Details

analyze509.0ms (8.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	52
1	87	52
0	3	3
1	3	3

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	247×	body	128	valid
1.0ms	25×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	4×	body	256	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
4×	`add-log-exp_binary64_14439` `pow1_binary64_14461` `add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `add-cube-cbrt_binary64_14435` `associate-r_binary64_14340`
3×	`associate-l_binary64_14341`
2×	`flip3-+_binary64_14403` `flip-+_binary64_14374` `distribute-rgt-in_binary64_14350` `associate-+l+_binary64_14333` `distribute-lft-in_binary64_14349` `associate-*r/_binary64_14342`
1×	`sum-log_binary64_14491` `+-commutative_binary64_14330` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368` `distribute-lft-out_binary64_14351` `*-commutative_binary64_14331`

Counts

2 → 36

Calls

2 calls:

9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
6.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 583 to 248 computations (57.5% saved)

series310.0ms (5.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

190.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
99.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 738 to 501 computations (32.1% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5032	713

prune59.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Error

0.0b

Counts

70 → 5

Compiler

Compiled 835 to 358 computations (57.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 5 x))
0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
4×	`add-log-exp_binary64_14439` `pow1_binary64_14461` `add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `add-cube-cbrt_binary64_14435` `associate-r_binary64_14340`
3×	`associate-l_binary64_14341`
2×	`flip3-+_binary64_14403` `flip-+_binary64_14374` `distribute-rgt-in_binary64_14350` `associate-+r+_binary64_14332` `distribute-lft-in_binary64_14349` `associate-*r/_binary64_14342`
1×	`sum-log_binary64_14491` `+-commutative_binary64_14330` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368` `distribute-lft-out_binary64_14351` `*-commutative_binary64_14331`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 z (+.f64 5 x))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))

Compiler

Compiled 583 to 317 computations (45.6% saved)

series214.0ms (3.6%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

139.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
61.0ms	(*.f64 z (+.f64 5 x))

Compiler

Compiled 597 to 408 computations (31.7% saved)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4950	686
1	4950	686

prune73.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	64	4	68

Error

0.0b

Counts

68 → 4

Compiler

Compiled 787 to 388 computations (50.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 25 (*.f64 x x))
0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x)))
3.1b	(.f64 z (-.f64 25 (.f64 x x)))
7.0b	(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))

rewrite131.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_14422`
12×	`*-un-lft-identity_binary64_14400`
11×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
8×	`add-log-exp_binary64_14439` `add-cube-cbrt_binary64_14435`
6×	`pow1_binary64_14461`
5×	`times-frac_binary64_14406` `associate-/r*_binary64_14344`
4×	`difference-of-squares_binary64_14369` `flip3--_binary64_14404` `associate-r/_binary64_14342` `flip--_binary64_14375` `associate-r*_binary64_14340`
3×	`sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366` `associate-l_binary64_14341`
2×	`prod-exp_binary64_14449` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `cbrt-unprod_binary64_14433` `distribute-lft-out--_binary64_14352` `associate-/l/_binary64_14347` `associate-/r/_binary64_14346` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `associate-/l_binary64_14345` `pow-prod-down_binary64_14471` `unswap-sqr_binary64_14368` `-commutative_binary64_14331` `sum-log_binary64_14491` `flip3-+_binary64_14403` `flip-+_binary64_14374` `+-commutative_binary64_14330` `diff-log_binary64_14492`

Counts

4 → 78

Calls

4 calls:

14.0ms	(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
9.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x)))
8.0ms	(.f64 z (-.f64 25 (.f64 x x)))
3.0ms	(-.f64 25 (*.f64 x x))

Compiler

Compiled 1867 to 982 computations (47.4% saved)

series817.0ms (13.7%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

497.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x)))
144.0ms	(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
99.0ms	(.f64 z (-.f64 25 (.f64 x x)))
43.0ms	(-.f64 25 (*.f64 x x))

Compiler

Compiled 1490 to 1111 computations (25.4% saved)

simplify118.0ms (2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4930	1795
1	4930	1795

prune126.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	119	5	124

Error

0.0b

Counts

124 → 5

Compiler

Compiled 2217 to 1140 computations (48.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 25 (*.f64 x x))
0.0b	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (.f64 x x)))))
0.3b	(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
7.1b	(/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x)))

rewrite338.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

178×	`times-frac_binary64_14406`
151×	`add-sqr-sqrt_binary64_14422`
124×	`*-un-lft-identity_binary64_14400`
82×	`add-cube-cbrt_binary64_14435`
48×	`difference-of-squares_binary64_14369`
30×	`associate-/r*_binary64_14344`
21×	`distribute-lft-out--_binary64_14352`
11×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `associate-/r/_binary64_14346`
8×	`add-log-exp_binary64_14439` `associate-/l*_binary64_14345`
7×	`flip3--_binary64_14404` `flip--_binary64_14375`
6×	`div-inv_binary64_14397`
4×	`pow1_binary64_14461` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434`
2×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/l/_binary64_14347`
1×	`div-sub_binary64_14405` `sum-log_binary64_14491` `flip3-+_binary64_14403` `flip-+_binary64_14374` `+-commutative_binary64_14330` `diff-log_binary64_14492` `sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366`

Counts

4 → 192

Calls

4 calls:

25.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (.f64 x x)))))
20.0ms	(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
8.0ms	(/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x)))
3.0ms	(-.f64 25 (*.f64 x x))

Compiler

Compiled 5449 to 3016 computations (44.7% saved)

series788.0ms (13.2%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

504.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (.f64 x x)))))
148.0ms	(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
49.0ms	(/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x)))
38.0ms	(-.f64 25 (*.f64 x x))

Compiler

Compiled 1549 to 1168 computations (24.6% saved)

simplify109.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4978	5689
1	4978	5689

prune279.0ms (4.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	236	5	241

Error

0.0b

Counts

241 → 5

Compiler

Compiled 5455 to 2906 computations (46.7% saved)

regimes296.0ms (5%)

Accuracy

Total 0.1b remaining (97.7%)

Threshold costs 0.1b (97.7%)

Compiler

Compiled 2470 to 1896 computations (23.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.4s (24.1%)

Algorithm

1×

intervals

Results

302.0ms	7705×	body	128	valid
25.0ms	686×	body	128	invalid
20.0ms	155×	body	1024	valid
8.0ms	83×	body	512	valid
4.0ms	57×	body	256	valid

Compiler

Compiled 612 to 475 computations (22.4% saved)

Details

analyze509.0ms (8.5%)

sample18.0ms (0.3%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite60.0ms (1%)

series310.0ms (5.2%)

simplify84.0ms (1.4%)

prune59.0ms (1%)

localize12.0ms (0.2%)

rewrite55.0ms (0.9%)

series214.0ms (3.6%)

simplify97.0ms (1.6%)

prune73.0ms (1.2%)

localize11.0ms (0.2%)

rewrite131.0ms (2.2%)

series817.0ms (13.7%)

simplify118.0ms (2%)

prune126.0ms (2.1%)

localize12.0ms (0.2%)

rewrite338.0ms (5.7%)

series788.0ms (13.2%)

simplify109.0ms (1.8%)

prune279.0ms (4.7%)

regimes296.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (24.1%)

Profiling