Details

analyze1.5s (23.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample49.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	80	valid
7.0ms	133×	body	80	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4954	25
1	4954	25

prune5.0ms (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

Merged error: 4.4b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 t a))
0.2b	(.f64 (.f64 x 9) y)
1.5b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.3b	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a))) c)

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1562` `add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
18×	`add-exp-log_binary64_1541` `times-frac_binary64_1572` `add-cbrt-cube_binary64_1549`
14×	`pow1_binary64_1519`
6×	`prod-exp_binary64_1524` `pow-prod-down_binary64_1500` `associate-/r_binary64_1640` `associate-/l_binary64_1641` `cbrt-unprod_binary64_1546`
4×	`associate-l_binary64_1637` `associate-r_binary64_1636` `add-log-exp_binary64_1542` `associate-/l/_binary64_1643`
2×	`*-commutative_binary64_1645` `clear-num_binary64_1580` `div-exp_binary64_1526` `cbrt-undiv_binary64_1547` `frac-2neg_binary64_1570` `div-inv_binary64_1578`
1×	`div-sub_binary64_1571` `flip--_binary64_1603` `flip3-+_binary64_1575` `flip-+_binary64_1602` `flip3--_binary64_1576`

Counts

4 → 95

Calls

4 calls:

20.0ms	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a))) c)
10.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
6.0ms	(.f64 (.f64 x 9) y)
6.0ms	(.f64 4 (.f64 t a))

series463.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

293.0ms	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a))) c)
104.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
36.0ms	(.f64 (.f64 x 9) y)
30.0ms	(.f64 4 (.f64 t a))

simplify130.0ms (2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4959	2167
1	4959	2167

prune160.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	9	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	99	10	109

Merged error: 4.2b

Counts

109 → 10

Compiler

Compiled 2864 to 1690 computations (41% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
4.3b	(/.f64 b (*.f64 z c))
4.7b	(/.f64 (.f64 4 (.f64 t a)) c)
6.7b	(/.f64 (.f64 x y) (.f64 z c))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-exp-log_binary64_1541` `add-cbrt-cube_binary64_1549`
17×	`prod-exp_binary64_1524` `cbrt-unprod_binary64_1546`
13×	`div-exp_binary64_1526` `cbrt-undiv_binary64_1547`
12×	`add-sqr-sqrt_binary64_1562`
10×	`add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
8×	`times-frac_binary64_1572`
6×	`pow1_binary64_1519`
5×	`associate-r_binary64_1636` `associate-/r_binary64_1640` `associate-/l_binary64_1641`
4×	`add-log-exp_binary64_1542` `div-inv_binary64_1578`
3×	`associate-l_binary64_1637` `clear-num_binary64_1580` `frac-2neg_binary64_1570`
1×	`-commutative_binary64_1645` `pow-prod-down_binary64_1500` `unswap-sqr_binary64_1605` `associate-r/_binary64_1638`

Counts

4 → 94

Calls

4 calls:

10.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
8.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
8.0ms	(/.f64 (.f64 x y) (.f64 z c))
5.0ms	(/.f64 b (*.f64 z c))

series223.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
59.0ms	(/.f64 (.f64 x y) (.f64 z c))
45.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
43.0ms	(/.f64 b (*.f64 z c))

simplify153.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4971	1284
1	4971	1284

prune129.0ms (2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	100	6	106
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	102	14	116

Merged error: 2.0b

Counts

116 → 14

Compiler

Compiled 3170 to 1290 computations (59.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x y) 9)
4.3b	(/.f64 b (*.f64 z c))
4.7b	(/.f64 (.f64 4 (.f64 t a)) c)
6.7b	(/.f64 (.f64 (.f64 x y) 9) (*.f64 z c))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-exp-log_binary64_1541` `add-cbrt-cube_binary64_1549`
16×	`prod-exp_binary64_1524` `cbrt-unprod_binary64_1546`
11×	`div-exp_binary64_1526` `cbrt-undiv_binary64_1547`
9×	`add-sqr-sqrt_binary64_1562` `pow1_binary64_1519` `add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
7×	`times-frac_binary64_1572`
5×	`associate-/r_binary64_1640` `associate-/l_binary64_1641`
4×	`add-log-exp_binary64_1542`
3×	`clear-num_binary64_1580` `pow-prod-down_binary64_1500` `associate-r_binary64_1636` `frac-2neg_binary64_1570` `div-inv_binary64_1578`
1×	`associate-l_binary64_1637` `*-commutative_binary64_1645`

Counts

4 → 87

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 x y) 9) (*.f64 z c))
8.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
7.0ms	(.f64 (.f64 x y) 9)
6.0ms	(/.f64 b (*.f64 z c))

series192.0ms (3%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(/.f64 (.f64 (.f64 x y) 9) (*.f64 z c))
46.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
41.0ms	(/.f64 b (*.f64 z c))
30.0ms	(.f64 (.f64 x y) 9)

simplify163.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	5048	1123

prune120.0ms (1.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	100	13	113

Merged error: 2.0b

Counts

113 → 13

Compiler

Compiled 2930 to 1312 computations (55.2% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (/.f64 (.f64 z c) (.f64 9 (*.f64 x y))))
4.3b	(/.f64 b (*.f64 z c))
4.7b	(/.f64 (.f64 4 (.f64 t a)) c)
6.4b	(/.f64 (.f64 z c) (.f64 9 (*.f64 x y)))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`add-exp-log_binary64_1541`
68×	`add-cbrt-cube_binary64_1549`
43×	`div-exp_binary64_1526`
40×	`prod-exp_binary64_1524`
26×	`times-frac_binary64_1572`
24×	`cbrt-undiv_binary64_1547`
22×	`cbrt-unprod_binary64_1546`
18×	`add-sqr-sqrt_binary64_1562` `add-cube-cbrt_binary64_1548` `*-un-lft-identity_binary64_1577`
10×	`associate-/r*_binary64_1640`
8×	`associate-/l*_binary64_1641` `div-inv_binary64_1578`
7×	`1-exp_binary64_1537` `rec-exp_binary64_1525`
5×	`pow1_binary64_1519`
4×	`clear-num_binary64_1580` `add-log-exp_binary64_1542` `frac-2neg_binary64_1570`
1×	`associate-/r/_binary64_1642` `inv-pow_binary64_1495` `pow-flip_binary64_1503`

Counts

4 → 133

Calls

4 calls:

12.0ms	(/.f64 1 (/.f64 (.f64 z c) (.f64 9 (*.f64 x y))))
11.0ms	(/.f64 (.f64 z c) (.f64 9 (*.f64 x y)))
10.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
5.0ms	(/.f64 b (*.f64 z c))

series242.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(/.f64 1 (/.f64 (.f64 z c) (.f64 9 (*.f64 x y))))
77.0ms	(/.f64 (.f64 z c) (.f64 9 (*.f64 x y)))
43.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
33.0ms	(/.f64 b (*.f64 z c))

simplify178.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4962	2133
1	4962	2133

prune164.0ms (2.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	145	13	158

Merged error: 2.0b

Counts

158 → 13

Compiler

Compiled 4086 to 1746 computations (57.3% saved)

regimes485.0ms (7.5%)

Compiler: Compiled 4146 to 3614 computations (12.8% saved)

bsearch2.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	161	284
1	161	284

end0.0ms (0%)

sample1.8s (27.4%)

Algorithm

1×

intervals

Results

479.0ms	8000×	body	80	valid
291.0ms	4728×	body	80	invalid

Compiler

Compiled 799 to 567 computations (29% saved)

Details

analyze1.5s (23.3%)

sample49.0ms (0.8%)

simplify86.0ms (1.3%)

prune5.0ms (0.1%)

localize13.0ms (0.2%)

rewrite47.0ms (0.7%)

series463.0ms (7.2%)

simplify130.0ms (2%)

prune160.0ms (2.5%)

localize19.0ms (0.3%)

rewrite35.0ms (0.5%)

series223.0ms (3.5%)

simplify153.0ms (2.4%)

prune129.0ms (2%)

localize18.0ms (0.3%)

rewrite34.0ms (0.5%)

series192.0ms (3%)

simplify163.0ms (2.5%)

prune120.0ms (1.9%)

localize16.0ms (0.3%)

rewrite45.0ms (0.7%)

series242.0ms (3.8%)

simplify178.0ms (2.8%)

prune164.0ms (2.5%)

regimes485.0ms (7.5%)

bsearch2.0ms (0%)

simplify11.0ms (0.2%)

end0.0ms (0%)

sample1.8s (27.4%)

Profiling