Details

analyze423.0ms (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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	232×	body	128	valid
1.0ms	32×	body	128	invalid
1.0ms	8×	body	1024	valid
1.0ms	9×	body	512	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify324.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (229.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(-.f64 2/3 z)
0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_10330`
18×	`*-un-lft-identity_binary64_10308`
15×	`cancel-sign-sub-inv_binary64_10274`
12×	`add-cube-cbrt_binary64_10343`
11×	`pow1_binary64_10369` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
10×	`associate-*l/_binary64_10251`
8×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `flip--_binary64_10283` `associate-+r+_binary64_10240` `add-log-exp_binary64_10347` `associate-r_binary64_10248` `flip3--_binary64_10312`
6×	`associate-l_binary64_10249`
5×	`sub-neg_binary64_10301`
4×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `pow-prod-down_binary64_10379` `frac-times_binary64_10318`
3×	`distribute-lft-out--_binary64_10260` `difference-of-squares_binary64_10277`
2×	`associate-r/_binary64_10250` `-commutative_binary64_10239`
1×	`sum-log_binary64_10399` `flip-+_binary64_10282` `+-commutative_binary64_10238` `flip3-+_binary64_10311` `diff-log_binary64_10400` `unswap-sqr_binary64_10276`

Counts

4 → 93

Calls

8 calls:

14.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
7.0ms	(-.f64 2/3 z)
7.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0ms	(-.f64 2/3 z)

series558.0ms (8.6%)

Counts

4 → 54

Calls

4 calls:

280.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
193.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
64.0ms	(*.f64 (-.f64 y x) 6)
21.0ms	(-.f64 2/3 z)

Compiler

Compiled 1183 to 1040 computations (12.1% saved)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4946	1915
1	4946	1915

prune154.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	140	7	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	8	148

Error

0.0b

Counts

148 → 8

Compiler

Compiled 2326 to 1353 computations (41.8% saved)

localize11.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 (-.f64 y x) (.f64 z -6))
0.0b	(-.f64 (.f64 y 4) (.f64 x 3))
0.0b	(+.f64 (.f64 (-.f64 y x) (.f64 z -6)) (-.f64 (.f64 y 4) (.f64 x 3)))
0.0b	(+.f64 (.f64 (-.f64 y x) (.f64 z -6)) (-.f64 (.f64 y 4) (.f64 x 3)))
0.0b	(-.f64 (.f64 y 4) (.f64 x 3))
0.2b	(.f64 (-.f64 y x) (.f64 z -6))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_10347`
8×	`pow1_binary64_10369` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
6×	`flip--_binary64_10283` `flip3--_binary64_10312` `associate-l/_binary64_10251` `add-sqr-sqrt_binary64_10330` `-un-lft-identity_binary64_10308`
5×	`associate-l_binary64_10249`
4×	`frac-add_binary64_10316` `add-cube-cbrt_binary64_10343`
3×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `pow-prod-down_binary64_10379`
2×	`sum-log_binary64_10399` `sub-neg_binary64_10301` `associate-+r+_binary64_10240` `diff-log_binary64_10400` `cancel-sign-sub-inv_binary64_10274`
1×	`associate-+r-_binary64_10242` `associate-r_binary64_10248` `flip-+_binary64_10282` `+-commutative_binary64_10238` `flip3-+_binary64_10311` `distribute-lft-out--_binary64_10260` `*-commutative_binary64_10239` `difference-of-squares_binary64_10277`

Counts

3 → 53

Calls

6 calls:

12.0ms	(+.f64 (.f64 (-.f64 y x) (.f64 z -6)) (-.f64 (.f64 y 4) (.f64 x 3)))
8.0ms	(.f64 (-.f64 y x) (.f64 z -6))
4.0ms	(-.f64 (.f64 y 4) (.f64 x 3))
0.0ms	(+.f64 (.f64 (-.f64 y x) (.f64 z -6)) (-.f64 (.f64 y 4) (.f64 x 3)))
0.0ms	(-.f64 (.f64 y 4) (.f64 x 3))

series486.0ms (7.5%)

Counts

3 → 45

Calls

3 calls:

268.0ms	(+.f64 (.f64 (-.f64 y x) (.f64 z -6)) (-.f64 (.f64 y 4) (.f64 x 3)))
134.0ms	(.f64 (-.f64 y x) (.f64 z -6))
83.0ms	(-.f64 (.f64 y 4) (.f64 x 3))

Compiler

Compiled 1065 to 932 computations (12.5% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5401	1730

prune99.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	101	5	106

Error

0.0b

Counts

106 → 5

Compiler

Compiled 1958 to 1221 computations (37.6% saved)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.3b	(.f64 (.f64 (-.f64 y x) z) -6)
0.0b	(-.f64 (.f64 y 4) (.f64 x 3))
0.0b	(+.f64 (.f64 (.f64 (-.f64 y x) z) -6) (-.f64 (.f64 y 4) (.f64 x 3)))
0.0b	(+.f64 (.f64 (.f64 (-.f64 y x) z) -6) (-.f64 (.f64 y 4) (.f64 x 3)))
0.0b	(-.f64 (.f64 y 4) (.f64 x 3))
0.3b	(.f64 (.f64 (-.f64 y x) z) -6)

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*l/_binary64_10251`
10×	`add-log-exp_binary64_10347`
8×	`pow1_binary64_10369` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
6×	`flip--_binary64_10283` `flip3--_binary64_10312`
4×	`frac-add_binary64_10316` `add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
3×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `associate-r_binary64_10248` `pow-prod-down_binary64_10379`
2×	`sum-log_binary64_10399` `sub-neg_binary64_10301` `associate-+r+_binary64_10240` `diff-log_binary64_10400` `cancel-sign-sub-inv_binary64_10274`
1×	`associate-+r-_binary64_10242` `flip-+_binary64_10282` `associate-l_binary64_10249` `+-commutative_binary64_10238` `flip3-+_binary64_10311` `*-commutative_binary64_10239`

Counts

3 → 51

Calls

6 calls:

12.0ms	(+.f64 (.f64 (.f64 (-.f64 y x) z) -6) (-.f64 (.f64 y 4) (.f64 x 3)))
8.0ms	(.f64 (.f64 (-.f64 y x) z) -6)
4.0ms	(-.f64 (.f64 y 4) (.f64 x 3))
0.0ms	(+.f64 (.f64 (.f64 (-.f64 y x) z) -6) (-.f64 (.f64 y 4) (.f64 x 3)))
0.0ms	(-.f64 (.f64 y 4) (.f64 x 3))

series485.0ms (7.5%)

Counts

3 → 45

Calls

3 calls:

269.0ms	(+.f64 (.f64 (.f64 (-.f64 y x) z) -6) (-.f64 (.f64 y 4) (.f64 x 3)))
139.0ms	(.f64 (.f64 (-.f64 y x) z) -6)
77.0ms	(-.f64 (.f64 y 4) (.f64 x 3))

Compiler

Compiled 1065 to 932 computations (12.5% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5028	1711

prune88.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Error

0.0b

Counts

101 → 5

Compiler

Compiled 1899 to 1111 computations (41.5% saved)

localize17.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 y 4) (.f64 x 3))
0.0b	(-.f64 (.f64 y 4) (.f64 x 3))
0.0b	(-.f64 (.f64 y 4) (.f64 x 3))
0.0b	(+.f64 (.f64 (-.f64 y x) (.f64 z -6)) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3))) (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))) (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))))
0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3))) (cbrt.f64 (-.f64 (.f64 y 4) (*.f64 x 3))))
0.5b	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))
0.5b	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))
0.5b	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_10339`
23×	`add-sqr-sqrt_binary64_10330`
18×	`cbrt-div_binary64_10340`
15×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
11×	`pow1_binary64_10369`
9×	`flip--_binary64_10283` `pow1/3_binary64_10390` `flip3--_binary64_10312`
6×	`swap-sqr_binary64_10275` `associate-r_binary64_10248` `associate-l_binary64_10249` `add-exp-log_binary64_10346`
4×	`add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344` `frac-times_binary64_10318` `unswap-sqr_binary64_10276`
2×	`associate-r/_binary64_10250` `pow-sqr_binary64_10281` `associate-l/_binary64_10251` `pow-prod-down_binary64_10379` `pow-prod-up_binary64_10378`
1×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `pow-plus_binary64_10371` `*-commutative_binary64_10239` `pow2_binary64_10389`

Counts

4 → 87

Calls

8 calls:

12.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3))) (cbrt.f64 (-.f64 (.f64 y 4) (*.f64 x 3))))
4.0ms	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))
0.0ms	(+.f64 (.f64 (-.f64 y x) (.f64 z -6)) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3))) (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))) (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))))

series695.0ms (10.7%)

Counts

4 → 54

Calls

4 calls:

208.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3))) (cbrt.f64 (-.f64 (.f64 y 4) (*.f64 x 3))))
166.0ms	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))
164.0ms	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))
157.0ms	(cbrt.f64 (-.f64 (.f64 y 4) (.f64 x 3)))

Compiler

Compiled 4051 to 3487 computations (13.9% saved)

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5004	4266

prune376.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	140	6	146

Error

0.0b

Counts

146 → 6

Compiler

Compiled 6235 to 4572 computations (26.7% saved)

simplify107.0ms (1.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	2743	1413
1	2743	1413

regimes256.0ms (3.9%)

Compiler: Compiled 2793 to 2331 computations (16.5% saved)

bsearch0.0ms (0%)

regimes75.0ms (1.2%)

Compiler: Compiled 375 to 411 computations (-9.6% saved)

bsearch0.0ms (0%)

regimes65.0ms (1%)

Compiler: Compiled 309 to 351 computations (-13.6% saved)

bsearch0.0ms (0%)

regimes135.0ms (2.1%)

Compiler: Compiled 276 to 321 computations (-16.3% saved)

bsearch36.0ms (0.6%)

Steps

Iters	Range		Point
9	8.942267576483565e-06	6078.376318886255	0.5867000245577191
9	-159.45294931603195	-0.002269321912253517	-0.5940513121496368

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes33.0ms (0.5%)

Compiler: Compiled 57 to 96 computations (-68.4% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.4%)

Accuracy

Total 0.2b remaining (88.8%)

Threshold costs 0.2b (88.8%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 74 to 65 computations (12.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	107
1	77	107

end0.0ms (0%)

sample1.6s (24%)

Algorithm

1×

intervals

Results

302.0ms	7305×	body	128	valid
37.0ms	243×	body	1024	valid
33.0ms	275×	body	512	valid
26.0ms	646×	body	128	invalid
13.0ms	177×	body	256	valid

Compiler

Compiled 1017 to 852 computations (16.2% saved)

Pareto

0.21705237656211707

Details

analyze423.0ms (6.5%)

sample27.0ms (0.4%)

simplify324.0ms (5%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite41.0ms (0.6%)

series558.0ms (8.6%)

simplify94.0ms (1.5%)

prune154.0ms (2.4%)

localize11.0ms (0.2%)

rewrite29.0ms (0.5%)

series486.0ms (7.5%)

simplify61.0ms (0.9%)

prune99.0ms (1.5%)

localize10.0ms (0.2%)

rewrite28.0ms (0.4%)

series485.0ms (7.5%)

simplify62.0ms (1%)

prune88.0ms (1.4%)

localize17.0ms (0.3%)

rewrite35.0ms (0.5%)

series695.0ms (10.7%)

simplify66.0ms (1%)

prune376.0ms (5.8%)

simplify107.0ms (1.7%)

regimes256.0ms (3.9%)

bsearch0.0ms (0%)

regimes75.0ms (1.2%)

bsearch0.0ms (0%)

regimes65.0ms (1%)

bsearch0.0ms (0%)

regimes135.0ms (2.1%)

bsearch36.0ms (0.6%)

regimes33.0ms (0.5%)

bsearch0.0ms (0%)

regimes27.0ms (0.4%)

bsearch4.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (24%)

Profiling