Details

analyze3.5s (45.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	256
1	121	256
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

sample108.0ms (1.4%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
7.0ms	106×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

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

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_2504`
1×	`sum-log_binary64_2556` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `*-un-lft-identity_binary64_2465` `flip-+_binary64_2439` `+-commutative_binary64_2395`

Counts

1 → 11

Calls

1 calls:

8.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 222 to 56 computations (74.8% saved)

series262.0ms (3.4%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

243.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 564 to 385 computations (31.7% saved)

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

prune34.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Compiler

Compiled 440 to 70 computations (84.1% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t z) (.f64 x y))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
1.0b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.0b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite187.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_2487`
24×	`sqrt-prod_binary64_2481`
21×	`pow1_binary64_2526`
16×	`sqrt-div_binary64_2482`
14×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
8×	`swap-sqr_binary64_2432`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-l_binary64_2406` `associate-r_binary64_2405`
5×	`pow-prod-up_binary64_2535`
4×	`rem-sqrt-square_binary64_2478` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
3×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `sqrt-unprod_binary64_2485` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `*-commutative_binary64_2396` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 99

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
7.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
6.0ms	(+.f64 (.f64 t z) (.f64 x y))
6.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3237 to 413 computations (87.2% saved)

series899.0ms (11.7%)

Error

Counts

4 → 80

Calls

4 calls:

246.0ms	(+.f64 (.f64 t z) (.f64 x y))
234.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
179.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
172.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3944 to 2261 computations (42.7% saved)

simplify169.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4923	2397
1	4923	2397

prune181.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	179	2	181

Error

Counts

181 → 2

Compiler

Compiled 3758 to 476 computations (87.3% saved)

regimes269.0ms (3.5%)

Accuracy

Total 0.0b remaining (6.6%)

Threshold costs 0.0b (6.6%)

Compiler

Compiled 957 to 913 computations (4.6% saved)

bsearch0.0ms (0%)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 66 to 66 computations (0% saved)

end0.0ms (0%)

sample1.8s (23.2%)

Algorithm

1×

intervals

Results

483.0ms	8000×	body	128	valid
235.0ms	3897×	body	128	invalid

Compiler

Compiled 104 to 98 computations (5.8% saved)

Details

analyze3.5s (45.6%)

sample108.0ms (1.4%)

simplify13.0ms (0.2%)

prune4.0ms (0.1%)

localize18.0ms (0.2%)

rewrite26.0ms (0.3%)

series262.0ms (3.4%)

simplify142.0ms (1.8%)

prune34.0ms (0.4%)

localize20.0ms (0.3%)

rewrite187.0ms (2.4%)

series899.0ms (11.7%)

simplify169.0ms (2.2%)

prune181.0ms (2.3%)

regimes269.0ms (3.5%)

bsearch0.0ms (0%)

simplify74.0ms (1%)

end0.0ms (0%)

sample1.8s (23.2%)

Profiling