Details

analyze868.0ms (13.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify296.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (281.0ms)

Iter	Nodes	Cost
0	4902	16
1	4902	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 11.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
10.7b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1562` `add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
9×	`times-frac_binary64_1572`
4×	`add-exp-log_binary64_1541` `add-log-exp_binary64_1542` `add-cbrt-cube_binary64_1549`
3×	`flip--_binary64_1603` `associate-/r_binary64_1640` `associate-/l_binary64_1641` `flip3--_binary64_1576`
2×	`associate-/r/_binary64_1642` `pow1_binary64_1519` `associate-/l/_binary64_1643`
1×	`sub-neg_binary64_1581` `div-sub_binary64_1571` `clear-num_binary64_1580` `div-exp_binary64_1526` `cbrt-undiv_binary64_1547` `frac-2neg_binary64_1570` `div-inv_binary64_1578` `diff-log_binary64_1488`

Counts

2 → 43

Calls

2 calls:

8.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
4.0ms	(-.f64 x (*.f64 y z))

series218.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

164.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
53.0ms	(-.f64 x (*.f64 y z))

simplify112.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5311	964

prune58.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	39	10	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	11	50

Merged error: 10.6b

Counts

50 → 11

Compiler

Compiled 1101 to 278 computations (74.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.4b	(/.f64 1 (-.f64 t (*.f64 z a)))
10.3b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_1562`
20×	`times-frac_binary64_1572` `*-un-lft-identity_binary64_1577`
19×	`add-cube-cbrt_binary64_1548`
16×	`add-exp-log_binary64_1541`
15×	`associate-r_binary64_1636`
10×	`add-cbrt-cube_binary64_1549`
6×	`pow1_binary64_1519`
5×	`flip--_binary64_1603` `add-log-exp_binary64_1542` `flip3--_binary64_1576`
4×	`associate-/r/_binary64_1642` `prod-exp_binary64_1524` `div-exp_binary64_1526`
3×	`associate-l_binary64_1637` `associate-/r_binary64_1640` `unswap-sqr_binary64_1605` `associate-/l_binary64_1641`
2×	`1-exp_binary64_1537` `cbrt-undiv_binary64_1547` `rec-exp_binary64_1525` `frac-times_binary64_1569` `associate-*l/_binary64_1639` `cbrt-unprod_binary64_1546` `div-inv_binary64_1578`
1×	`sub-neg_binary64_1581` `-commutative_binary64_1645` `clear-num_binary64_1580` `pow-prod-down_binary64_1500` `inv-pow_binary64_1495` `un-div-inv_binary64_1579` `frac-2neg_binary64_1570` `associate-r/_binary64_1638` `diff-log_binary64_1488` `pow-flip_binary64_1503`

Counts

3 → 86

Calls

3 calls:

14.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
6.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
4.0ms	(-.f64 x (*.f64 y z))

series309.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

173.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
83.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
53.0ms	(-.f64 x (*.f64 y z))

simplify126.0ms (2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5757	1557

prune81.0ms (1.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	94	12	106

Merged error: 10.6b

Counts

106 → 12

Compiler

Compiled 1978 to 572 computations (71.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.1b	(/.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (-.f64 t (.f64 z a)) (cbrt.f64 (-.f64 x (*.f64 y z)))))
7.2b	(cbrt.f64 (-.f64 x (*.f64 y z)))
7.2b	(cbrt.f64 (-.f64 x (*.f64 y z)))
7.2b	(cbrt.f64 (-.f64 x (*.f64 y z)))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary64_1572`
33×	`add-sqr-sqrt_binary64_1562` `add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
27×	`cbrt-prod_binary64_1544`
24×	`associate-/r*_binary64_1640`
22×	`cbrt-div_binary64_1545`
16×	`add-exp-log_binary64_1541`
11×	`flip--_binary64_1603` `flip3--_binary64_1576`
10×	`add-cbrt-cube_binary64_1549`
8×	`associate-/l/_binary64_1643`
6×	`div-exp_binary64_1526` `cbrt-undiv_binary64_1547`
5×	`associate-/r/_binary64_1642`
4×	`pow1_binary64_1519` `add-log-exp_binary64_1542` `frac-times_binary64_1569`
3×	`pow1/3_binary64_1511` `div-inv_binary64_1578`
2×	`prod-exp_binary64_1524` `associate-r/_binary64_1638` `associate-l/_binary64_1639` `cbrt-unprod_binary64_1546`
1×	`clear-num_binary64_1580` `associate-/l*_binary64_1641` `frac-2neg_binary64_1570`

Counts

4 → 115

Calls

4 calls:

24.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (-.f64 t (.f64 z a)) (cbrt.f64 (-.f64 x (*.f64 y z)))))
4.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

series867.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
224.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
214.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
203.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (-.f64 t (.f64 z a)) (cbrt.f64 (-.f64 x (*.f64 y z)))))

simplify159.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4981	3825
1	4981	3825

prune138.0ms (2.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	127	12	139

Merged error: 10.6b

Counts

139 → 12

Compiler

Compiled 4393 to 782 computations (82.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.5b	(/.f64 (-.f64 x (.f64 y z)) (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a)))))
9.1b	(cbrt.f64 (-.f64 t (*.f64 a z)))
9.1b	(cbrt.f64 (-.f64 t (*.f64 z a)))
9.1b	(cbrt.f64 (-.f64 t (*.f64 z a)))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_1545`
10×	`flip--_binary64_1603` `flip3--_binary64_1576`
9×	`add-exp-log_binary64_1541` `cbrt-prod_binary64_1544` `add-sqr-sqrt_binary64_1562` `add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
8×	`associate-/r/_binary64_1642`
7×	`add-cbrt-cube_binary64_1549`
4×	`pow1_binary64_1519` `add-log-exp_binary64_1542` `frac-times_binary64_1569`
3×	`times-frac_binary64_1572` `pow1/3_binary64_1511` `associate-/l*_binary64_1641`
2×	`div-exp_binary64_1526` `cbrt-undiv_binary64_1547` `associate-/l/_binary64_1643` `associate-r/_binary64_1638` `associate-l/_binary64_1639`
1×	`div-sub_binary64_1571` `prod-exp_binary64_1524` `clear-num_binary64_1580` `associate-/r*_binary64_1640` `frac-2neg_binary64_1570` `cbrt-unprod_binary64_1546` `div-inv_binary64_1578`

Counts

4 → 71

Calls

4 calls:

15.0ms	(/.f64 (-.f64 x (.f64 y z)) (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a)))))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 a z)))

series1.6s (25.5%)

Counts

4 → 12

Calls

4 calls:

931.0ms	(/.f64 (-.f64 x (.f64 y z)) (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a)))))
230.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
228.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
222.0ms	(cbrt.f64 (-.f64 t (*.f64 a z)))

simplify137.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4931	1817
1	4931	1817

prune89.0ms (1.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	82	13	95

Merged error: 10.6b

Counts

95 → 13

Compiler

Compiled 2763 to 583 computations (78.9% saved)

regimes167.0ms (2.6%)

Compiler: Compiled 1766 to 1120 computations (36.6% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	57	16
1	57	16

end0.0ms (0%)

sample889.0ms (14.1%)

Algorithm

1×

intervals

Results

309.0ms	8000×	body	80	valid
34.0ms	726×	body	80	invalid

Compiler

Compiled 363 to 224 computations (38.3% saved)

Details

analyze868.0ms (13.7%)

sample22.0ms (0.4%)

simplify296.0ms (4.7%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite14.0ms (0.2%)

series218.0ms (3.4%)

simplify112.0ms (1.8%)

prune58.0ms (0.9%)

localize10.0ms (0.2%)

rewrite28.0ms (0.4%)

series309.0ms (4.9%)

simplify126.0ms (2%)

prune81.0ms (1.3%)

localize13.0ms (0.2%)

rewrite40.0ms (0.6%)

series867.0ms (13.7%)

simplify159.0ms (2.5%)

prune138.0ms (2.2%)

localize19.0ms (0.3%)

rewrite27.0ms (0.4%)

series1.6s (25.5%)

simplify137.0ms (2.2%)

prune89.0ms (1.4%)

regimes167.0ms (2.6%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample889.0ms (14.1%)

Profiling