Details

analyze563.0ms (13.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	47×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify170.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	118	10
1	118	10

prune2.0ms (0%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3902`
1×	`cancel-sign-sub-inv_binary64_3829` `flip--_binary64_3838` `add-sqr-sqrt_binary64_3885` `flip3--_binary64_3867` `add-cube-cbrt_binary64_3898` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `sub-neg_binary64_3856` `*-un-lft-identity_binary64_3863` `diff-log_binary64_3955` `add-exp-log_binary64_3901`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series89.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

89.0ms

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

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4892	220
1	4892	220

prune15.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

Compiler

Compiled 291 to 110 computations (62.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
2.3b	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
4.9b	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
35.9b	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))

rewrite68.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_3885`
30×	`*-un-lft-identity_binary64_3863`
27×	`times-frac_binary64_3869`
21×	`sqr-pow_binary64_3835`
20×	`add-cube-cbrt_binary64_3898` `difference-of-squares_binary64_3832`
11×	`add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
9×	`associate-/l*_binary64_3808` `pow1_binary64_3924`
8×	`add-log-exp_binary64_3902` `cancel-sign-sub-inv_binary64_3829` `distribute-rgt-in_binary64_3813` `distribute-lft-in_binary64_3812`
5×	`distribute-lft-out--_binary64_3815` `difference-cubes_binary64_3865`
4×	`associate-+r+_binary64_3795` `associate-*r/_binary64_3805`
3×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `associate-/r_binary64_3807` `flip3-+_binary64_3866` `associate-l*_binary64_3804` `pow-prod-down_binary64_3934` `flip-+_binary64_3837`
2×	`flip--_binary64_3838` `associate-/l/_binary64_3810` `flip3--_binary64_3867` `associate-/r/_binary64_3809`
1×	`div-inv_binary64_3860` `cube-mult_binary64_3893` `frac-2neg_binary64_3874` `associate-r_binary64_3803` `div-exp_binary64_3914` `unpow3_binary64_3929` `div-sub_binary64_3868` `cbrt-undiv_binary64_3897` `*-commutative_binary64_3794` `sum-log_binary64_3954` `unpow-prod-down_binary64_3942` `+-commutative_binary64_3793` `sub-neg_binary64_3856` `clear-num_binary64_3862` `diff-log_binary64_3955` `cube-prod_binary64_3891`

Counts

4 → 120

Calls

4 calls:

22.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
10.0ms	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
9.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
9.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

series974.0ms (23.5%)

Counts

4 → 12

Calls

4 calls:

344.0ms	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
326.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
181.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
122.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5410	5701

prune182.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	132	2	134

Merged error: 0b

Counts

134 → 2

Compiler

Compiled 6150 to 1437 computations (76.6% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
22.9b	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
22.9b	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
25.5b	(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t)))))))

rewrite67.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3885`
22×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
18×	`sqrt-prod_binary64_3879` `times-frac_binary64_3869`
14×	`pow1_binary64_3924`
11×	`add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
6×	`associate-/r*_binary64_3807` `sqrt-div_binary64_3880`
5×	`flip3-+_binary64_3866` `flip-+_binary64_3837`
4×	`add-log-exp_binary64_3902` `distribute-rgt-in_binary64_3813` `distribute-lft-in_binary64_3812` `associate-*r/_binary64_3805`
3×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `associate-/l_binary64_3808` `sqrt-pow1_binary64_3881` `pow1/2_binary64_3943` `associate-l*_binary64_3804` `pow-prod-down_binary64_3934`
2×	`associate-/l/_binary64_3810` `rem-sqrt-square_binary64_3876` `associate-/r/_binary64_3809` `pow-div_binary64_3938`
1×	`div-inv_binary64_3860` `frac-2neg_binary64_3874` `associate-r_binary64_3803` `div-exp_binary64_3914` `cbrt-undiv_binary64_3897` `*-commutative_binary64_3794` `clear-num_binary64_3862`

Counts

4 → 99

Calls

4 calls:

20.0ms	(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t)))))))
9.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
8.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
8.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))

series895.0ms (21.6%)

Counts

4 → 12

Calls

4 calls:

274.0ms	(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t)))))))
258.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
248.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
115.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4976	4532
1	4976	4532

prune185.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Merged error: 0b

Counts

113 → 2

Compiler

Compiled 8575 to 1084 computations (87.4% saved)

regimes67.0ms (1.6%)

Compiler: Compiled 566 to 227 computations (59.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample571.0ms (13.8%)

Algorithm

1×

intervals

Results

215.0ms	8000×	body	128	valid
37.0ms	1275×	body	128	invalid

Compiler

Compiled 91 to 42 computations (53.8% saved)

Details

analyze563.0ms (13.6%)

sample22.0ms (0.5%)

simplify170.0ms (4.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series89.0ms (2.2%)

simplify64.0ms (1.5%)

prune15.0ms (0.4%)

localize16.0ms (0.4%)

rewrite68.0ms (1.6%)

series974.0ms (23.5%)

simplify77.0ms (1.8%)

prune182.0ms (4.4%)

localize19.0ms (0.5%)

rewrite67.0ms (1.6%)

series895.0ms (21.6%)

simplify83.0ms (2%)

prune185.0ms (4.5%)

regimes67.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample571.0ms (13.8%)

Profiling