Details

analyze203.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10
0	1	1
1	1	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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	227×	body	128	valid
3.0ms	20×	body	1024	valid
1.0ms	8×	body	512	valid
0.0ms	1×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10

prune6.0ms (0.1%)

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)

localize9.0ms (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)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_18855`
4×	`add-cbrt-cube_binary64_18869` `pow1_binary64_18894` `add-log-exp_binary64_18872` `*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868` `add-exp-log_binary64_18871`
3×	`associate-r_binary64_18773` `associate-l_binary64_18774`
2×	`associate-*r/_binary64_18775` `flip3-+_binary64_18836` `flip-+_binary64_18807`
1×	`+-commutative_binary64_18763` `pow-prod-down_binary64_18904` `distribute-lft-in_binary64_18782` `*-commutative_binary64_18764` `sum-log_binary64_18924` `cbrt-unprod_binary64_18866` `distribute-rgt-in_binary64_18783` `prod-exp_binary64_18882` `unswap-sqr_binary64_18801`

Counts

2 → 33

Calls

2 calls:

9.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
5.0ms	(+.f64 6 (*.f64 x -9))

series136.0ms (3.2%)

Counts

2 → 12

Calls

2 calls:

83.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
52.0ms	(+.f64 6 (*.f64 x -9))

Compiler

Compiled 122 to 108 computations (11.5% saved)

simplify116.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5235	482

prune80.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	37	8	45
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	39	8	47

Error

0.0b

Counts

47 → 8

Compiler

Compiled 609 to 463 computations (24% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))
0.2b	(.f64 x (.f64 x -9))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_18869` `pow1_binary64_18894` `add-exp-log_binary64_18871`
4×	`add-log-exp_binary64_18872`
3×	`pow-prod-down_binary64_18904` `-un-lft-identity_binary64_18833` `cbrt-unprod_binary64_18866` `add-cube-cbrt_binary64_18868` `prod-exp_binary64_18882` `associate-l*_binary64_18774` `add-sqr-sqrt_binary64_18855`
1×	`+-commutative_binary64_18763` `-commutative_binary64_18764` `sum-log_binary64_18924` `associate-r*_binary64_18773` `flip3-+_binary64_18836` `flip-+_binary64_18807` `distribute-lft-out_binary64_18784`

Counts

2 → 30

Calls

2 calls:

9.0ms	(.f64 x (.f64 x -9))
8.0ms	(+.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))

series123.0ms (2.9%)

Counts

2 → 9

Calls

2 calls:

82.0ms	(+.f64 (.f64 x 6) (.f64 x (*.f64 x -9)))
41.0ms	(.f64 x (.f64 x -9))

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify163.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4850	396
1	4850	396

prune61.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Error

0.0b

Counts

47 → 7

Compiler

Compiled 539 to 398 computations (26.2% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
0.2b	(.f64 (.f64 x x) -9)

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_18869` `pow1_binary64_18894` `add-exp-log_binary64_18871`
4×	`add-log-exp_binary64_18872` `add-sqr-sqrt_binary64_18855`
3×	`pow-prod-down_binary64_18904` `-un-lft-identity_binary64_18833` `cbrt-unprod_binary64_18866` `associate-r*_binary64_18773` `add-cube-cbrt_binary64_18868` `prod-exp_binary64_18882`
1×	`+-commutative_binary64_18763` `-commutative_binary64_18764` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `associate-l*_binary64_18774` `unswap-sqr_binary64_18801`

Counts

2 → 30

Calls

2 calls:

10.0ms	(.f64 (.f64 x x) -9)
7.0ms	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))

series131.0ms (3.1%)

Counts

2 → 9

Calls

2 calls:

86.0ms	(+.f64 (.f64 x 6) (.f64 (*.f64 x x) -9))
45.0ms	(.f64 (.f64 x x) -9)

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify127.0ms (3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5583	405

prune59.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

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

Error

0.0b

Counts

46 → 7

Compiler

Compiled 535 to 375 computations (29.9% saved)

localize17.0ms (0.4%)

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))))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_18775`
18×	`cbrt-div_binary64_18865`
11×	`pow1_binary64_18894`
10×	`add-sqr-sqrt_binary64_18855`
9×	`flip3-+_binary64_18836` `pow1/3_binary64_18915` `flip-+_binary64_18807`
8×	`*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868`
7×	`cbrt-prod_binary64_18864`
6×	`add-exp-log_binary64_18871`
4×	`add-cbrt-cube_binary64_18869` `add-log-exp_binary64_18872` `swap-sqr_binary64_18800` `associate-r_binary64_18773` `associate-l_binary64_18774` `frac-times_binary64_18843`
2×	`pow-prod-down_binary64_18904` `pow-sqr_binary64_18806` `associate-*l/_binary64_18776` `pow-prod-up_binary64_18903`
1×	`*-commutative_binary64_18764` `pow2_binary64_18914` `cbrt-unprod_binary64_18866` `prod-exp_binary64_18882` `pow-plus_binary64_18896` `unswap-sqr_binary64_18801`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))))
7.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
7.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
7.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

series676.0ms (16.1%)

Counts

4 → 35

Calls

4 calls:

224.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 6 (*.f64 x -9)))))
163.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
146.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))
143.0ms	(cbrt.f64 (.f64 x (+.f64 6 (.f64 x -9))))

Compiler

Compiled 2169 to 1887 computations (13% saved)

simplify154.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4934	2452
1	4934	2452

prune302.0ms (7.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	105	9	114

Error

Counts

114 → 9

Compiler

Compiled 3436 to 2748 computations (20% saved)

regimes171.0ms (4.1%)

Accuracy

Total 0.2b remaining (96.9%)

Threshold costs 0.2b (96.9%)

Compiler

Compiled 892 to 728 computations (18.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample1.5s (34.8%)

Algorithm

1×

intervals

Results

308.0ms	7198×	body	128	valid
77.0ms	467×	body	1024	valid
26.0ms	224×	body	512	valid
9.0ms	111×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 464 to 379 computations (18.3% saved)

Details

analyze203.0ms (4.8%)

sample21.0ms (0.5%)

simplify56.0ms (1.3%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

rewrite17.0ms (0.4%)

series136.0ms (3.2%)

simplify116.0ms (2.8%)

prune80.0ms (1.9%)

localize10.0ms (0.2%)

rewrite20.0ms (0.5%)

series123.0ms (2.9%)

simplify163.0ms (3.9%)

prune61.0ms (1.5%)

localize11.0ms (0.3%)

rewrite20.0ms (0.5%)

series131.0ms (3.1%)

simplify127.0ms (3%)

prune59.0ms (1.4%)

localize17.0ms (0.4%)

rewrite46.0ms (1.1%)

series676.0ms (16.1%)

simplify154.0ms (3.7%)

prune302.0ms (7.2%)

regimes171.0ms (4.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (34.8%)

Profiling