Details

analyze691.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	70
1	314	70
0	4	4
1	4	4

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)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	45×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	158	10
1	158	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_1822`
1×	`diff-log_binary64_1875` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `flip3--_binary64_1787` `*-un-lft-identity_binary64_1783` `sub-neg_binary64_1776` `flip--_binary64_1758` `cancel-sign-sub-inv_binary64_1749`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

Compiler

Compiled 187 to 46 computations (75.4% saved)

series157.0ms (2.1%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

147.0ms

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

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4946	379
1	4946	379

prune19.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

0.0b

Counts

37 → 2

Compiler

Compiled 317 to 52 computations (83.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 t z) (*.f64 t z))
0.3b	(.f64 (.f64 x y) (*.f64 x y))
0.9b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
22.5b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (+.f64 (.f64 t z) (.f64 x y)))

rewrite142.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`pow1_binary64_1844`
34×	`pow-prod-down_binary64_1854`
30×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
16×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
13×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
12×	`times-frac_binary64_1789`
8×	`pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
6×	`add-log-exp_binary64_1822`
5×	`difference-of-squares_binary64_1752`
4×	`associate-/l*_binary64_1728` `pow-plus_binary64_1846`
3×	`associate-/r*_binary64_1727`
2×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `flip--_binary64_1758` `associate-/r/_binary64_1729` `pow2_binary64_1864` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723` `*-commutative_binary64_1714`
1×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`

Counts

4 → 117

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (+.f64 (.f64 t z) (.f64 x y)))
9.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
6.0ms	(.f64 (.f64 t z) (*.f64 t z))
6.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 3865 to 504 computations (87% saved)

series1.0s (13.4%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

445.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (+.f64 (.f64 t z) (.f64 x y)))
373.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
77.0ms	(.f64 (.f64 t z) (*.f64 t z))
67.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 2388 to 1558 computations (34.8% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4977	2514
1	4977	2514

prune135.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	176	3	179

Error

Counts

179 → 3

Compiler

Compiled 3863 to 966 computations (75% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(/.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y)))))
1.5b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.5b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.5b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite123.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-div_binary64_1815`
10×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
9×	`add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `cbrt-prod_binary64_1814` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
8×	`associate-/r/_binary64_1729`
7×	`pow1/3_binary64_1865` `add-cbrt-cube_binary64_1819`
6×	`pow1_binary64_1844`
4×	`add-log-exp_binary64_1822` `frac-times_binary64_1793`
3×	`times-frac_binary64_1789` `associate-/l*_binary64_1728`
2×	`pow-div_binary64_1858` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 72

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 4027 to 364 computations (91% saved)

series1.6s (21.1%)

Error

Counts

4 → 104

Calls

4 calls:

375.0ms	(/.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y)))))
353.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
349.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
348.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 15168 to 7278 computations (52% saved)

simplify94.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4973	4987
1	4973	4987

prune230.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	176	3	179

Error

Counts

179 → 3

Compiler

Compiled 8693 to 1566 computations (82% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 t z) (*.f64 t z))
0.3b	(.f64 (.f64 x y) (*.f64 x y))
0.9b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
22.8b	(.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (/.f64 1 (+.f64 (.f64 t z) (*.f64 x y))))

rewrite169.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

84×	`pow1_binary64_1844`
37×	`add-exp-log_binary64_1821`
35×	`pow-prod-down_binary64_1854`
33×	`add-cbrt-cube_binary64_1819`
20×	`prod-exp_binary64_1832`
19×	`add-sqr-sqrt_binary64_1805`
18×	`cbrt-unprod_binary64_1816`
17×	`associate-r_binary64_1723`
13×	`*-un-lft-identity_binary64_1783`
12×	`add-cube-cbrt_binary64_1818`
11×	`times-frac_binary64_1789`
8×	`pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
6×	`add-log-exp_binary64_1822` `associate-l_binary64_1724`
4×	`pow-plus_binary64_1846`
3×	`flip3--_binary64_1787` `flip--_binary64_1758` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`
2×	`div-exp_binary64_1834` `frac-times_binary64_1793` `associate-*l/_binary64_1726` `difference-of-squares_binary64_1752` `associate-/r/_binary64_1729` `pow2_binary64_1864` `swap-sqr_binary64_1750`
1×	`1-exp_binary64_1827` `rec-exp_binary64_1833` `cbrt-undiv_binary64_1817` `un-div-inv_binary64_1781` `associate-*r/_binary64_1725` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749`

Counts

4 → 124

Calls

4 calls:

17.0ms	(.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (/.f64 1 (+.f64 (.f64 t z) (*.f64 x y))))
8.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
7.0ms	(.f64 (.f64 t z) (*.f64 t z))
6.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 4363 to 853 computations (80.4% saved)

series1.0s (13.6%)

Error

Counts

4 → 60

Calls

4 calls:

464.0ms	(.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (/.f64 1 (+.f64 (.f64 t z) (*.f64 x y))))
365.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
79.0ms	(.f64 (.f64 t z) (*.f64 t z))
71.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 2580 to 1750 computations (32.2% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6021	2339

prune149.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	184	3	187

Error

Counts

187 → 3

Compiler

Compiled 4083 to 1186 computations (71% saved)

regimes273.0ms (3.6%)

Accuracy

Total 0.0b remaining (48.1%)

Threshold costs 0.0b (48.1%)

Compiler

Compiled 3737 to 1928 computations (48.4% saved)

bsearch0.0ms (0%)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample1.3s (17.9%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	128	valid
33.0ms	1347×	body	128	invalid

Compiler

Compiled 544 to 285 computations (47.6% saved)

Details

analyze691.0ms (9.2%)

sample34.0ms (0.4%)

simplify14.0ms (0.2%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite13.0ms (0.2%)

series157.0ms (2.1%)

simplify71.0ms (0.9%)

prune19.0ms (0.3%)

localize11.0ms (0.2%)

rewrite142.0ms (1.9%)

series1.0s (13.4%)

simplify77.0ms (1%)

prune135.0ms (1.8%)

localize13.0ms (0.2%)

rewrite123.0ms (1.6%)

series1.6s (21.1%)

simplify94.0ms (1.3%)

prune230.0ms (3.1%)

localize11.0ms (0.1%)

rewrite169.0ms (2.3%)

series1.0s (13.6%)

simplify80.0ms (1.1%)

prune149.0ms (2%)

regimes273.0ms (3.6%)

bsearch0.0ms (0%)

simplify24.0ms (0.3%)

end0.0ms (0%)

sample1.3s (17.9%)

Profiling