Details

analyze338.0ms (7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	239×	body	128	valid
1.0ms	8×	body	512	valid
0.0ms	5×	body	1024	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify173.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_3820`
3×	`sum-log_binary64_3872` `*-un-lft-identity_binary64_3784`
1×	`flip-+_binary64_3758` `add-exp-log_binary64_3819` `add-sqr-sqrt_binary64_3805` `+-commutative_binary64_3716` `flip3-+_binary64_3787` `distribute-lft-out_binary64_3737` `pow1_binary64_3842` `add-cbrt-cube_binary64_3817` `add-cube-cbrt_binary64_3816` `associate-+r+_binary64_3718`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series38.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5209	299

prune22.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

Compiler

Compiled 320 to 179 computations (44.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
0.0b	(+.f64 x (*.f64 (+.f64 x y) 2))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3820`
4×	`sum-log_binary64_3872` `*-un-lft-identity_binary64_3784`
2×	`flip-+_binary64_3758` `add-exp-log_binary64_3819` `add-sqr-sqrt_binary64_3805` `+-commutative_binary64_3716` `flip3-+_binary64_3787` `pow1_binary64_3842` `add-cbrt-cube_binary64_3817` `add-cube-cbrt_binary64_3816`
1×	`distribute-lft-out_binary64_3737` `associate-+l+_binary64_3719`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
4.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

series90.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))
40.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5813	511

prune30.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

Compiler

Compiled 529 to 291 computations (45% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3812`
23×	`add-sqr-sqrt_binary64_3805`
18×	`cbrt-div_binary64_3813`
15×	`add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`
11×	`pow1_binary64_3842`
9×	`flip-+_binary64_3758` `pow1/3_binary64_3863` `flip3-+_binary64_3787`
6×	`add-exp-log_binary64_3819` `associate-r_binary64_3726` `associate-l_binary64_3727` `swap-sqr_binary64_3751`
4×	`frac-times_binary64_3794` `unswap-sqr_binary64_3752` `add-log-exp_binary64_3820` `add-cbrt-cube_binary64_3817`
2×	`pow-prod-up_binary64_3851` `associate-r/_binary64_3728` `pow-prod-down_binary64_3852` `pow-sqr_binary64_3757` `associate-l/_binary64_3729`
1×	`prod-exp_binary64_3830` `pow2_binary64_3862` `*-commutative_binary64_3717` `pow-plus_binary64_3844` `cbrt-unprod_binary64_3814`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series1.2s (24.8%)

Counts

4 → 12

Calls

4 calls:

350.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
287.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
280.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
277.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4929	2291
1	4929	2291

prune160.0ms (3.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

Compiler

Compiled 3578 to 2072 computations (42.1% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_3812`
10×	`cbrt-div_binary64_3813`
9×	`add-sqr-sqrt_binary64_3805` `add-cube-cbrt_binary64_3816` `*-un-lft-identity_binary64_3784`
4×	`flip-+_binary64_3758` `add-exp-log_binary64_3819` `pow1/3_binary64_3863` `flip3-+_binary64_3787` `add-log-exp_binary64_3820` `pow1_binary64_3842` `add-cbrt-cube_binary64_3817`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series1.2s (24.5%)

Counts

4 → 12

Calls

4 calls:

338.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
289.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
283.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
270.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4910	1436
1	4910	1436

prune143.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	66	7	73

Merged error: 0b

Counts

73 → 7

Compiler

Compiled 3283 to 2001 computations (39% saved)

regimes173.0ms (3.6%)

Compiler: Compiled 2120 to 1506 computations (29% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample901.0ms (18.7%)

Algorithm

1×

intervals

Results

215.0ms	7446×	body	128	valid
18.0ms	190×	body	1024	valid
12.0ms	168×	body	512	valid
11.0ms	91×	body	2048	valid
5.0ms	105×	body	256	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 544 to 388 computations (28.7% saved)

Details

analyze338.0ms (7%)

sample15.0ms (0.3%)

simplify173.0ms (3.6%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite10.0ms (0.2%)

series38.0ms (0.8%)

simplify56.0ms (1.2%)

prune22.0ms (0.5%)

localize6.0ms (0.1%)

rewrite12.0ms (0.2%)

series90.0ms (1.9%)

simplify65.0ms (1.3%)

prune30.0ms (0.6%)

localize10.0ms (0.2%)

rewrite30.0ms (0.6%)

series1.2s (24.8%)

simplify78.0ms (1.6%)

prune160.0ms (3.3%)

localize20.0ms (0.4%)

rewrite20.0ms (0.4%)

series1.2s (24.5%)

simplify45.0ms (0.9%)

prune143.0ms (3%)

regimes173.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample901.0ms (18.7%)

Profiling