Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	65×	body	1024	valid
3.0ms	135×	body	128	valid
2.0ms	36×	body	512	valid
1.0ms	15×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify100.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

Error

29.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

2.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.7b	(cbrt.f64 x)
2.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_109`
16×	`*-un-lft-identity_binary64_78`
15×	`add-sqr-sqrt_binary64_100`
7×	`add-cube-cbrt_binary64_113`
6×	`cancel-sign-sub-inv_binary64_44`
5×	`add-log-exp_binary64_117`
4×	`difference-of-squares_binary64_47`
3×	`add-cbrt-cube_binary64_114` `distribute-lft-out--_binary64_30` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`cbrt-div_binary64_110` `pow1/3_binary64_160` `distribute-lft-out_binary64_29`
1×	`flip-+_binary64_52` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

3 → 49

Calls

6 calls:

9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)
0.0ms	(cbrt.f64 (+.f64 x 1))
0.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series200.0ms (4.9%)

Counts

3 → 21

Calls

3 calls:

86.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
72.0ms	(cbrt.f64 x)
42.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 428 to 386 computations (9.8% saved)

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4867	957
1	4867	957

prune90.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Error

7.1b

Counts

71 → 7

Compiler

Compiled 979 to 657 computations (32.9% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.2b	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
0.2b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.7b	(cbrt.f64 x)
20.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_109`
13×	`*-un-lft-identity_binary64_78`
9×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
6×	`add-log-exp_binary64_117` `cancel-sign-sub-inv_binary64_44`
4×	`add-cbrt-cube_binary64_114` `cbrt-div_binary64_110` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`pow1/3_binary64_160`
2×	`flip-+_binary64_52` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `sub-neg_binary64_71`

Counts

4 → 56

Calls

8 calls:

21.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
5.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)
0.0ms	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))

series261.0ms (6.4%)

Counts

4 → 30

Calls

4 calls:

85.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
81.0ms	(cbrt.f64 x)
47.0ms	(cbrt.f64 (+.f64 x 1))
47.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 937 to 823 computations (12.2% saved)

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4810	1096
1	4810	1096

prune114.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Error

7.1b

Counts

93 → 7

Compiler

Compiled 2038 to 1519 computations (25.5% saved)

localize11.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.3b	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
0.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.7b	(cbrt.f64 x)
9.8b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_109`
13×	`*-un-lft-identity_binary64_78`
9×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
6×	`add-log-exp_binary64_117` `cancel-sign-sub-inv_binary64_44`
4×	`add-cbrt-cube_binary64_114` `cbrt-div_binary64_110` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`pow1/3_binary64_160`
2×	`flip-+_binary64_52` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `sub-neg_binary64_71`

Counts

4 → 56

Calls

8 calls:

14.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)
0.0ms	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))

series251.0ms (6.2%)

Counts

4 → 30

Calls

4 calls:

85.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
74.0ms	(cbrt.f64 x)
47.0ms	(cbrt.f64 (+.f64 x 1))
44.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 911 to 797 computations (12.5% saved)

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4876	1114
1	4876	1114

prune120.0ms (3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Error

7.1b

Counts

93 → 9

Compiler

Compiled 2017 to 1488 computations (26.2% saved)

localize21.0ms (0.5%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6))
0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
0.2b	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))
0.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)
0.7b	(cbrt.f64 x)
9.8b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64_109`
16×	`*-un-lft-identity_binary64_78`
12×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
10×	`unpow-prod-down_binary64_157`
6×	`add-log-exp_binary64_117` `cancel-sign-sub-inv_binary64_44`
5×	`add-exp-log_binary64_116` `pow1_binary64_139`
4×	`add-cbrt-cube_binary64_114`
3×	`pow1/3_binary64_160` `pow-unpow_binary64_155`
2×	`cbrt-div_binary64_110` `pow-pow_binary64_150` `distribute-lft-out_binary64_29`
1×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `flip-+_binary64_52` `flip3--_binary64_82` `diff-log_binary64_170` `sqr-pow_binary64_50` `flip--_binary64_53` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

4 → 67

Calls

8 calls:

12.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)
0.0ms	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1))))))

series508.0ms (12.5%)

Counts

4 → 30

Calls

4 calls:

281.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)
91.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))
83.0ms	(cbrt.f64 x)
53.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 1149 to 1009 computations (12.2% saved)

simplify99.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4873	1269
1	4873	1269

prune169.0ms (4.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	97	9	106

Error

7.1b

Counts

106 → 9

Compiler

Compiled 2880 to 2258 computations (21.6% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	217	586
1	217	586

regimes115.0ms (2.9%)

Compiler: Compiled 786 to 654 computations (16.8% saved)

bsearch36.0ms (0.9%)

Steps

Iters	Range		Point
10	3.3112572332008803e-22	4.770395425546195e-09	1.564235003885954e-09
10	-2293687748.3617687	-0.1827838060324987	-1.00567900631919

Compiler

Compiled 1 to 1 computations (0% saved)

regimes69.0ms (1.7%)

Compiler: Compiled 292 to 260 computations (11% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

regimes55.0ms (1.4%)

Compiler: Compiled 168 to 154 computations (8.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

regimes47.0ms (1.2%)

Compiler: Compiled 124 to 118 computations (4.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

regimes26.0ms (0.6%)

Compiler: Compiled 37 to 36 computations (2.7% saved)

bsearch29.0ms (0.7%)

Steps

Iters	Range		Point
9	0.0005097865239949307	881.2756568905111	1.0086120422635954
10	-2293687748.3617687	-0.1827838060324987	-3.3588118567937144

Compiler

Compiled 1 to 1 computations (0% saved)

regimes23.0ms (0.6%)

Compiler: Compiled 25 to 26 computations (-4% saved)

bsearch27.0ms (0.7%)

Steps

Iters	Range		Point
9	0.0005097865239949307	881.2756568905111	1.0086120422635954
10	-2293687748.3617687	-0.1827838060324987	-1.00567900631919

Compiler

Compiled 1 to 1 computations (0% saved)

regimes22.0ms (0.5%)

Compiler: Compiled 17 to 19 computations (-11.8% saved)

bsearch26.0ms (0.6%)

Steps

Iters	Range		Point
9	0.0005097865239949307	881.2756568905111	0.46945693436754216
10	-2293687748.3617687	-0.1827838060324987	-1.00567900631919

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.2%)

Compiler: Compiled 9 to 12 computations (-33.3% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.2%)

Accuracy

Total 0.5b remaining (5.3%)

Threshold costs 0.5b (5.3%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch14.0ms (0.3%)

Compiler: Compiled 238 to 185 computations (22.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	130	332
1	130	332

end0.0ms (0%)

sample1.2s (29.3%)

Algorithm

1×

intervals

Results

176.0ms	1980×	body	1024	valid
106.0ms	4263×	body	128	valid
71.0ms	1036×	body	512	valid
25.0ms	216×	body	2048	valid
22.0ms	505×	body	256	valid

Compiler

Compiled 589 to 481 computations (18.3% saved)

Pareto

0.16754680144994652

Details

analyze1.0ms (0%)

sample19.0ms (0.5%)

simplify100.0ms (2.5%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite16.0ms (0.4%)

series200.0ms (4.9%)

simplify78.0ms (1.9%)

prune90.0ms (2.2%)

localize10.0ms (0.2%)

rewrite35.0ms (0.9%)

series261.0ms (6.4%)

simplify88.0ms (2.2%)

prune114.0ms (2.8%)

localize11.0ms (0.3%)

rewrite26.0ms (0.6%)

series251.0ms (6.2%)

simplify86.0ms (2.1%)

prune120.0ms (3%)

localize21.0ms (0.5%)

rewrite30.0ms (0.7%)

series508.0ms (12.5%)

simplify99.0ms (2.4%)

prune169.0ms (4.2%)

simplify11.0ms (0.3%)

regimes115.0ms (2.9%)

bsearch36.0ms (0.9%)

regimes69.0ms (1.7%)

bsearch1.0ms (0%)

regimes55.0ms (1.4%)

bsearch1.0ms (0%)

regimes47.0ms (1.2%)

bsearch1.0ms (0%)

regimes26.0ms (0.6%)

bsearch29.0ms (0.7%)

regimes23.0ms (0.6%)

bsearch27.0ms (0.7%)

regimes22.0ms (0.5%)

bsearch26.0ms (0.6%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

regimes7.0ms (0.2%)

bsearch14.0ms (0.3%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.2s (29.3%)

Profiling