Details

analyze95.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

prune2.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.1b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite23.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_2806`
26×	`add-sqr-sqrt_binary64_2828`
21×	`distribute-lft-out_binary64_2757`
18×	`times-frac_binary64_2812`
15×	`add-cube-cbrt_binary64_2841`
14×	`sqrt-prod_binary64_2822`
6×	`associate-/r*_binary64_2750`
5×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
4×	`pow1_binary64_2867`
3×	`flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-/l*_binary64_2751`
2×	`sqrt-div_binary64_2823` `associate-/r/_binary64_2752`
1×	`pow1/2_binary64_2886` `div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `sum-log_binary64_2897` `clear-num_binary64_2805` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

3 → 71

Calls

3 calls:

9.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

series95.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
17.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
14.0ms	(sqrt.f64 (+.f64 x 1))

simplify65.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4942	1549
1	4942	1549

prune80.0ms (5.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	3	81

Error

Counts

81 → 3

Compiler

Compiled 1326 to 984 computations (25.8% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) (-.f64 (*.f64 x 1/16) 1/8))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cancel-sign-sub-inv_binary64_2772` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
5×	`add-sqr-sqrt_binary64_2828`
4×	`distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
3×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-r_binary64_2746` `pow-prod-down_binary64_2877`
2×	`sub-neg_binary64_2799` `associate-*r/_binary64_2748`
1×	`associate-l_binary64_2747` `*-commutative_binary64_2737` `flip3--_binary64_2810` `add-log-exp_binary64_2845` `flip--_binary64_2781` `unswap-sqr_binary64_2774`

Counts

1 → 29

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x x) (-.f64 (*.f64 x 1/16) 1/8))

series50.0ms (3.6%)

Counts

1 → 3

Calls

1 calls:

50.0ms

(*.f64 (*.f64 x x) (-.f64 (*.f64 x 1/16) 1/8))

simplify57.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4965	473
1	4965	473

prune28.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	32	3	35

Error

Counts

35 → 3

Compiler

Compiled 562 to 384 computations (31.7% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
3.7b	(-.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_2806`
14×	`add-sqr-sqrt_binary64_2828`
12×	`sqrt-prod_binary64_2822`
7×	`cancel-sign-sub-inv_binary64_2772`
5×	`add-cube-cbrt_binary64_2841`
4×	`add-log-exp_binary64_2845` `difference-of-squares_binary64_2775`
3×	`distribute-lft-out_binary64_2757` `distribute-lft-out--_binary64_2758` `pow1_binary64_2867`
2×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
1×	`pow1/2_binary64_2886` `flip3--_binary64_2810` `sqrt-pow1_binary64_2824` `diff-log_binary64_2898` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819` `flip-+_binary64_2780` `flip--_binary64_2781` `flip3-+_binary64_2809`

Counts

2 → 41

Calls

2 calls:

7.0ms	(-.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

series35.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(-.f64 1 (sqrt.f64 (+.f64 x 1)))
13.0ms	(sqrt.f64 (+.f64 x 1))

simplify60.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4925	670
1	4925	670

prune37.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	47	3	50

Error

Counts

50 → 3

Compiler

Compiled 786 to 490 computations (37.7% saved)

regimes62.0ms (4.5%)

Accuracy

Total 0.2b remaining (99.7%)

Threshold costs 0.2b (99.7%)

Compiler

Compiled 526 to 428 computations (18.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

end0.0ms (0%)

sample614.0ms (44.7%)

Algorithm

1×

intervals

Results

226.0ms	7997×	body	128	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 271 to 222 computations (18.1% saved)

Details

analyze95.0ms (6.9%)

sample12.0ms (0.9%)

simplify7.0ms (0.5%)

prune2.0ms (0.2%)

localize10.0ms (0.7%)

rewrite23.0ms (1.7%)

series95.0ms (6.9%)

simplify65.0ms (4.7%)

prune80.0ms (5.8%)

localize7.0ms (0.5%)

rewrite13.0ms (0.9%)

series50.0ms (3.6%)

simplify57.0ms (4.2%)

prune28.0ms (2%)

localize7.0ms (0.5%)

rewrite14.0ms (1%)

series35.0ms (2.6%)

simplify60.0ms (4.4%)

prune37.0ms (2.7%)

regimes62.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample614.0ms (44.7%)

Profiling