Details

analyze4.0ms (0.2%)

Algorithm

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
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify69.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	618	13
1	618	13

prune4.0ms (0.2%)

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 12 (.f64 x 9)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1562`
3×	`add-exp-log_binary64_1541` `associate-l_binary64_1637` `pow1_binary64_1519` `associate-r_binary64_1636` `add-cube-cbrt_binary64_1548` `add-cbrt-cube_binary64_1549` `*-un-lft-identity_binary64_1577`
2×	`sub-neg_binary64_1581` `associate-*r/_binary64_1638`
1×	`*-commutative_binary64_1645` `prod-exp_binary64_1524` `pow-prod-down_binary64_1500` `flip--_binary64_1603` `distribute-lft-in_binary64_1619` `add-log-exp_binary64_1542` `distribute-rgt-in_binary64_1620` `unswap-sqr_binary64_1605` `flip3--_binary64_1576` `cbrt-unprod_binary64_1546`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 12 (*.f64 x 9)))

series89.0ms (3.5%)

Counts

1 → 3

Calls

1 calls:

89.0ms

(*.f64 x (-.f64 12 (*.f64 x 9)))

simplify99.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4989	310
1	4989	310

prune30.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

Compiler

Compiled 411 to 327 computations (20.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.1b	(.f64 (.f64 x 3) x)

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_1541` `pow1_binary64_1519` `add-cbrt-cube_binary64_1549`
8×	`add-sqr-sqrt_binary64_1562` `*-un-lft-identity_binary64_1577`
7×	`associate-r_binary64_1636`
6×	`add-cube-cbrt_binary64_1548`
5×	`add-log-exp_binary64_1542`
4×	`associate-l_binary64_1637` `prod-exp_binary64_1524` `pow-prod-down_binary64_1500` `cbrt-unprod_binary64_1546`
2×	`-commutative_binary64_1645` `associate-r/_binary64_1638`
1×	`sub-neg_binary64_1581` `flip--_binary64_1603` `flip3-+_binary64_1575` `distribute-lft-in_binary64_1619` `distribute-rgt-in_binary64_1620` `unswap-sqr_binary64_1605` `flip-+_binary64_1602` `flip3--_binary64_1576` `distribute-lft-out_binary64_1621` `diff-log_binary64_1488`

Counts

3 → 52

Calls

3 calls:

14.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
7.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
6.0ms	(.f64 (.f64 x 3) x)

series164.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
42.0ms	(.f64 (.f64 x 3) x)
25.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

simplify133.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4926	841
1	4926	841

prune72.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	59	6	65

Merged error: 0b

Counts

65 → 6

Compiler

Compiled 1146 to 929 computations (18.9% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 (.f64 x 3) -4))
0.1b	(.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))
0.1b	(.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))
0.8b	(.f64 (sqrt.f64 (.f64 3 (+.f64 1 (.f64 x (+.f64 (.f64 x 3) -4))))) (sqrt.f64 (.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))))

rewrite45.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`pow1_binary64_1519`
28×	`sqrt-pow1_binary64_1558`
23×	`pow-prod-down_binary64_1500`
22×	`add-sqr-sqrt_binary64_1562`
20×	`associate-*r/_binary64_1638`
14×	`add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
13×	`associate-l_binary64_1637` `associate-r_binary64_1636`
12×	`add-exp-log_binary64_1541` `sqrt-div_binary64_1557` `add-cbrt-cube_binary64_1549`
10×	`pow1/2_binary64_1509` `pow-prod-up_binary64_1499`
9×	`flip3-+_binary64_1575` `flip-+_binary64_1602`
6×	`pow-sqr_binary64_1610`
4×	`swap-sqr_binary64_1604` `*-commutative_binary64_1645` `prod-exp_binary64_1524` `add-log-exp_binary64_1542` `frac-times_binary64_1569` `sqrt-prod_binary64_1556` `unswap-sqr_binary64_1605` `cbrt-unprod_binary64_1546`
3×	`distribute-lft-in_binary64_1619` `distribute-rgt-in_binary64_1620`
2×	`associate-*l/_binary64_1639`
1×	`rem-square-sqrt_binary64_1564` `pow-plus_binary64_1514` `sqrt-unprod_binary64_1560` `pow2_binary64_1510`

Counts

4 → 123

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (.f64 3 (+.f64 1 (.f64 x (+.f64 (.f64 x 3) -4))))) (sqrt.f64 (.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))))
9.0ms	(.f64 x (+.f64 (.f64 x 3) -4))
7.0ms	(.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))
7.0ms	(.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))

series198.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 x (+.f64 (.f64 x 3) -4))
70.0ms	(.f64 (sqrt.f64 (.f64 3 (+.f64 1 (.f64 x (+.f64 (.f64 x 3) -4))))) (sqrt.f64 (.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))))
27.0ms	(.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))
27.0ms	(.f64 3 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))))

simplify183.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4932	2223
1	4932	2223

prune198.0ms (7.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Merged error: 0b

Counts

141 → 6

Compiler

Compiled 3619 to 3021 computations (16.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 12 (*.f64 x 9))
0.1b	(.f64 x (-.f64 144 (.f64 x (*.f64 x 81))))
0.2b	(.f64 x (.f64 x 81))
6.7b	(/.f64 (.f64 x (-.f64 144 (.f64 x (.f64 x 81)))) (+.f64 12 (.f64 x 9)))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_1541` `add-cbrt-cube_binary64_1549`
11×	`add-sqr-sqrt_binary64_1562` `pow1_binary64_1519`
9×	`add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
6×	`associate-l_binary64_1637` `add-log-exp_binary64_1542`
5×	`prod-exp_binary64_1524` `cbrt-unprod_binary64_1546`
4×	`pow-prod-down_binary64_1500` `associate-r_binary64_1636` `associate-*r/_binary64_1638`
3×	`times-frac_binary64_1572` `associate-/r*_binary64_1640`
2×	`sub-neg_binary64_1581` `*-commutative_binary64_1645` `associate-/r/_binary64_1642` `div-exp_binary64_1526` `flip--_binary64_1603` `flip3-+_binary64_1575` `cbrt-undiv_binary64_1547` `flip-+_binary64_1602` `flip3--_binary64_1576` `associate-/l/_binary64_1643`
1×	`sum-log_binary64_1487` `clear-num_binary64_1580` `distribute-lft-in_binary64_1619` `distribute-rgt-in_binary64_1620` `unswap-sqr_binary64_1605` `associate-/l*_binary64_1641` `frac-2neg_binary64_1570` `div-inv_binary64_1578` `+-commutative_binary64_1644`

Counts

4 → 76

Calls

4 calls:

11.0ms	(/.f64 (.f64 x (-.f64 144 (.f64 x (.f64 x 81)))) (+.f64 12 (.f64 x 9)))
7.0ms	(.f64 x (-.f64 144 (.f64 x (*.f64 x 81))))
6.0ms	(.f64 x (.f64 x 81))
4.0ms	(+.f64 12 (*.f64 x 9))

series388.0ms (15.4%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(/.f64 (.f64 x (-.f64 144 (.f64 x (.f64 x 81)))) (+.f64 12 (.f64 x 9)))
121.0ms	(.f64 x (-.f64 144 (.f64 x (*.f64 x 81))))
46.0ms	(+.f64 12 (*.f64 x 9))
43.0ms	(.f64 x (.f64 x 81))

simplify103.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4935	1319
1	4935	1319

prune95.0ms (3.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	88	6	94

Merged error: 0b

Counts

94 → 6

Compiler

Compiled 1890 to 1472 computations (22.1% saved)

regimes15.0ms (0.6%)

Compiler: Compiled 121 to 104 computations (14% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	143	13
1	143	13

end0.0ms (0%)

sample511.0ms (20.3%)

Algorithm

1×

intervals

Results

253.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Compiler

Compiled 153 to 132 computations (13.7% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.5%)

simplify69.0ms (2.7%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

rewrite8.0ms (0.3%)

series89.0ms (3.5%)

simplify99.0ms (3.9%)

prune30.0ms (1.2%)

localize8.0ms (0.3%)

rewrite28.0ms (1.1%)

series164.0ms (6.5%)

simplify133.0ms (5.3%)

prune72.0ms (2.8%)

localize10.0ms (0.4%)

rewrite45.0ms (1.8%)

series198.0ms (7.9%)

simplify183.0ms (7.2%)

prune198.0ms (7.9%)

localize10.0ms (0.4%)

rewrite30.0ms (1.2%)

series388.0ms (15.4%)

simplify103.0ms (4.1%)

prune95.0ms (3.8%)

regimes15.0ms (0.6%)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

end0.0ms (0%)

sample511.0ms (20.3%)

Profiling