Details

analyze116.0ms (3.7%)

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)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	230×	body	128	valid
1.0ms	13×	body	1024	valid
0.0ms	7×	body	512	valid
0.0ms	6×	body	256	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify30.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10

prune7.0ms (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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_18173`
3×	`pow1_binary64_18212` `add-cbrt-cube_binary64_18187` `-un-lft-identity_binary64_18151` `associate-r_binary64_18091` `add-exp-log_binary64_18189` `add-cube-cbrt_binary64_18186` `associate-l*_binary64_18092`
2×	`associate-*r/_binary64_18093`
1×	`unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `*-commutative_binary64_18082` `flip-+_binary64_18125` `distribute-rgt-in_binary64_18101` `add-log-exp_binary64_18190` `distribute-lft-in_binary64_18100` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `flip3-+_binary64_18154`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 6 (*.f64 x -9)))

series40.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

40.0ms

(*.f64 x (+.f64 6 (*.f64 x -9)))

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4936	310
1	4936	310

prune31.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Error

0.0b

Counts

27 → 7

Compiler

Compiled 405 to 312 computations (23% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_18182`
23×	`add-sqr-sqrt_binary64_18173`
15×	`*-un-lft-identity_binary64_18151` `add-cube-cbrt_binary64_18186`
11×	`pow1_binary64_18212`
9×	`pow1/3_binary64_18233`
6×	`swap-sqr_binary64_18118` `associate-r_binary64_18091` `add-exp-log_binary64_18189` `associate-l_binary64_18092`
4×	`unswap-sqr_binary64_18119` `add-cbrt-cube_binary64_18187` `add-log-exp_binary64_18190`
2×	`pow-sqr_binary64_18124` `pow-prod-down_binary64_18222` `pow-prod-up_binary64_18221`
1×	`pow-plus_binary64_18214` `pow2_binary64_18232` `*-commutative_binary64_18082` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`

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)

series344.0ms (10.9%)

Counts

4 → 12

Calls

4 calls:

106.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
82.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune74.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Error

0.0b

Counts

92 → 9

Compiler

Compiled 1537 to 840 computations (45.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 6 (.f64 x -9))) (cbrt.f64 (+.f64 6 (.f64 x -9))))) (cbrt.f64 (+.f64 6 (.f64 x -9))))
0.8b	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
0.8b	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
0.8b	(cbrt.f64 (+.f64 6 (*.f64 x -9)))

rewrite40.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_18183`
32×	`associate-*r/_binary64_18093`
30×	`flip-+_binary64_18125` `flip3-+_binary64_18154`
28×	`frac-times_binary64_18161`
14×	`associate-*l/_binary64_18094`
13×	`pow1_binary64_18212` `add-exp-log_binary64_18189`
12×	`cbrt-prod_binary64_18182`
9×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
8×	`add-cbrt-cube_binary64_18187`
6×	`pow-prod-down_binary64_18222` `associate-r_binary64_18091` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
4×	`add-log-exp_binary64_18190`
3×	`pow1/3_binary64_18233`
1×	`-commutative_binary64_18082` `associate-l*_binary64_18092`

Counts

4 → 89

Calls

4 calls:

20.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 6 (.f64 x -9))) (cbrt.f64 (+.f64 6 (.f64 x -9))))) (cbrt.f64 (+.f64 6 (.f64 x -9))))
2.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
2.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
2.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))

series128.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 6 (.f64 x -9))) (cbrt.f64 (+.f64 6 (.f64 x -9))))) (cbrt.f64 (+.f64 6 (.f64 x -9))))
30.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
30.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
27.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))

simplify119.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4865	2614
1	4865	2614

prune171.0ms (5.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	98	12	110

Error

Counts

110 → 12

Compiler

Compiled 3119 to 2564 computations (17.8% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 6 (.f64 x -9))) (cbrt.f64 (+.f64 6 (.f64 x -9))))) (/.f64 (cbrt.f64 (-.f64 36 (.f64 x (.f64 x 81)))) (cbrt.f64 (-.f64 6 (.f64 x -9)))))
0.8b	(cbrt.f64 (-.f64 6 (*.f64 x -9)))
0.8b	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
0.8b	(cbrt.f64 (+.f64 6 (*.f64 x -9)))

rewrite51.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64_18182`
42×	`associate-r_binary64_18091`
36×	`times-frac_binary64_18157`
32×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186` `cbrt-div_binary64_18183`
25×	`add-exp-log_binary64_18189`
21×	`associate-*r/_binary64_18093`
16×	`frac-times_binary64_18161`
15×	`add-cbrt-cube_binary64_18187`
14×	`flip-+_binary64_18125` `flip3-+_binary64_18154`
13×	`pow1_binary64_18212`
12×	`associate-*l/_binary64_18094` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
6×	`pow-prod-down_binary64_18222`
4×	`add-log-exp_binary64_18190`
3×	`div-exp_binary64_18202` `pow1/3_binary64_18233` `cbrt-undiv_binary64_18185`
2×	`flip3--_binary64_18155` `flip--_binary64_18126` `associate-/r/_binary64_18097`
1×	`div-inv_binary64_18148` `-commutative_binary64_18082` `associate-l*_binary64_18092`

Counts

4 → 122

Calls

4 calls:

27.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 6 (.f64 x -9))) (cbrt.f64 (+.f64 6 (.f64 x -9))))) (/.f64 (cbrt.f64 (-.f64 36 (.f64 x (.f64 x 81)))) (cbrt.f64 (-.f64 6 (.f64 x -9)))))
3.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
2.0ms	(cbrt.f64 (-.f64 6 (*.f64 x -9)))
2.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))

series387.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

291.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 6 (.f64 x -9))) (cbrt.f64 (+.f64 6 (.f64 x -9))))) (/.f64 (cbrt.f64 (-.f64 36 (.f64 x (.f64 x 81)))) (cbrt.f64 (-.f64 6 (.f64 x -9)))))
35.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))
33.0ms	(cbrt.f64 (-.f64 6 (*.f64 x -9)))
28.0ms	(cbrt.f64 (+.f64 6 (*.f64 x -9)))

simplify115.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4938	5187
1	4938	5187

prune338.0ms (10.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	2	6	8
Picked	0	1	1
Done	0	3	3
Total	135	11	146

Error

Counts

146 → 11

Compiler

Compiled 5639 to 4508 computations (20.1% saved)

regimes99.0ms (3.1%)

Accuracy

Total 0.2b remaining (96.9%)

Threshold costs 0.2b (96.9%)

Compiler

Compiled 998 to 828 computations (17% 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%)

sample861.0ms (27.3%)

Algorithm

1×

intervals

Results

173.0ms	7219×	body	128	valid
38.0ms	438×	body	1024	valid
14.0ms	224×	body	512	valid
5.0ms	119×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 515 to 428 computations (16.9% saved)

Details

analyze116.0ms (3.7%)

sample12.0ms (0.4%)

simplify30.0ms (0.9%)

prune7.0ms (0.2%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series40.0ms (1.3%)

simplify69.0ms (2.2%)

prune31.0ms (1%)

localize8.0ms (0.2%)

rewrite15.0ms (0.5%)

series344.0ms (10.9%)

simplify63.0ms (2%)

prune74.0ms (2.3%)

localize8.0ms (0.3%)

rewrite40.0ms (1.3%)

series128.0ms (4.1%)

simplify119.0ms (3.8%)

prune171.0ms (5.4%)

localize16.0ms (0.5%)

rewrite51.0ms (1.6%)

series387.0ms (12.3%)

simplify115.0ms (3.7%)

prune338.0ms (10.7%)

regimes99.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample861.0ms (27.3%)

Profiling