Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	229×	body	128	valid
2.0ms	14×	body	1024	valid
1.0ms	7×	body	512	valid
0.0ms	6×	body	256	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify151.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10

prune6.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 6 (*.f64 x -9))
0.1b	(.f64 x (+.f64 6 (.f64 x -9)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_11694`
4×	`pow1_binary64_11733` `add-log-exp_binary64_11711` `add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
3×	`associate-r_binary64_11612` `associate-l_binary64_11613`
2×	`flip-+_binary64_11646` `flip3-+_binary64_11675` `associate-*r/_binary64_11614`
1×	`cbrt-unprod_binary64_11705` `sum-log_binary64_11763` `+-commutative_binary64_11602` `distribute-lft-in_binary64_11621` `unswap-sqr_binary64_11640` `prod-exp_binary64_11721` `distribute-rgt-in_binary64_11622` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
3.0ms	(+.f64 6 (*.f64 x -9))

series71.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
31.0ms	(+.f64 6 (*.f64 x -9))

simplify82.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5088	455

prune44.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	9	41

Error

0.0b

Counts

41 → 9

Compiler

Compiled 584 to 450 computations (22.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_11703`
23×	`add-sqr-sqrt_binary64_11694`
15×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
11×	`pow1_binary64_11733`
9×	`pow1/3_binary64_11754`
6×	`associate-r_binary64_11612` `add-exp-log_binary64_11710` `swap-sqr_binary64_11639` `associate-l_binary64_11613`
4×	`add-log-exp_binary64_11711` `unswap-sqr_binary64_11640` `add-cbrt-cube_binary64_11708`
2×	`pow-sqr_binary64_11645` `pow-prod-up_binary64_11742` `pow-prod-down_binary64_11743`
1×	`cbrt-unprod_binary64_11705` `pow2_binary64_11753` `prod-exp_binary64_11721` `*-commutative_binary64_11603` `pow-plus_binary64_11735`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series511.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
130.0ms	(cbrt.f64 x)
116.0ms	(cbrt.f64 x)
110.0ms	(cbrt.f64 x)

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune96.0ms (2.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	84	10	94

Error

0.0b

Counts

94 → 10

Compiler

Compiled 1546 to 847 computations (45.2% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))))
0.6b	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
0.6b	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
0.6b	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_11614`
18×	`cbrt-div_binary64_11704`
11×	`pow1_binary64_11733`
10×	`add-sqr-sqrt_binary64_11694`
9×	`flip-+_binary64_11646` `flip3-+_binary64_11675` `pow1/3_binary64_11754`
8×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
7×	`cbrt-prod_binary64_11703`
6×	`add-exp-log_binary64_11710`
4×	`associate-r_binary64_11612` `add-log-exp_binary64_11711` `frac-times_binary64_11682` `swap-sqr_binary64_11639` `associate-l_binary64_11613` `add-cbrt-cube_binary64_11708`
2×	`pow-sqr_binary64_11645` `associate-*l/_binary64_11615` `pow-prod-up_binary64_11742` `pow-prod-down_binary64_11743`
1×	`cbrt-unprod_binary64_11705` `pow2_binary64_11753` `unswap-sqr_binary64_11640` `prod-exp_binary64_11721` `*-commutative_binary64_11603` `pow-plus_binary64_11735`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))))
5.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

series236.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))))
58.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
56.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
56.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5360	1793

prune227.0ms (6.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	82	12	94

Error

0.0b

Counts

94 → 12

Compiler

Compiled 2843 to 2257 computations (20.6% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_11703`
11×	`add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
9×	`unpow-prod-down_binary64_11751`
5×	`pow1_binary64_11733` `add-exp-log_binary64_11710`
4×	`add-log-exp_binary64_11711` `pow1/3_binary64_11754` `add-cbrt-cube_binary64_11708`
3×	`pow-unpow_binary64_11749`
2×	`pow-pow_binary64_11744`
1×	`pow-exp_binary64_11740` `pow-to-exp_binary64_11741` `sqr-pow_binary64_11644`

Counts

4 → 57

Calls

4 calls:

7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series676.0ms (18.4%)

Counts

4 → 12

Calls

4 calls:

263.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)
167.0ms	(cbrt.f64 x)
137.0ms	(cbrt.f64 x)
109.0ms	(cbrt.f64 x)

simplify115.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4868	599
1	4868	599

prune95.0ms (2.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	69	12	81

Error

0.0b

Counts

81 → 12

Compiler

Compiled 1498 to 821 computations (45.2% saved)

regimes105.0ms (2.9%)

Accuracy

Total 0.2b remaining (92.5%)

Threshold costs 0.2b (92.5%)

Compiler

Compiled 778 to 632 computations (18.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample958.0ms (26%)

Algorithm

1×

intervals

Results

244.0ms	7204×	body	128	valid
52.0ms	454×	body	1024	valid
25.0ms	221×	body	512	valid
7.0ms	121×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 405 to 330 computations (18.5% saved)

Details

analyze7.0ms (0.2%)

sample18.0ms (0.5%)

simplify151.0ms (4.1%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite10.0ms (0.3%)

series71.0ms (1.9%)

simplify82.0ms (2.2%)

prune44.0ms (1.2%)

localize8.0ms (0.2%)

rewrite15.0ms (0.4%)

series511.0ms (13.9%)

simplify75.0ms (2.1%)

prune96.0ms (2.6%)

localize19.0ms (0.5%)

rewrite28.0ms (0.7%)

series236.0ms (6.4%)

simplify73.0ms (2%)

prune227.0ms (6.2%)

localize23.0ms (0.6%)

rewrite22.0ms (0.6%)

series676.0ms (18.4%)

simplify115.0ms (3.1%)

prune95.0ms (2.6%)

regimes105.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample958.0ms (26%)

Profiling