Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	79×	body	512	valid
7.0ms	32×	body	256	valid
4.0ms	136×	body	128	valid
1.0ms	9×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify100.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms (0.1%)

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

Error

17.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
3.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite99.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_2806`
95×	`add-sqr-sqrt_binary64_2828`
90×	`times-frac_binary64_2812`
43×	`add-cube-cbrt_binary64_2841`
30×	`distribute-lft-out--_binary64_2758`
27×	`cancel-sign-sub-inv_binary64_2772`
23×	`difference-of-squares_binary64_2775`
11×	`add-exp-log_binary64_2844` `associate-/r*_binary64_2750`
10×	`distribute-lft-out_binary64_2757`
8×	`associate-/r/_binary64_2752`
7×	`div-inv_binary64_2803` `add-cbrt-cube_binary64_2842` `difference-of-sqr-1_binary64_2776`
6×	`associate-/l*_binary64_2751`
5×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
4×	`div-exp_binary64_2857` `flip--_binary64_2781`
3×	`flip3--_binary64_2810`
2×	`1-exp_binary64_2850` `pow-flip_binary64_2880` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `flip-+_binary64_2780` `inv-pow_binary64_2891` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `frac-sub_binary64_2815` `flip3-+_binary64_2809`

Counts

3 → 151

Calls

3 calls:

50.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
12.0ms	(/.f64 1 (-.f64 x 1))
11.0ms	(/.f64 1 (+.f64 x 1))

series57.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

38.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
10.0ms	(/.f64 1 (-.f64 x 1))
9.0ms	(/.f64 1 (+.f64 x 1))

simplify132.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4814	2407
1	4814	2407

prune250.0ms (6.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	2	161

Error

0.3b

Counts

161 → 2

Compiler

Compiled 2696 to 2201 computations (18.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-/r_binary64_2750` `associate-/l_binary64_2751`
2×	`associate-/r/_binary64_2752`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `flip-+_binary64_2780` `add-log-exp_binary64_2845` `flip3-+_binary64_2809` `clear-num_binary64_2805` `pow1_binary64_2867` `frac-2neg_binary64_2817`

Counts

1 → 29

Calls

1 calls:

9.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series33.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify107.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5511	557

prune52.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Error

0.2b

Counts

34 → 5

Compiler

Compiled 548 to 377 computations (31.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
15.7b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
15.7b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
15.7b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

rewrite53.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64_2837`
36×	`times-frac_binary64_2812`
33×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
8×	`associate-/r/_binary64_2752`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`div-inv_binary64_2803` `flip-+_binary64_2780` `add-log-exp_binary64_2845` `flip3-+_binary64_2809` `pow1_binary64_2867`
3×	`cbrt-div_binary64_2838` `pow1/3_binary64_2888` `associate-/r_binary64_2750` `associate-/l_binary64_2751`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 101

Calls

4 calls:

11.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
9.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
6.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
4.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

series325.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
100.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
89.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
23.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify128.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5408	2553

prune265.0ms (6.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	112	6	118

Error

0.2b

Counts

118 → 6

Compiler

Compiled 4113 to 2855 computations (30.6% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

15.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
15.7b	(cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (.f64 x x))))) (/.f64 (cbrt.f64 -2) (cbrt.f64 (+.f64 -1 (.f64 x x))))))
15.7b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
15.7b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

rewrite41.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`cbrt-prod_binary64_2837`
19×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
7×	`cbrt-div_binary64_2838`
4×	`add-exp-log_binary64_2844` `pow1/3_binary64_2888` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `associate-/r/_binary64_2752` `pow1_binary64_2867`
3×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`div-inv_binary64_2803`
1×	`frac-times_binary64_2816` `pow3_binary64_2889` `associate-r/_binary64_2748` `rem-cbrt-cube_binary64_2830` `associate-l/_binary64_2749`

Counts

4 → 74

Calls

4 calls:

20.0ms	(cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (.f64 x x))))) (/.f64 (cbrt.f64 -2) (cbrt.f64 (+.f64 -1 (.f64 x x))))))
4.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
4.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series363.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (.f64 x x))))) (/.f64 (cbrt.f64 -2) (cbrt.f64 (+.f64 -1 (.f64 x x))))))
93.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
86.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
77.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

simplify139.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5083	2000

prune357.0ms (8.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Error

0.2b

Counts

92 → 6

Compiler

Compiled 4653 to 3283 computations (29.4% saved)

regimes122.0ms (3%)

Accuracy

Total 0.1b remaining (14.4%)

Threshold costs 0.1b (14.4%)

Compiler

Compiled 788 to 614 computations (22.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample1.3s (32.2%)

Algorithm

1×

intervals

Results

236.0ms	2004×	body	512	valid
200.0ms	4595×	body	128	valid
80.0ms	967×	body	256	valid
70.0ms	434×	body	1024	valid

Compiler

Compiled 401 to 314 computations (21.7% saved)

Details

analyze4.0ms (0.1%)

sample24.0ms (0.6%)

simplify100.0ms (2.5%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite99.0ms (2.5%)

series57.0ms (1.4%)

simplify132.0ms (3.3%)

prune250.0ms (6.2%)

localize8.0ms (0.2%)

rewrite13.0ms (0.3%)

series33.0ms (0.8%)

simplify107.0ms (2.7%)

prune52.0ms (1.3%)

localize8.0ms (0.2%)

rewrite53.0ms (1.3%)

series325.0ms (8.1%)

simplify128.0ms (3.2%)

prune265.0ms (6.6%)

localize22.0ms (0.5%)

rewrite41.0ms (1%)

series363.0ms (9.1%)

simplify139.0ms (3.5%)

prune357.0ms (8.9%)

regimes122.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (32.2%)

Profiling