Details

analyze102.0ms (2.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	73×	body	1024	valid
4.0ms	131×	body	128	valid
3.0ms	37×	body	512	valid
1.0ms	5×	body	2048	valid
0.0ms	10×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

Error

31.8b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
2.9b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite62.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

31.2b

Rules

15×	`sqrt-prod_binary64_1799`
14×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749`
5×	`add-cube-cbrt_binary64_1818`
4×	`add-log-exp_binary64_1822` `difference-of-squares_binary64_1752`
3×	`pow1_binary64_1844` `distribute-lft-out--_binary64_1735`
2×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `distribute-lft-out_binary64_1734` `sqrt-div_binary64_1800`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `flip3-+_binary64_1786` `flip-+_binary64_1757` `rem-sqrt-square_binary64_1796`

Counts

2 → 40

Calls

2 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 571 to 370 computations (35.2% saved)

series54.0ms (1.1%)

Error

31.0b

Counts

2 → 9

Calls

2 calls:

29.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
18.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 245 to 193 computations (21.2% saved)

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4932	589
1	4932	589

prune49.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Error

0.2b

Counts

50 → 5

Compiler

Compiled 627 to 416 computations (33.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

rewrite113.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`*-un-lft-identity_binary64_1783`
24×	`sqrt-prod_binary64_1799`
21×	`distribute-lft-out_binary64_1734`
18×	`times-frac_binary64_1789`
16×	`add-sqr-sqrt_binary64_1805`
15×	`add-cube-cbrt_binary64_1818`
7×	`add-exp-log_binary64_1821`
6×	`associate-/r*_binary64_1727`
5×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l*_binary64_1728`
2×	`div-exp_binary64_1834` `associate-/r/_binary64_1729` `sqrt-div_binary64_1800`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857` `1-exp_binary64_1827` `rec-exp_binary64_1833` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `sum-log_binary64_1874` `+-commutative_binary64_1713` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

3 → 75

Calls

3 calls:

10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 1268 to 926 computations (27% saved)

series53.0ms (1.1%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

17.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
17.0ms	(sqrt.f64 (+.f64 1 x))
14.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 268 to 232 computations (13.4% saved)

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4859	1227
1	4859	1227

prune91.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	83	9	92

Error

0.0b

Counts

92 → 9

Compiler

Compiled 1349 to 987 computations (26.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
0.3b	(cbrt.f64 (+.f64 1 x))
0.3b	(cbrt.f64 (+.f64 1 x))

rewrite169.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
18×	`add-cube-cbrt_binary64_1818`
13×	`cbrt-prod_binary64_1814`
10×	`add-exp-log_binary64_1821` `associate-r_binary64_1723`
9×	`sqrt-prod_binary64_1799` `times-frac_binary64_1789`
8×	`add-cbrt-cube_binary64_1819`
7×	`pow1_binary64_1844`
6×	`cbrt-div_binary64_1815`
4×	`add-log-exp_binary64_1822` `flip3-+_binary64_1786` `flip-+_binary64_1757`
3×	`distribute-lft-out_binary64_1734` `unswap-sqr_binary64_1751` `associate-l_binary64_1724` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`pow1/3_binary64_1865` `sqrt-div_binary64_1800` `associate-*r/_binary64_1725` `div-exp_binary64_1834` `associate-/r/_binary64_1729`
1×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714` `inv-pow_binary64_1868` `pow-flip_binary64_1857` `1-exp_binary64_1827` `rec-exp_binary64_1833` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

4 → 90

Calls

4 calls:

11.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
9.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 2392 to 1869 computations (21.9% saved)

series314.0ms (6.5%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

101.0ms	(/.f64 1 (+.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
79.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
50.0ms	(cbrt.f64 (+.f64 1 x))
42.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1892 to 1612 computations (14.8% saved)

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4840	2640
1	4840	2640

prune177.0ms (3.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	118	11	129

Error

0.0b

Counts

129 → 11

Compiler

Compiled 3045 to 2350 computations (22.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))

rewrite310.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

103×	`cbrt-prod_binary64_1814`
42×	`*-un-lft-identity_binary64_1783`
40×	`add-sqr-sqrt_binary64_1805`
36×	`cbrt-div_binary64_1815`
22×	`add-cube-cbrt_binary64_1818`
12×	`swap-sqr_binary64_1750`
11×	`pow1_binary64_1844`
10×	`associate-l_binary64_1724` `associate-r_binary64_1723`
9×	`pow1/3_binary64_1865` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `unswap-sqr_binary64_1751`
6×	`add-exp-log_binary64_1821`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `frac-times_binary64_1793`
2×	`pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`

Counts

4 → 118

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))

Compiler

Compiled 4509 to 3650 computations (19.1% saved)

series301.0ms (6.2%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

74.0ms	(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
54.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
51.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
49.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))

Compiler

Compiled 2959 to 2501 computations (15.5% saved)

simplify108.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4855	2796
1	4855	2796

prune321.0ms (6.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	157	11	168

Error

0.0b

Counts

168 → 11

Compiler

Compiled 5447 to 4375 computations (19.7% saved)

regimes246.0ms (5.1%)

Accuracy

Total 0.2b remaining (89.9%)

Threshold costs 0.2b (89.9%)

Compiler

Compiled 3021 to 2431 computations (19.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end0.0ms (0%)

sample2.1s (42.8%)

Algorithm

1×

intervals

Results

205.0ms	2025×	body	1024	valid
128.0ms	4266×	body	128	valid
82.0ms	994×	body	512	valid
27.0ms	212×	body	2048	valid
25.0ms	503×	body	256	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 1475 to 1190 computations (19.3% saved)

Details

analyze102.0ms (2.1%)

sample22.0ms (0.5%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite62.0ms (1.3%)

series54.0ms (1.1%)

simplify36.0ms (0.7%)

prune49.0ms (1%)

localize6.0ms (0.1%)

rewrite113.0ms (2.3%)

series53.0ms (1.1%)

simplify93.0ms (1.9%)

prune91.0ms (1.9%)

localize10.0ms (0.2%)

rewrite169.0ms (3.5%)

series314.0ms (6.5%)

simplify97.0ms (2%)

prune177.0ms (3.7%)

localize14.0ms (0.3%)

rewrite310.0ms (6.4%)

series301.0ms (6.2%)

simplify108.0ms (2.2%)

prune321.0ms (6.6%)

regimes246.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (42.8%)

Profiling