)

Profiling