Details

analyze226.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample102.0ms (1.5%)

Algorithm

1×

intervals

Results

70.0ms	128×	body	2048	valid
17.0ms	67×	body	1024	valid
4.0ms	31×	body	512	valid
2.0ms	24×	body	256	valid
0.0ms	6×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4809	13
1	4809	13

prune4.0ms (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

31.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(-.f64 (exp.f64 x) 2)
4.9b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite66.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

31.6b

Rules

11×	`*-un-lft-identity_binary64_1442`
9×	`add-log-exp_binary64_1481`
6×	`add-sqr-sqrt_binary64_1464` `cancel-sign-sub-inv_binary64_1408`
4×	`add-cube-cbrt_binary64_1477` `frac-add_binary64_1450` `associate-+l+_binary64_1375`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`diff-log_binary64_1534` `sum-log_binary64_1533` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `neg-sub0_binary64_1437` `exp-diff_binary64_1490` `exp-neg_binary64_1489` `distribute-lft-out_binary64_1393` `distribute-lft-out--_binary64_1394` `sub-neg_binary64_1435`
1×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l-_binary64_1377` `+-commutative_binary64_1372` `difference-of-squares_binary64_1411`

Counts

2 → 39

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 663 to 349 computations (47.4% saved)

series56.0ms (0.8%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

30.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
15.0ms	(-.f64 (exp.f64 x) 2)

Compiler

Compiled 283 to 221 computations (21.9% saved)

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4844	726
1	4844	726

prune43.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Error

0.0b

Counts

52 → 2

Compiler

Compiled 668 to 338 computations (49.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite142.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_1464`
14×	`add-exp-log_binary64_1480` `associate-r_binary64_1382`
11×	`add-log-exp_binary64_1481`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`add-cbrt-cube_binary64_1478` `unpow-prod-down_binary64_1521`
6×	`prod-exp_binary64_1491` `unswap-sqr_binary64_1410` `associate-l_binary64_1383`
4×	`pow1_binary64_1503` `sqr-pow_binary64_1414` `sum-log_binary64_1533`
2×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`
1×	`associate-+r+_binary64_1374`

Counts

4 → 74

Calls

4 calls:

9.0ms	(*.f64 1/12 (pow.f64 x 4))
7.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
7.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
5.0ms	(*.f64 1/360 (pow.f64 x 6))

Compiler

Compiled 1750 to 1260 computations (28% saved)

series452.0ms (6.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

224.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))
131.0ms	(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
43.0ms	(*.f64 1/12 (pow.f64 x 4))
41.0ms	(*.f64 1/360 (pow.f64 x 6))

Compiler

Compiled 682 to 534 computations (21.7% saved)

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5040	1349

prune122.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	94	3	97

Error

0.0b

Counts

97 → 3

Compiler

Compiled 1827 to 1293 computations (29.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
0.1b	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
21.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))

rewrite232.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_1464`
16×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
15×	`add-exp-log_binary64_1480`
14×	`unpow-prod-down_binary64_1521` `associate-r_binary64_1382`
12×	`cbrt-prod_binary64_1473`
9×	`add-cbrt-cube_binary64_1478`
6×	`cube-prod_binary64_1470` `sqr-pow_binary64_1414` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410` `associate-l_binary64_1383`
5×	`pow1_binary64_1503`
4×	`add-log-exp_binary64_1481` `cube-div_binary64_1471`
3×	`pow-unpow_binary64_1519` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510`
2×	`flip3-+_binary64_1445` `cbrt-div_binary64_1474` `flip-+_binary64_1416` `unpow3_binary64_1508` `cube-mult_binary64_1472` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`
1×	`pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466` `pow-pow_binary64_1514` `rem-cube-cbrt_binary64_1465`

Counts

4 → 98

Calls

4 calls:

16.0ms	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
15.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))
5.0ms	(*.f64 1/12 (pow.f64 x 4))
5.0ms	(*.f64 1/360 (pow.f64 x 6))

Compiler

Compiled 2997 to 2224 computations (25.8% saved)

series380.0ms (5.5%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

179.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3))
103.0ms	(pow.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x))) 3)
44.0ms	(*.f64 1/360 (pow.f64 x 6))
30.0ms	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 891 to 746 computations (16.3% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5059	2541

prune220.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Error

0.0b

Counts

128 → 3

Compiler

Compiled 2890 to 2124 computations (26.5% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.0b	(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64_1442`
6×	`add-log-exp_binary64_1481`
4×	`add-sqr-sqrt_binary64_1464`
3×	`cancel-sign-sub-inv_binary64_1408`
2×	`diff-log_binary64_1534` `add-cube-cbrt_binary64_1477` `distribute-lft-out--_binary64_1394`
1×	`sum-log_binary64_1533` `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-squares_binary64_1411` `distribute-lft-out_binary64_1393` `associate--l+_binary64_1379`

Counts

1 → 19

Calls

1 calls:

18.0ms

(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 301 to 126 computations (58.1% saved)

series33.0ms (0.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

28.0ms

(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 147 to 123 computations (16.3% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5024	398

prune18.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	25	3	28

Error

Counts

28 → 3

Compiler

Compiled 314 to 136 computations (56.7% saved)

regimes122.0ms (1.8%)

Accuracy

Total 0.6b remaining (97%)

Threshold costs 0.6b (97%)

Compiler

Compiled 1234 to 873 computations (29.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample4.2s (60.3%)

Algorithm

1×

intervals

Results

2.5s	4122×	body	2048	valid
531.0ms	1995×	body	1024	valid
142.0ms	992×	body	512	valid
43.0ms	533×	body	256	valid
15.0ms	358×	body	128	valid

Compiler

Compiled 590 to 421 computations (28.6% saved)

Details

analyze226.0ms (3.2%)

sample102.0ms (1.5%)

simplify112.0ms (1.6%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite66.0ms (0.9%)

series56.0ms (0.8%)

simplify87.0ms (1.2%)

prune43.0ms (0.6%)

localize19.0ms (0.3%)

rewrite142.0ms (2%)

series452.0ms (6.5%)

simplify79.0ms (1.1%)

prune122.0ms (1.8%)

localize12.0ms (0.2%)

rewrite232.0ms (3.3%)

series380.0ms (5.5%)

simplify75.0ms (1.1%)

prune220.0ms (3.2%)

localize11.0ms (0.2%)

rewrite46.0ms (0.7%)

series33.0ms (0.5%)

simplify93.0ms (1.3%)

prune18.0ms (0.3%)

regimes122.0ms (1.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample4.2s (60.3%)

Profiling