Details

analyze3.0ms (0.1%)

Algorithm

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)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

prune6.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite76.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64_3147`
23×	`add-sqr-sqrt_binary64_3169`
18×	`times-frac_binary64_3153`
17×	`distribute-lft-out_binary64_3098`
14×	`add-cube-cbrt_binary64_3182`
12×	`sqrt-prod_binary64_3163`
6×	`associate-/r*_binary64_3091`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
3×	`pow1_binary64_3208` `associate-/l*_binary64_3092`
2×	`add-log-exp_binary64_3186` `flip3-+_binary64_3150` `associate-/r/_binary64_3093` `flip-+_binary64_3121` `sqrt-div_binary64_3164`
1×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160`

Counts

2 → 57

Calls

2 calls:

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

Compiler

Compiled 920 to 701 computations (23.8% saved)

series59.0ms (1.5%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

35.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
15.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 312 to 258 computations (17.3% saved)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5007	987

prune63.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Error

Counts

70 → 3

Compiler

Compiled 942 to 703 computations (25.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
0.6b	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
0.6b	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
0.6b	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

rewrite780.0ms (19.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

227×	`*-un-lft-identity_binary64_3147`
204×	`cbrt-prod_binary64_3178`
164×	`add-sqr-sqrt_binary64_3169`
156×	`times-frac_binary64_3153`
108×	`distribute-lft-out_binary64_3098`
86×	`add-cube-cbrt_binary64_3182`
54×	`sqrt-prod_binary64_3163`
39×	`swap-sqr_binary64_3114`
27×	`associate-l_binary64_3088` `associate-r_binary64_3087`
14×	`associate-/r/_binary64_3093`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `unswap-sqr_binary64_3115`
7×	`cbrt-div_binary64_3179` `div-inv_binary64_3144` `flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-exp-log_binary64_3185`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `frac-times_binary64_3157` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `*-commutative_binary64_3078`

Counts

4 → 222

Calls

4 calls:

38.0ms	(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
8.0ms	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
8.0ms	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
8.0ms	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

Compiler

Compiled 9331 to 7287 computations (21.9% saved)

series637.0ms (15.7%)

Error

Counts

4 → 20

Calls

4 calls:

212.0ms	(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
131.0ms	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
129.0ms	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
126.0ms	(cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))

Compiler

Compiled 3210 to 2703 computations (15.8% saved)

simplify114.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4980	6795
1	4980	6795

prune625.0ms (15.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	242	3	245

Error

Counts

245 → 3

Compiler

Compiled 8809 to 6895 computations (21.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite212.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

113×	`*-un-lft-identity_binary64_3147`
89×	`add-sqr-sqrt_binary64_3169`
77×	`sqrt-prod_binary64_3163`
76×	`times-frac_binary64_3153`
53×	`distribute-lft-out_binary64_3098`
46×	`add-cube-cbrt_binary64_3182`
42×	`associate-r_binary64_3087`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`pow1_binary64_3208` `unswap-sqr_binary64_3115` `associate-l_binary64_3088` `associate-/l_binary64_3092` `associate-/r_binary64_3091`
4×	`associate-/r/_binary64_3093`
3×	`add-log-exp_binary64_3186` `flip3-+_binary64_3150` `flip-+_binary64_3121`
2×	`div-exp_binary64_3198` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `cbrt-undiv_binary64_3181` `div-inv_binary64_3144` `sqrt-div_binary64_3164`
1×	`pow-prod-down_binary64_3218` `associate-r/_binary64_3089` `-commutative_binary64_3078` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160`

Counts

3 → 146

Calls

3 calls:

22.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
9.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 3252 to 2010 computations (38.2% saved)

series105.0ms (2.6%)

Error

Counts

3 → 14

Calls

3 calls:

41.0ms	(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
38.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 525 to 400 computations (23.8% saved)

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4859	2754
1	4859	2754

prune145.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	160	3	163

Error

Counts

163 → 3

Compiler

Compiled 2869 to 1786 computations (37.7% saved)

regimes95.0ms (2.4%)

Accuracy

Total 0.2b remaining (99.6%)

Threshold costs 0.2b (99.6%)

Compiler

Compiled 876 to 722 computations (17.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	10	12

end0.0ms (0%)

sample853.0ms (21.1%)

Algorithm

1×

intervals

Results

218.0ms	7997×	body	128	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 446 to 369 computations (17.3% saved)

Details

analyze3.0ms (0.1%)

sample13.0ms (0.3%)

simplify90.0ms (2.2%)

prune6.0ms (0.2%)

localize5.0ms (0.1%)

rewrite76.0ms (1.9%)

series59.0ms (1.5%)

simplify58.0ms (1.4%)

prune63.0ms (1.6%)

localize10.0ms (0.2%)

rewrite780.0ms (19.3%)

series637.0ms (15.7%)

simplify114.0ms (2.8%)

prune625.0ms (15.5%)

localize8.0ms (0.2%)

rewrite212.0ms (5.2%)

series105.0ms (2.6%)

simplify86.0ms (2.1%)

prune145.0ms (3.6%)

regimes95.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample853.0ms (21.1%)

Profiling