Details

analyze167.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	26
1	67	26
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 16 to 8 computations (50% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

prune8.0ms (0.2%)

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 → 2

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.2b	(.f64 y (.f64 y 3))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
4×	`add-log-exp_binary64_15462`
3×	`pow-prod-down_binary64_15494` `prod-exp_binary64_15472` `add-cube-cbrt_binary64_15458` `cbrt-unprod_binary64_15456` `add-sqr-sqrt_binary64_15445` `-un-lft-identity_binary64_15423` `associate-l*_binary64_15364`
1×	`associate-r_binary64_15363` `*-commutative_binary64_15354` `sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `+-commutative_binary64_15353`

Counts

2 → 29

Calls

2 calls:

5.0ms	(.f64 y (.f64 y 3))
4.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))

Compiler

Compiled 476 to 252 computations (47.1% saved)

series143.0ms (3.6%)

Error

0.1b

Counts

2 → 15

Calls

2 calls:

109.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
25.0ms	(.f64 y (.f64 y 3))

Compiler

Compiled 291 to 264 computations (9.3% saved)

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4949	482
1	4949	482

prune36.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Error

0.0b

Counts

46 → 7

Compiler

Compiled 587 to 293 computations (50.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-log-exp_binary64_15462`
9×	`sum-log_binary64_15514`
2×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445` `flip3-+_binary64_15426` `*-un-lft-identity_binary64_15423` `flip-+_binary64_15397` `associate-+l+_binary64_15356` `+-commutative_binary64_15353`

Counts

2 → 27

Calls

2 calls:

12.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))

Compiler

Compiled 740 to 97 computations (86.9% saved)

series229.0ms (5.8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

113.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
101.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))

Compiler

Compiled 540 to 447 computations (17.2% saved)

simplify95.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4849	709
1	4849	709

prune39.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	50	8	58

Error

0.0b

Counts

58 → 8

Compiler

Compiled 800 to 302 computations (62.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y))))) (.f64 y y))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y)))))
5.2b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))
5.2b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))

rewrite189.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_15445`
24×	`sqrt-prod_binary64_15439`
21×	`pow1_binary64_15484`
16×	`sqrt-div_binary64_15440`
14×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
10×	`pow1/2_binary64_15503` `sqrt-pow1_binary64_15441`
9×	`flip3-+_binary64_15426` `flip-+_binary64_15397`
8×	`swap-sqr_binary64_15390`
6×	`add-log-exp_binary64_15462` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `associate-l_binary64_15364` `associate-r_binary64_15363`
5×	`pow-prod-up_binary64_15493`
4×	`rem-sqrt-square_binary64_15436` `frac-times_binary64_15433` `unswap-sqr_binary64_15391`
3×	`pow-prod-down_binary64_15494` `pow-sqr_binary64_15396`
2×	`associate-l/_binary64_15366` `associate-r/_binary64_15365`
1×	`pow2_binary64_15504` `pow-plus_binary64_15486` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `sqrt-unprod_binary64_15443` `sqr-abs_binary64_15438` `rem-square-sqrt_binary64_15435` `*-commutative_binary64_15354` `sum-log_binary64_15514` `+-commutative_binary64_15353`

Counts

4 → 99

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y)))))
13.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y))))) (.f64 y y))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))

Compiler

Compiled 4003 to 1786 computations (55.4% saved)

series509.0ms (12.9%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

126.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))
121.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y))))
111.0ms	(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y))))) (.f64 y y))
105.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 x x) (.f64 2 (*.f64 y y)))))

Compiler

Compiled 2590 to 1834 computations (29.2% saved)

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5179	2705

prune160.0ms (4.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	151	8	159

Error

0.0b

Counts

159 → 8

Compiler

Compiled 3708 to 1733 computations (53.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite72.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_15454`
23×	`add-sqr-sqrt_binary64_15445`
15×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
11×	`pow1_binary64_15484`
9×	`pow1/3_binary64_15505`
6×	`add-exp-log_binary64_15461` `swap-sqr_binary64_15390` `associate-l_binary64_15364` `associate-r_binary64_15363`
4×	`add-log-exp_binary64_15462` `add-cbrt-cube_binary64_15459` `unswap-sqr_binary64_15391`
2×	`pow-prod-down_binary64_15494` `pow-prod-up_binary64_15493` `pow-sqr_binary64_15396`
1×	`pow2_binary64_15504` `pow-plus_binary64_15486` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `*-commutative_binary64_15354`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1524 to 526 computations (65.5% saved)

series327.0ms (8.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
82.0ms	(cbrt.f64 y)
74.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 y)

Compiler

Compiled 663 to 455 computations (31.4% saved)

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune69.0ms (1.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	85	8	93

Error

Counts

93 → 8

Compiler

Compiled 1573 to 641 computations (59.2% saved)

regimes524.0ms (13.3%)

Accuracy

Total 0.1b remaining (95%)

Threshold costs 0.1b (95%)

Compiler

Compiled 3580 to 2376 computations (33.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	19
1	13	19

end0.0ms (0%)

sample984.0ms (25%)

Algorithm

1×

intervals

Results

234.0ms	8000×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 594 to 398 computations (33% saved)

Details

analyze167.0ms (4.3%)

sample16.0ms (0.4%)

simplify9.0ms (0.2%)

prune8.0ms (0.2%)

localize5.0ms (0.1%)

rewrite36.0ms (0.9%)

series143.0ms (3.6%)

simplify78.0ms (2%)

prune36.0ms (0.9%)

localize6.0ms (0.2%)

rewrite42.0ms (1.1%)

series229.0ms (5.8%)

simplify95.0ms (2.4%)

prune39.0ms (1%)

localize9.0ms (0.2%)

rewrite189.0ms (4.8%)

series509.0ms (12.9%)

simplify85.0ms (2.2%)

prune160.0ms (4.1%)

localize9.0ms (0.2%)

rewrite72.0ms (1.8%)

series327.0ms (8.3%)

simplify79.0ms (2%)

prune69.0ms (1.8%)

regimes524.0ms (13.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample984.0ms (25%)

Profiling