Details

analyze110.0ms (3.6%)

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)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

prune4.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize16.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite133.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

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-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
4×	`pow1_binary64_2867`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l*_binary64_2751`
2×	`associate-/r/_binary64_2752` `sqrt-div_binary64_2823`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `sum-log_binary64_2897` `+-commutative_binary64_2736` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`

Counts

3 → 71

Calls

3 calls:

16.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
11.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1133 to 876 computations (22.7% saved)

series76.0ms (2.5%)

Error

0.2b

Counts

3 → 13

Calls

3 calls:

38.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
17.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
13.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 317 to 259 computations (18.3% saved)

simplify105.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4842	1113
1	4842	1113

prune82.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 1069 to 803 computations (24.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 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 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite245.0ms (8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

70×	`*-un-lft-identity_binary64_2806`
51×	`add-sqr-sqrt_binary64_2828`
38×	`times-frac_binary64_2812`
33×	`distribute-lft-out_binary64_2757`
27×	`add-cube-cbrt_binary64_2841`
24×	`associate-r_binary64_2746`
20×	`sqrt-prod_binary64_2822`
17×	`add-exp-log_binary64_2844`
11×	`add-cbrt-cube_binary64_2842`
8×	`pow1_binary64_2867`
6×	`add-log-exp_binary64_2845` `associate-/r*_binary64_2750`
4×	`div-exp_binary64_2857` `flip3-+_binary64_2809` `associate-/r/_binary64_2752` `flip-+_binary64_2780` `prod-exp_binary64_2855`
3×	`associate-/l_binary64_2751` `unswap-sqr_binary64_2774` `associate-l*_binary64_2747`
2×	`1-exp_binary64_2850` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `div-inv_binary64_2803` `cbrt-unprod_binary64_2839` `sqrt-div_binary64_2823`
1×	`inv-pow_binary64_2891` `pow-flip_binary64_2880` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `pow-prod-down_binary64_2877` `un-div-inv_binary64_2804` `associate-r/_binary64_2748` `-commutative_binary64_2737` `sum-log_binary64_2897` `+-commutative_binary64_2736` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`

Counts

4 → 122

Calls

4 calls:

28.0ms	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
17.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 2243 to 1893 computations (15.6% saved)

series130.0ms (4.2%)

Error

Counts

4 → 19

Calls

4 calls:

45.0ms	(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
26.0ms	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
25.0ms	(sqrt.f64 (+.f64 x 1))
16.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 556 to 464 computations (16.5% saved)

simplify99.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	6073	1773

prune134.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	141	3	144

Error

Counts

144 → 3

Compiler

Compiled 2019 to 1663 computations (17.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite313.0ms (10.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`*-un-lft-identity_binary64_2806`
92×	`add-sqr-sqrt_binary64_2828`
79×	`sqrt-prod_binary64_2822`
76×	`times-frac_binary64_2812`
57×	`distribute-lft-out_binary64_2757`
47×	`add-cube-cbrt_binary64_2841`
42×	`associate-r_binary64_2746`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
7×	`pow1_binary64_2867`
6×	`add-log-exp_binary64_2845` `unswap-sqr_binary64_2774` `associate-l_binary64_2747` `associate-/l_binary64_2751` `associate-/r_binary64_2750`
4×	`flip3-+_binary64_2809` `associate-/r/_binary64_2752` `flip-+_binary64_2780`
2×	`div-exp_binary64_2857` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `cbrt-undiv_binary64_2840` `div-inv_binary64_2803` `sqrt-div_binary64_2823`
1×	`pow-prod-down_binary64_2877` `associate-r/_binary64_2748` `-commutative_binary64_2737` `sum-log_binary64_2897` `+-commutative_binary64_2736` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`

Counts

4 → 160

Calls

4 calls:

42.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
17.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
11.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
6.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3521 to 2199 computations (37.5% saved)

series149.0ms (4.8%)

Error

Counts

4 → 14

Calls

4 calls:

66.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
46.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
18.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
12.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 527 to 391 computations (25.8% saved)

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4939	2885
1	4939	2885

prune174.0ms (5.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	174	3	177

Error

Counts

177 → 3

Compiler

Compiled 3076 to 1918 computations (37.6% saved)

regimes120.0ms (3.9%)

Accuracy

Total 0.2b remaining (99.6%)

Threshold costs 0.2b (99.6%)

Compiler

Compiled 902 to 741 computations (17.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms (0%)

sample1.0s (33.9%)

Algorithm

1×

intervals

Results

275.0ms	7999×	body	128	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 406 to 334 computations (17.7% saved)

Details

analyze110.0ms (3.6%)

sample17.0ms (0.6%)

simplify13.0ms (0.4%)

prune4.0ms (0.1%)

localize16.0ms (0.5%)

rewrite133.0ms (4.3%)

series76.0ms (2.5%)

simplify105.0ms (3.4%)

prune82.0ms (2.7%)

localize8.0ms (0.3%)

rewrite245.0ms (8%)

series130.0ms (4.2%)

simplify99.0ms (3.2%)

prune134.0ms (4.4%)

localize7.0ms (0.2%)

rewrite313.0ms (10.2%)

series149.0ms (4.8%)

simplify98.0ms (3.2%)

prune174.0ms (5.6%)

regimes120.0ms (3.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (33.9%)

Profiling