Details

analyze381.0ms (9.8%)

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
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample31.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	81×	body	1024	valid
6.0ms	42×	body	2048	valid
3.0ms	36×	body	512	valid
2.0ms	74×	body	128	valid
1.0ms	23×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify115.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 45.5b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
11.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_1822`
10×	`*-un-lft-identity_binary64_1783`
5×	`add-sqr-sqrt_binary64_1805`
4×	`cancel-sign-sub-inv_binary64_1749` `sum-log_binary64_1874`
3×	`add-cube-cbrt_binary64_1818` `diff-log_binary64_1875`
2×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735` `pow1_binary64_1844`
1×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `+-commutative_binary64_1713` `flip-+_binary64_1757` `flip3-+_binary64_1786` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719`

Counts

2 → 32

Calls

2 calls:

8.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
4.0ms	(+.f64 (*.f64 x y) z)

series57.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

38.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
19.0ms	(+.f64 (*.f64 x y) z)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5156	667

prune41.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	7	39

Merged error: 45.0b

Counts

39 → 7

Compiler

Compiled 812 to 311 computations (61.7% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 z (*.f64 x y))
11.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_1822`
10×	`*-un-lft-identity_binary64_1783`
5×	`add-sqr-sqrt_binary64_1805`
4×	`cancel-sign-sub-inv_binary64_1749` `sum-log_binary64_1874`
3×	`add-cube-cbrt_binary64_1818` `diff-log_binary64_1875`
2×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735` `pow1_binary64_1844`
1×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `+-commutative_binary64_1713` `flip-+_binary64_1757` `flip3-+_binary64_1786` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719`

Counts

2 → 32

Calls

2 calls:

8.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
3.0ms	(+.f64 z (*.f64 x y))

series63.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
23.0ms	(+.f64 z (*.f64 x y))

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5132	661

prune45.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	35	10	45

Merged error: 44.9b

Counts

45 → 10

Compiler

Compiled 987 to 467 computations (52.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.8b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`cbrt-prod_binary64_1814` `add-log-exp_binary64_1822`
8×	`add-cube-cbrt_binary64_1818`
6×	`cbrt-div_binary64_1815`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
3×	`flip-+_binary64_1757` `cancel-sign-sub-inv_binary64_1749` `flip3-+_binary64_1786` `pow1/3_binary64_1865`
2×	`diff-log_binary64_1875`
1×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `sum-log_binary64_1874` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719`

Counts

4 → 57

Calls

4 calls:

5.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

series349.0ms (9%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
101.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
98.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
41.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

simplify114.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4869	1238
1	4869	1238

prune95.0ms (2.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	59	10	69
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	61	18	79

Merged error: 44.8b

Counts

79 → 18

Compiler

Compiled 2571 to 750 computations (70.8% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

9.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.3b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`cbrt-prod_binary64_1814` `add-log-exp_binary64_1822`
8×	`add-cube-cbrt_binary64_1818`
6×	`cbrt-div_binary64_1815`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
3×	`flip-+_binary64_1757` `cancel-sign-sub-inv_binary64_1749` `flip3-+_binary64_1786` `pow1/3_binary64_1865`
2×	`diff-log_binary64_1875`
1×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `sum-log_binary64_1874` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719`

Counts

4 → 57

Calls

4 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

series351.0ms (9%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
101.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
99.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
49.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4944	1184
1	4944	1184

prune84.0ms (2.2%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	1	14	15
Picked	1	0	1
Done	0	2	2
Total	66	21	87

Merged error: 44.8b

Counts

87 → 21

Compiler

Compiled 2877 to 576 computations (80% saved)

regimes249.0ms (6.4%)

Compiler: Compiled 4146 to 1964 computations (52.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	98	22
1	98	22

end0.0ms (0%)

sample1.6s (40.7%)

Algorithm

1×

intervals

Results

331.0ms	2676×	body	1024	valid
186.0ms	1198×	body	2048	valid
117.0ms	1278×	body	512	valid
84.0ms	2279×	body	128	valid
36.0ms	568×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 1058 to 511 computations (51.7% saved)

Details

analyze381.0ms (9.8%)

sample31.0ms (0.8%)

simplify115.0ms (3%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite14.0ms (0.4%)

series57.0ms (1.5%)

simplify62.0ms (1.6%)

prune41.0ms (1.1%)

localize11.0ms (0.3%)

rewrite13.0ms (0.3%)

series63.0ms (1.6%)

simplify62.0ms (1.6%)

prune45.0ms (1.1%)

localize12.0ms (0.3%)

rewrite18.0ms (0.5%)

series349.0ms (9%)

simplify114.0ms (2.9%)

prune95.0ms (2.4%)

localize17.0ms (0.4%)

rewrite22.0ms (0.6%)

series351.0ms (9%)

simplify85.0ms (2.2%)

prune84.0ms (2.2%)

regimes249.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (40.7%)

Profiling