Details

analyze12.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify503.0ms (12%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (368.0ms)

Iter	Nodes	Cost
0	7521	9

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`sqrt-prod_binary64_2481`
4×	`add-sqr-sqrt_binary64_2487`
3×	`*-un-lft-identity_binary64_2465`
2×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `sqrt-div_binary64_2482` `difference-of-squares_binary64_2434`
1×	`pow1/2_binary64_2545` `add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-pow1_binary64_2483` `flip3--_binary64_2469` `flip--_binary64_2440` `rem-sqrt-square_binary64_2478`

Counts

1 → 17

Calls

1 calls:

4.0ms

(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 228 to 141 computations (38.2% saved)

series32.0ms (0.8%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

23.0ms

(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 127 to 116 computations (8.7% saved)

simplify184.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	4759	284
1	4759	284

prune25.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 259 to 176 computations (32% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
0.0b	(+.f64 (*.f64 x x) (pow.f64 x 4))

rewrite436.0ms (10.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

140×	`sqrt-prod_binary64_2481`
118×	`*-un-lft-identity_binary64_2465`
105×	`add-sqr-sqrt_binary64_2487`
91×	`times-frac_binary64_2471`
48×	`add-cube-cbrt_binary64_2500` `difference-of-squares_binary64_2434`
16×	`unpow-prod-down_binary64_2544` `sqr-pow_binary64_2437`
15×	`distribute-lft-out_binary64_2416`
13×	`associate-/l*_binary64_2410`
8×	`distribute-lft-out--_binary64_2417`
7×	`associate-/r*_binary64_2409`
6×	`sqrt-div_binary64_2482`
5×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`pow1_binary64_2526`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
2×	`associate-/l/_binary64_2412` `associate-/r/_binary64_2411`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `sqrt-undiv_binary64_2486` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3--_binary64_2469` `flip--_binary64_2440` `pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478`

Counts

3 → 155

Calls

3 calls:

21.0ms	(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
7.0ms	(sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
5.0ms	(+.f64 (*.f64 x x) (pow.f64 x 4))

Compiler

Compiled 5296 to 3907 computations (26.2% saved)

series417.0ms (9.9%)

Error

Counts

3 → 20

Calls

3 calls:

284.0ms	(sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
82.0ms	(+.f64 (*.f64 x x) (pow.f64 x 4))
35.0ms	(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))

Compiler

Compiled 622 to 549 computations (11.7% saved)

simplify177.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4929	6298
1	4929	6298

prune352.0ms (8.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	176	1	177

Error

Counts

177 → 1

Compiler

Compiled 4924 to 3628 computations (26.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 4))
0.0b	(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) 1)))
0.0b	(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) 1))

rewrite391.0ms (9.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

121×	`*-un-lft-identity_binary64_2465`
100×	`add-sqr-sqrt_binary64_2487`
81×	`times-frac_binary64_2471`
54×	`difference-of-squares_binary64_2434`
46×	`sqrt-prod_binary64_2481`
34×	`add-cube-cbrt_binary64_2500`
21×	`distribute-lft-out_binary64_2416`
18×	`unpow-prod-down_binary64_2544` `sqr-pow_binary64_2437`
10×	`associate-/l*_binary64_2410`
9×	`distribute-lft-out--_binary64_2417`
5×	`add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
4×	`pow1_binary64_2526` `associate-/r/_binary64_2411` `associate-/r*_binary64_2409`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
2×	`div-inv_binary64_2462` `associate-/l/_binary64_2412` `rem-sqrt-square_binary64_2478`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `flip3--_binary64_2469` `flip--_binary64_2440` `pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `sqrt-div_binary64_2482` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

3 → 140

Calls

3 calls:

16.0ms	(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) 1)))
16.0ms	(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) 1))
5.0ms	(+.f64 (*.f64 x x) (pow.f64 x 4))

Compiler

Compiled 4423 to 3192 computations (27.8% saved)

series283.0ms (6.8%)

Error

Counts

3 → 18

Calls

3 calls:

147.0ms	(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) 1))
72.0ms	(+.f64 (*.f64 x x) (pow.f64 x 4))
39.0ms	(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) 1)))

Compiler

Compiled 425 to 380 computations (10.6% saved)

simplify147.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5020	5194

prune316.0ms (7.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	1	159

Error

Counts

159 → 1

Compiler

Compiled 4129 to 2957 computations (28.4% saved)

regimes93.0ms (2.2%)

Accuracy

Total 0.0b remaining (96.4%)

Threshold costs 0.0b (96.4%)

Compiler

Compiled 809 to 615 computations (24% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	24
1	25	24

end0.0ms (0%)

sample737.0ms (17.6%)

Algorithm

1×

intervals

Results

246.0ms

8000×

body

128

valid

Compiler

Compiled 170 to 132 computations (22.4% saved)

Details

analyze12.0ms (0.3%)

sample22.0ms (0.5%)

simplify503.0ms (12%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite32.0ms (0.8%)

series32.0ms (0.8%)

simplify184.0ms (4.4%)

prune25.0ms (0.6%)

localize14.0ms (0.3%)

rewrite436.0ms (10.4%)

series417.0ms (9.9%)

simplify177.0ms (4.2%)

prune352.0ms (8.4%)

localize10.0ms (0.2%)

rewrite391.0ms (9.3%)

series283.0ms (6.8%)

simplify147.0ms (3.5%)

prune316.0ms (7.5%)

regimes93.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample737.0ms (17.6%)

Profiling