Details

analyze418.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5050	41
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 70 to 33 computations (52.9% saved)

sample66.0ms (0.8%)

Algorithm

1×

intervals

Results

44.0ms	256×	body	128	valid
5.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify259.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (248.0ms)

Iter	Nodes	Cost
0	5050	41

prune13.0ms (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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 119 to 75 computations (37% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/21 (pow.f64 x 6))
0.1b	(*.f64 1/5 (pow.f64 x 4))
0.2b	(.f64 2/3 (.f64 x x))
1.0b	(sqrt.f64 PI.f64)

rewrite58.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2828`
19×	`add-exp-log_binary64_2844`
15×	`associate-r_binary64_2746`
13×	`add-cbrt-cube_binary64_2842`
12×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
10×	`pow1_binary64_2867`
9×	`associate-l_binary64_2747` `prod-exp_binary64_2855`
8×	`unpow-prod-down_binary64_2885`
7×	`unswap-sqr_binary64_2774`
5×	`cbrt-unprod_binary64_2839`
4×	`add-log-exp_binary64_2845` `sqr-pow_binary64_2778`
3×	`*-commutative_binary64_2737` `sqrt-prod_binary64_2822` `pow-prod-down_binary64_2877`
2×	`pow-exp_binary64_2874` `pow-to-exp_binary64_2875`
1×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`

Counts

4 → 82

Calls

4 calls:

17.0ms	(*.f64 1/21 (pow.f64 x 6))
12.0ms	(.f64 2/3 (.f64 x x))
11.0ms	(*.f64 1/5 (pow.f64 x 4))
3.0ms	(sqrt.f64 PI.f64)

series209.0ms (2.4%)

Counts

4 → 9

Calls

4 calls:

85.0ms	(*.f64 1/21 (pow.f64 x 6))
67.0ms	(*.f64 1/5 (pow.f64 x 4))
56.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 468 to 402 computations (14.1% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5031	773

prune259.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	2	93

Error

0.1b

Counts

93 → 2

Compiler

Compiled 2782 to 1863 computations (33% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 2/3 (.f64 x x))
1.0b	(sqrt.f64 PI.f64)
8.6b	(sqrt.f64 (pow.f64 x 6))
8.6b	(sqrt.f64 (pow.f64 x 6))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`sqrt-prod_binary64_2822`
16×	`add-sqr-sqrt_binary64_2828`
10×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
9×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`unpow-prod-down_binary64_2885`
7×	`rem-sqrt-square_binary64_2819`
4×	`add-log-exp_binary64_2845` `sqr-pow_binary64_2778`
3×	`associate-l_binary64_2747` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877`
1×	`-commutative_binary64_2737` `associate-r*_binary64_2746` `unswap-sqr_binary64_2774`

Counts

4 → 70

Calls

4 calls:

11.0ms	(.f64 2/3 (.f64 x x))
7.0ms	(sqrt.f64 (pow.f64 x 6))
5.0ms	(sqrt.f64 (pow.f64 x 6))
2.0ms	(sqrt.f64 PI.f64)

series187.0ms (2.2%)

Counts

4 → 9

Calls

4 calls:

63.0ms	(sqrt.f64 (pow.f64 x 6))
62.0ms	(.f64 2/3 (.f64 x x))
62.0ms	(sqrt.f64 (pow.f64 x 6))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 572 to 488 computations (14.7% saved)

simplify134.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4892	569
1	4892	569

prune256.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	2	81

Error

0.1b

Counts

81 → 2

Compiler

Compiled 2846 to 1986 computations (30.2% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 1/21 (sqrt.f64 (pow.f64 x 6)))
0.2b	(.f64 2/3 (.f64 x x))
1.0b	(sqrt.f64 PI.f64)
8.6b	(sqrt.f64 (pow.f64 x 6))

rewrite50.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2828`
20×	`sqrt-prod_binary64_2822`
12×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `associate-r_binary64_2746`
8×	`unpow-prod-down_binary64_2885`
6×	`associate-l_binary64_2747`
5×	`unswap-sqr_binary64_2774`
4×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `rem-sqrt-square_binary64_2819` `add-log-exp_binary64_2845` `sqr-pow_binary64_2778` `pow-prod-down_binary64_2877`
2×	`pow1/2_binary64_2886` `*-commutative_binary64_2737` `sqrt-pow1_binary64_2824`

Counts

4 → 79

Calls

4 calls:

14.0ms	(.f64 2/3 (.f64 x x))
13.0ms	(*.f64 1/21 (sqrt.f64 (pow.f64 x 6)))
4.0ms	(sqrt.f64 (pow.f64 x 6))
2.0ms	(sqrt.f64 PI.f64)

series183.0ms (2.1%)

Counts

4 → 9

Calls

4 calls:

70.0ms	(*.f64 1/21 (sqrt.f64 (pow.f64 x 6)))
62.0ms	(sqrt.f64 (pow.f64 x 6))
51.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 568 to 484 computations (14.8% saved)

simplify150.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4894	768
1	4894	768

prune275.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	88	2	90

Error

0.1b

Counts

90 → 2

Compiler

Compiled 3188 to 2238 computations (29.8% saved)

localize59.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
0.1b	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite220.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`add-exp-log_binary64_2844`
76×	`prod-exp_binary64_2855`
75×	`add-cbrt-cube_binary64_2842`
48×	`associate-l_binary64_2747`
46×	`add-sqr-sqrt_binary64_2828`
44×	`cbrt-unprod_binary64_2839`
40×	`times-frac_binary64_2812`
36×	`pow1_binary64_2867`
35×	`*-un-lft-identity_binary64_2806`
33×	`add-cube-cbrt_binary64_2841`
22×	`pow-prod-down_binary64_2877`
15×	`div-exp_binary64_2857` `associate-*l/_binary64_2749`
14×	`sqrt-prod_binary64_2822`
12×	`frac-add_binary64_2814`
9×	`cbrt-undiv_binary64_2840`
6×	`frac-times_binary64_2816` `1-exp_binary64_2850` `rec-exp_binary64_2856` `flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-*r/_binary64_2748`
5×	`associate-r_binary64_2746` `unswap-sqr_binary64_2774`
4×	`add-log-exp_binary64_2845`
3×	`div-inv_binary64_2803` `*-commutative_binary64_2737`
1×	`pow1/2_binary64_2886` `distribute-lft-in_binary64_2755` `sqrt-pow1_binary64_2824` `distribute-rgt-in_binary64_2756` `rem-sqrt-square_binary64_2819`

Counts

4 → 169

Calls

4 calls:

55.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
51.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
24.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
3.0ms	(sqrt.f64 PI.f64)

series774.0ms (8.9%)

Counts

4 → 9

Calls

4 calls:

538.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
129.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
105.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 882 to 522 computations (40.8% saved)

simplify222.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4910	5228
1	4910	5228

prune828.0ms (9.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	177	3	180

Error

Counts

180 → 3

Compiler

Compiled 10889 to 4869 computations (55.3% saved)

regimes668.0ms (7.7%)

Accuracy

Total 0.2b remaining (99%)

Threshold costs 0.2b (99%)

Compiler

Compiled 4835 to 3400 computations (29.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	76	49
1	76	49

end0.0ms (0%)

sample3.1s (36%)

Algorithm

1×

intervals

Results

1.4s	8000×	body	128	valid
173.0ms	8005×	pre	128	true
1.0ms	5×	body	128	invalid

Compiler

Compiled 940 to 678 computations (27.9% saved)

Details

analyze418.0ms (4.8%)

sample66.0ms (0.8%)

simplify259.0ms (3%)

prune13.0ms (0.1%)

localize36.0ms (0.4%)

rewrite58.0ms (0.7%)

series209.0ms (2.4%)

simplify95.0ms (1.1%)

prune259.0ms (3%)

localize38.0ms (0.4%)

rewrite38.0ms (0.4%)

series187.0ms (2.2%)

simplify134.0ms (1.5%)

prune256.0ms (2.9%)

localize42.0ms (0.5%)

rewrite50.0ms (0.6%)

series183.0ms (2.1%)

simplify150.0ms (1.7%)

prune275.0ms (3.2%)

localize59.0ms (0.7%)

rewrite220.0ms (2.5%)

series774.0ms (8.9%)

simplify222.0ms (2.6%)

prune828.0ms (9.6%)

regimes668.0ms (7.7%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.1s (36%)

Profiling