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
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample12.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify236.0ms (14%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	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 29 to 24 computations (17.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_100` `associate-r_binary64_18`
6×	`add-exp-log_binary64_116`
5×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `prod-exp_binary64_127`
2×	`sqr-pow_binary64_50`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `unpow3_binary64_144` `pow1_binary64_139`

Counts

1 → 31

Calls

1 calls:

6.0ms

(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series27.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify84.0ms (5%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4921	305
1	4921	305

prune34.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

Compiler

Compiled 487 to 369 computations (24.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 4647935950575487/36028797018963968 (.f64 (*.f64 x x) x))
0.1b	(.f64 (.f64 x x) x)

rewrite17.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64_139`
19×	`add-cbrt-cube_binary64_114`
16×	`add-exp-log_binary64_116`
9×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
6×	`pow-prod-up_binary64_148` `pow-plus_binary64_141`
5×	`add-sqr-sqrt_binary64_100`
4×	`associate-l_binary64_19` `add-cube-cbrt_binary64_113` `associate-r_binary64_18` `*-un-lft-identity_binary64_78`
2×	`pow2_binary64_159` `*-commutative_binary64_9` `add-log-exp_binary64_117` `pow-sqr_binary64_51`
1×	`rem-3cbrt-lft_binary64_103` `unswap-sqr_binary64_46` `pow3_binary64_161`

Counts

2 → 50

Calls

2 calls:

8.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (*.f64 x x) x))
6.0ms	(.f64 (.f64 x x) x)

series48.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (*.f64 x x) x))
22.0ms	(.f64 (.f64 x x) x)

simplify51.0ms (3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5836	318

prune41.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	56	4	60

Merged error: 0b

Counts

60 → 4

Compiler

Compiled 669 to 490 computations (26.8% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))
0.2b	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

rewrite20.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_100`
18×	`associate-l_binary64_19`
17×	`add-exp-log_binary64_116`
10×	`sqrt-prod_binary64_94` `prod-exp_binary64_127`
9×	`add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`unswap-sqr_binary64_46`
7×	`associate-r_binary64_18`
5×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
4×	`cbrt-unprod_binary64_111` `pow1_binary64_139`
3×	`sqr-pow_binary64_50`
2×	`*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `add-log-exp_binary64_117`
1×	`cube-mult_binary64_108` `pow-prod-down_binary64_149` `unpow3_binary64_144`

Counts

2 → 60

Calls

2 calls:

8.0ms	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))
7.0ms	(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

series96.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))
39.0ms	(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

simplify76.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4915	751
1	4915	751

prune66.0ms (3.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Merged error: 0b

Counts

70 → 4

Compiler

Compiled 1096 to 899 computations (18% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))) (cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
29.6b	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
29.6b	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
29.6b	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

rewrite23.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_139`
10×	`add-sqr-sqrt_binary64_100`
9×	`pow1/3_binary64_160`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`cbrt-prod_binary64_109`
6×	`add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-log-exp_binary64_117` `swap-sqr_binary64_45` `associate-r_binary64_18`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `pow-prod-down_binary64_149`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46` `pow-plus_binary64_141`

Counts

4 → 58

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))) (cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
3.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
3.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
3.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

series113.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (cbrt.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))) (cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
24.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
24.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
22.0ms	(cbrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

simplify72.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5101	656

prune97.0ms (5.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	70	4	74

Merged error: 0b

Counts

74 → 4

Compiler

Compiled 1697 to 1423 computations (16.1% saved)

regimes34.0ms (2%)

Compiler: Compiled 248 to 206 computations (16.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample500.0ms (29.5%)

Algorithm

1×

intervals

Results

236.0ms

8000×

body

128

valid

Compiler

Compiled 133 to 112 computations (15.8% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.7%)

simplify236.0ms (14%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite8.0ms (0.5%)

series27.0ms (1.6%)

simplify84.0ms (5%)

prune34.0ms (2%)

localize6.0ms (0.4%)

rewrite17.0ms (1%)

series48.0ms (2.9%)

simplify51.0ms (3%)

prune41.0ms (2.4%)

localize8.0ms (0.5%)

rewrite20.0ms (1.2%)

series96.0ms (5.7%)

simplify76.0ms (4.5%)

prune66.0ms (3.9%)

localize9.0ms (0.5%)

rewrite23.0ms (1.3%)

series113.0ms (6.7%)

simplify72.0ms (4.2%)

prune97.0ms (5.7%)

regimes34.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample500.0ms (29.5%)

Profiling