Details

analyze149.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample44.0ms (1%)

Algorithm

1×

intervals

Results

20.0ms	130×	body	1024	valid
5.0ms	69×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	14×	body	2048	valid
1.0ms	24×	body	256	valid
0.0ms	19×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

prune2.0ms (0%)

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

Error

58.2b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.6b	(-.f64 (exp.f64 x) 1)

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

58.2b

Rules

6×	`add-sqr-sqrt_binary64_1464`
5×	`*-un-lft-identity_binary64_1442`
3×	`add-log-exp_binary64_1481` `cancel-sign-sub-inv_binary64_1408`
2×	`add-cube-cbrt_binary64_1477` `difference-of-squares_binary64_1411`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`

Counts

1 → 18

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 185 to 119 computations (35.7% saved)

series30.0ms (0.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

16.0ms

(-.f64 (exp.f64 x) 1)

Compiler

Compiled 104 to 86 computations (17.3% saved)

simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4922	232
1	4922	232

prune24.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	2	25

Error

0.0b

Counts

25 → 2

Compiler

Compiled 215 to 135 computations (37.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.4b	(*.f64 x 1/24)
0.4b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))

rewrite139.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_1464`
10×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481`
4×	`associate-*r/_binary64_1384`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `flip3-+_binary64_1445` `flip-+_binary64_1416` `*-commutative_binary64_1373`
2×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 73

Calls

4 calls:

9.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1650 to 1164 computations (29.5% saved)

series201.0ms (4.4%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

65.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
52.0ms	(+.f64 1/6 (*.f64 x 1/24))
39.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
15.0ms	(*.f64 x 1/24)

Compiler

Compiled 734 to 531 computations (27.7% saved)

simplify135.0ms (3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4884	1083
1	4884	1083

prune100.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Error

0.0b

Counts

95 → 2

Compiler

Compiled 1793 to 1242 computations (30.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
0.0b	(pow.f64 (exp.f64 x) 2)
4.5b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite180.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

53×	`*-un-lft-identity_binary64_1442`
33×	`add-sqr-sqrt_binary64_1464`
32×	`times-frac_binary64_1448`
24×	`difference-of-sqr--1_binary64_1413`
21×	`add-cube-cbrt_binary64_1477`
16×	`distribute-lft-out_binary64_1393`
9×	`unpow-prod-down_binary64_1521`
8×	`add-log-exp_binary64_1481` `associate-/l*_binary64_1387`
7×	`unpow2_binary64_1507` `sqr-pow_binary64_1414`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
5×	`pow1_binary64_1503`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-pow_binary64_1514` `associate-/r*_binary64_1386`
3×	`pow-unpow_binary64_1519` `exp-prod_binary64_1494`
2×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

4 → 109

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
4.0ms	(+.f64 (exp.f64 x) 1)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2200 to 1505 computations (31.6% saved)

series135.0ms (3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

51.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
27.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
23.0ms	(pow.f64 (exp.f64 x) 2)
18.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 716 to 570 computations (20.4% saved)

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5379	2071

prune123.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Error

0.0b

Counts

135 → 3

Compiler

Compiled 2094 to 1355 computations (35.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 2)
4.5b	(-.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (.f64 -1 -1))

rewrite169.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
12×	`pow-pow_binary64_1514`
9×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519` `exp-prod_binary64_1494`
7×	`pow1_binary64_1503`
6×	`add-log-exp_binary64_1481`
4×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow2_binary64_1507` `sqr-pow_binary64_1414`
1×	`diff-log_binary64_1534` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `cancel-sign-sub-inv_binary64_1408`

Counts

4 → 76

Calls

4 calls:

7.0ms	(-.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (.f64 -1 -1))
3.0ms	(pow.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) 2)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 2366 to 1625 computations (31.3% saved)

series179.0ms (3.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

68.0ms	(-.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2)) (.f64 -1 -1))
30.0ms	(pow.f64 (exp.f64 x) 2)
26.0ms	(pow.f64 (exp.f64 x) 2)
24.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1458 to 1112 computations (23.7% saved)

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5199	809

prune151.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	100	3	103

Error

0.0b

Counts

103 → 3

Compiler

Compiled 2683 to 1787 computations (33.4% saved)

regimes208.0ms (4.6%)

Accuracy

Total 0.3b remaining (96.2%)

Threshold costs 0.3b (96.2%)

Compiler

Compiled 2256 to 1771 computations (21.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample2.2s (49.1%)

Algorithm

1×

intervals

Results

670.0ms	3965×	body	1024	valid
169.0ms	2056×	body	512	valid
108.0ms	8001×	pre	128	true
73.0ms	431×	body	2048	valid
48.0ms	966×	body	256	valid
14.0ms	582×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 597 to 467 computations (21.8% saved)

Details

analyze149.0ms (3.3%)

sample44.0ms (1%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize3.0ms (0.1%)

rewrite28.0ms (0.6%)

series30.0ms (0.7%)

simplify102.0ms (2.3%)

prune24.0ms (0.5%)

localize11.0ms (0.2%)

rewrite139.0ms (3.1%)

series201.0ms (4.4%)

simplify135.0ms (3%)

prune100.0ms (2.2%)

localize13.0ms (0.3%)

rewrite180.0ms (4%)

series135.0ms (3%)

simplify88.0ms (1.9%)

prune123.0ms (2.7%)

localize12.0ms (0.3%)

rewrite169.0ms (3.7%)

series179.0ms (3.9%)

simplify72.0ms (1.6%)

prune151.0ms (3.3%)

regimes208.0ms (4.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (49.1%)

Profiling