Details

analyze1.5s (9.9%)

Algorithm

1×

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
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample39.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
5.0ms	97×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	868	25
1	868	25

prune4.0ms (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 34 to 34 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 z t) 16)
0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

rewrite55.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
17×	`*-un-lft-identity_binary64`
14×	`cancel-sign-sub-inv_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
6×	`sum-log_binary64`
4×	`pow1_binary64` `diff-log_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `flip--_binary64`

Counts

4 → 81

Calls

4 calls:

17.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
13.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
12.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(/.f64 (*.f64 z t) 16)

series609.0ms (4%)

Counts

4 → 12

Calls

4 calls:

315.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
182.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
80.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
32.0ms	(/.f64 (*.f64 z t) 16)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4971	1890
1	4971	1890

prune176.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

Compiler

Compiled 3543 to 2143 computations (39.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.3b	(pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3)
34.2b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3))

rewrite56.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
11×	`add-log-exp_binary64`
8×	`associate-+l+_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `times-frac_binary64` `sum-log_binary64`
2×	`cbrt-div_binary64` `distribute-lft-out_binary64` `sqr-pow_binary64` `+-commutative_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `associate-+l-_binary64` `rem-cube-cbrt_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `pow-exp_binary64`

Counts

4 → 82

Calls

4 calls:

27.0ms	(+.f64 (-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3)) (/.f64 (*.f64 a b) 4)) c)
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3))
7.0ms	(pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3)
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

series786.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(+.f64 (-.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3)) (/.f64 (*.f64 a b) 4)) c)
298.0ms	(pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3)
97.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
88.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3))

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5098	2084

prune112.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

Compiler

Compiled 2520 to 1259 computations (50% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))
0.8b	(sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
0.8b	(sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `rem-sqrt-square_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `sqr-abs_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
6.0ms	(sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

series467.0ms (3%)

Counts

4 → 12

Calls

4 calls:

160.0ms	(sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
129.0ms	(sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
95.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
82.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5067	2385

prune155.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

Compiler

Compiled 3867 to 1864 computations (51.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4)))
1.6b	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))
3.3b	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3) (pow.f64 (/.f64 (*.f64 a b) 4) 3))
39.6b	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3) (pow.f64 (/.f64 (.f64 a b) 4) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4)))))

rewrite201.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

163×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
81×	`times-frac_binary64`
80×	`difference-of-squares_binary64`
67×	`unpow-prod-down_binary64` `cube-prod_binary64`
46×	`frac-add_binary64`
41×	`add-cube-cbrt_binary64` `sqr-pow_binary64`
37×	`flip3-+_binary64` `flip-+_binary64`
25×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
24×	`frac-times_binary64`
20×	`cancel-sign-sub-inv_binary64`
16×	`associate-/r/_binary64`
12×	`associate-*r/_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
6×	`pow1_binary64` `associate-*l/_binary64`
5×	`difference-cubes_binary64`
4×	`associate-/l/_binary64` `associate-r_binary64` `frac-sub_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `unpow3_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 253

Calls

4 calls:

54.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3) (pow.f64 (/.f64 (.f64 a b) 4) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4)))))
27.0ms	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3) (pow.f64 (/.f64 (*.f64 a b) 4) 3))
21.0ms	(.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4)))
20.0ms	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))

series7.4s (48.1%)

Counts

4 → 12

Calls

4 calls:

4.3s	(-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3) (pow.f64 (/.f64 (*.f64 a b) 4) 3))
1.4s	(+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))
1.2s	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) 3) (pow.f64 (/.f64 (.f64 a b) 4) 3)) (+.f64 (/.f64 (.f64 (.f64 a b) (.f64 a b)) 16) (.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4)))))
527.0ms	(.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (+.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4)))

simplify214.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5662	26929

prune1.6s (10.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	265	4	269

Merged error: 0.0b

Counts

269 → 4

Compiler

Compiled 24984 to 11439 computations (54.2% saved)

regimes255.0ms (1.7%)

Compiler: Compiled 1979 to 1716 computations (13.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

end0.0ms (0%)

sample1.4s (8.9%)

Algorithm

1×

intervals

Results

461.0ms	8000×	body	128	valid
220.0ms	3922×	body	128	invalid

Compiler

Compiled 158 to 138 computations (12.7% saved)

Details

analyze1.5s (9.9%)

sample39.0ms (0.3%)

simplify68.0ms (0.4%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite55.0ms (0.4%)

series609.0ms (4%)

simplify65.0ms (0.4%)

prune176.0ms (1.1%)

localize18.0ms (0.1%)

rewrite56.0ms (0.4%)

series786.0ms (5.1%)

simplify67.0ms (0.4%)

prune112.0ms (0.7%)

localize16.0ms (0.1%)

rewrite52.0ms (0.3%)

series467.0ms (3%)

simplify58.0ms (0.4%)

prune155.0ms (1%)

localize26.0ms (0.2%)

rewrite201.0ms (1.3%)

series7.4s (48.1%)

simplify214.0ms (1.4%)

prune1.6s (10.2%)

regimes255.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (8.9%)

Profiling