Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	54×	body	1024	valid
5.0ms	154×	body	128	valid
4.0ms	33×	body	512	valid
1.0ms	13×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify219.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

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

25.5b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_1442`
24×	`add-sqr-sqrt_binary64_1464`
15×	`times-frac_binary64_1448`
13×	`add-cube-cbrt_binary64_1477`
7×	`add-log-exp_binary64_1481`
5×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `distribute-lft-out_binary64_1393`
4×	`associate-/r*_binary64_1386` `difference-of-squares_binary64_1411`
3×	`cancel-sign-sub-inv_binary64_1408` `associate-/l*_binary64_1387` `pow1_binary64_1503`
2×	`associate-/r/_binary64_1388` `difference-of-sqr-1_binary64_1412` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `flip3--_binary64_1446` `+-commutative_binary64_1372` `flip--_binary64_1417` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `distribute-lft-out--_binary64_1394` `div-exp_binary64_1493`

Counts

3 → 66

Calls

3 calls:

15.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series91.0ms (2%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
33.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
8.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify116.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5084	1373

prune129.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Error

Counts

76 → 2

Compiler

Compiled 1268 to 1149 computations (9.4% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
3.0b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite85.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_1464`
35×	`*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
17×	`add-cube-cbrt_binary64_1477`
11×	`log-pow_binary64_1531`
10×	`exp-prod_binary64_1494`
8×	`add-log-exp_binary64_1481` `difference-of-squares_binary64_1411`
7×	`log-prod_binary64_1528`
6×	`add-cbrt-cube_binary64_1478` `cancel-sign-sub-inv_binary64_1408` `add-exp-log_binary64_1480`
5×	`distribute-lft-out_binary64_1393` `pow1_binary64_1503`
4×	`associate-/r*_binary64_1386` `difference-of-sqr-1_binary64_1412` `exp-sum_binary64_1488`
3×	`associate-/l*_binary64_1387`
2×	`associate-/r/_binary64_1388` `sub-neg_binary64_1435` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out--_binary64_1394`
1×	`cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `rem-log-exp_binary64_1483` `flip3--_binary64_1446` `+-commutative_binary64_1372` `flip--_binary64_1417` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `exp-diff_binary64_1490` `log-div_binary64_1529` `div-exp_binary64_1493`

Counts

4 → 93

Calls

4 calls:

25.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
23.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
15.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series349.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))
80.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
29.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
13.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify163.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4963	1903
1	4963	1903

prune181.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1929 to 1762 computations (8.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
23.4b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1464`
19×	`associate-r_binary64_1382`
13×	`add-exp-log_binary64_1480`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`add-log-exp_binary64_1481` `unpow-prod-down_binary64_1521`
7×	`add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
6×	`associate-l_binary64_1383` `prod-exp_binary64_1491`
4×	`cube-prod_binary64_1470` `sqr-pow_binary64_1414`
3×	`pow1_binary64_1503`
2×	`cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `*-commutative_binary64_1373` `diff-log_binary64_1534` `pow-to-exp_binary64_1511`
1×	`associate--l+_binary64_1379` `cube-mult_binary64_1472` `cancel-sign-sub-inv_binary64_1408` `sum-log_binary64_1533` `sub-neg_binary64_1435` `flip3--_binary64_1446` `flip--_binary64_1417` `unpow3_binary64_1508`

Counts

3 → 70

Calls

3 calls:

10.0ms	(*.f64 2/15 (pow.f64 x 5))
9.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

series126.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(*.f64 2/15 (pow.f64 x 5))
37.0ms	(*.f64 1/3 (pow.f64 x 3))
35.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4986	1003
1	4986	1003

prune126.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Error

Counts

81 → 2

Compiler

Compiled 1401 to 1082 computations (22.8% saved)

regimes706.0ms (15.9%)

Accuracy

Total 0.2b remaining (98.4%)

Threshold costs 0.2b (98.4%)

Compiler

Compiled 2866 to 2899 computations (-1.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	116
1	72	116

end0.0ms (0%)

sample1.9s (43.2%)

Algorithm

1×

intervals

Results

613.0ms	1986×	body	1024	valid
224.0ms	4290×	body	128	valid
179.0ms	980×	body	512	valid
77.0ms	213×	body	2048	valid
67.0ms	531×	body	256	valid

Compiler

Compiled 351 to 346 computations (1.4% saved)

Details

analyze2.0ms (0%)

sample27.0ms (0.6%)

simplify219.0ms (4.9%)

prune4.0ms (0.1%)

localize19.0ms (0.4%)

rewrite29.0ms (0.6%)

series91.0ms (2%)

simplify116.0ms (2.6%)

prune129.0ms (2.9%)

localize19.0ms (0.4%)

rewrite85.0ms (1.9%)

series349.0ms (7.9%)

simplify163.0ms (3.7%)

prune181.0ms (4.1%)

localize9.0ms (0.2%)

rewrite36.0ms (0.8%)

series126.0ms (2.8%)

simplify79.0ms (1.8%)

prune126.0ms (2.8%)

regimes706.0ms (15.9%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (43.2%)

Profiling