Details

analyze106.0ms (6.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify160.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5130	10

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_441`
11×	`unpow-prod-down_binary64_498`
9×	`difference-of-squares_binary64_388`
7×	`*-un-lft-identity_binary64_419` `sqr-pow_binary64_391` `cancel-sign-sub-inv_binary64_385`
3×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
2×	`distribute-lft-out--_binary64_371`
1×	`sub-neg_binary64_412` `flip3--_binary64_423` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `diff-log_binary64_511` `flip--_binary64_394` `pow1_binary64_480`

Counts

1 → 29

Calls

1 calls:

8.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series34.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify52.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4919	462
1	4919	462

prune29.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

Compiler

Compiled 401 to 254 computations (36.7% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 x 4) (pow.f64 y 4))
0.2b	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
39.8b	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))

rewrite51.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_419`
110×	`add-sqr-sqrt_binary64_441`
91×	`unpow-prod-down_binary64_498`
70×	`times-frac_binary64_425`
63×	`difference-of-squares_binary64_388`
43×	`sqr-pow_binary64_391`
32×	`distribute-lft-out_binary64_370`
26×	`add-cube-cbrt_binary64_454`
14×	`distribute-lft-out--_binary64_371` `associate-/l*_binary64_364`
7×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
5×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `associate-/r*_binary64_363`
3×	`pow1_binary64_480`
2×	`flip3-+_binary64_422` `flip3--_binary64_423` `associate-/r/_binary64_365` `flip-+_binary64_393` `flip--_binary64_394` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `div-inv_binary64_416` `sum-log_binary64_510` `frac-2neg_binary64_430` `diff-log_binary64_511` `+-commutative_binary64_349` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `div-sub_binary64_424`

Counts

3 → 148

Calls

3 calls:

19.0ms	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
8.0ms	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
7.0ms	(+.f64 (pow.f64 x 4) (pow.f64 y 4))

series188.0ms (11.5%)

Counts

3 → 9

Calls

3 calls:

86.0ms	(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 y 8)) (+.f64 (pow.f64 x 4) (pow.f64 y 4)))
71.0ms	(-.f64 (pow.f64 x 8) (pow.f64 y 8))
31.0ms	(+.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify90.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5100	4306

prune228.0ms (14%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Merged error: 0b

Counts

159 → 2

Compiler

Compiled 3732 to 2858 computations (23.4% saved)

regimes45.0ms (2.8%)

Compiler: Compiled 145 to 153 computations (-5.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample598.0ms (36.7%)

Algorithm

1×

intervals

Results

341.0ms	8000×	body	128	valid
12.0ms	308×	body	128	invalid

Compiler

Compiled 38 to 40 computations (-5.3% saved)

Details

analyze106.0ms (6.5%)

sample17.0ms (1.1%)

simplify160.0ms (9.8%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite10.0ms (0.6%)

series34.0ms (2.1%)

simplify52.0ms (3.2%)

prune29.0ms (1.8%)

localize10.0ms (0.6%)

rewrite51.0ms (3.2%)

series188.0ms (11.5%)

simplify90.0ms (5.5%)

prune228.0ms (14%)

regimes45.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample598.0ms (36.7%)

Profiling