Details

analyze398.0ms (14%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample27.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	81×	body	1024	valid
4.0ms	48×	body	512	valid
2.0ms	95×	body	128	valid
1.0ms	11×	body	2048	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

prune2.0ms (0.1%)

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

42.1b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.8b	(-.f64 (exp.f64 x) 1)

rewrite73.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

42.0b

Rules

35×	`add-sqr-sqrt_binary64_1464`
30×	`*-un-lft-identity_binary64_1442`
21×	`times-frac_binary64_1448`
15×	`add-cube-cbrt_binary64_1477`
10×	`difference-of-squares_binary64_1411`
7×	`associate-/r*_binary64_1386`
5×	`difference-of-sqr-1_binary64_1412` `distribute-lft-out--_binary64_1394`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
3×	`add-exp-log_binary64_1480` `cancel-sign-sub-inv_binary64_1408` `associate-/l*_binary64_1387`
2×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/r/_binary64_1388`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

2 → 63

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 977 to 489 computations (49.9% saved)

series76.0ms (2.7%)

Error

0.6b

Counts

2 → 12

Calls

2 calls:

46.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
17.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 252 to 184 computations (27% saved)

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5105	1195

prune63.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	5	76

Error

Counts

76 → 5

Compiler

Compiled 1035 to 526 computations (49.2% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 1/24 x))
0.0b	(.f64 (.f64 x x) (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 1/24 x)))))
0.3b	(.f64 x (+.f64 1/6 (.f64 1/24 x)))
0.4b	(*.f64 1/24 x)

rewrite110.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_1464`
13×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `associate-r*_binary64_1382`
7×	`associate-l_binary64_1383`
6×	`add-log-exp_binary64_1481`
5×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
4×	`associate-*r/_binary64_1384`
3×	`unswap-sqr_binary64_1410` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 74

Calls

4 calls:

8.0ms	(.f64 (.f64 x x) (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 1/24 x)))))
6.0ms	(.f64 x (+.f64 1/6 (.f64 1/24 x)))
4.0ms	(*.f64 1/24 x)
3.0ms	(+.f64 1/6 (*.f64 1/24 x))

Compiler

Compiled 1923 to 1198 computations (37.7% saved)

series146.0ms (5.1%)

Error

Counts

4 → 20

Calls

4 calls:

47.0ms	(.f64 x (+.f64 1/6 (.f64 1/24 x)))
33.0ms	(.f64 (.f64 x x) (+.f64 1/2 (.f64 x (+.f64 1/6 (.f64 1/24 x)))))
30.0ms	(+.f64 1/6 (*.f64 1/24 x))
18.0ms	(*.f64 1/24 x)

Compiler

Compiled 878 to 603 computations (31.3% saved)

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4986	1168
1	4986	1168

prune96.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Error

Counts

99 → 5

Compiler

Compiled 2106 to 1300 computations (38.3% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Error

Counts

5 → 5

Compiler

Compiled 30 to 25 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
2.8b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite65.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
14×	`add-cube-cbrt_binary64_1477`
10×	`difference-of-squares_binary64_1411`
6×	`add-exp-log_binary64_1480` `associate-/r*_binary64_1386`
5×	`distribute-lft-out--_binary64_1394`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
3×	`pow1_binary64_1503` `cancel-sign-sub-inv_binary64_1408` `associate-/l*_binary64_1387`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `div-exp_binary64_1493` `associate-/r/_binary64_1388`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

2 → 62

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 947 to 597 computations (37% saved)

series69.0ms (2.4%)

Error

Counts

2 → 12

Calls

2 calls:

41.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
20.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 250 to 219 computations (12.4% saved)

simplify84.0ms (3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4951	1118
1	4951	1118

prune51.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Error

Counts

79 → 5

Compiler

Compiled 917 to 587 computations (36% saved)

regimes133.0ms (4.7%)

Accuracy

Total 1.0b remaining (99.1%)

Threshold costs 1.0b (99.1%)

Compiler

Compiled 1322 to 962 computations (27.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	20	27

end0.0ms (0%)

sample1.3s (45%)

Algorithm

1×

intervals

Results

371.0ms	2649×	body	1024	valid
98.0ms	1282×	body	512	valid
69.0ms	3114×	body	128	valid
46.0ms	270×	body	2048	valid
33.0ms	685×	body	256	valid
0.0ms	2×	body	2048	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 388 to 288 computations (25.8% saved)

Details

analyze398.0ms (14%)

sample27.0ms (1%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite73.0ms (2.6%)

series76.0ms (2.7%)

simplify66.0ms (2.3%)

prune63.0ms (2.2%)

localize14.0ms (0.5%)

rewrite110.0ms (3.9%)

series146.0ms (5.1%)

simplify58.0ms (2%)

prune96.0ms (3.4%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite65.0ms (2.3%)

series69.0ms (2.4%)

simplify84.0ms (3%)

prune51.0ms (1.8%)

regimes133.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (45%)

Profiling