Details

analyze4.0ms (0.1%)

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
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify249.0ms (9.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4679	13
1	4679	13

prune2.0ms (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 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_22281` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
3×	`add-sqr-sqrt_binary64_22265` `associate-r_binary64_22183` `cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
2×	`-un-lft-identity_binary64_22243` `associate-r/_binary64_22185` `cancel-sign-sub-inv_binary64_22209` `add-cube-cbrt_binary64_22278` `distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192` `sub-neg_binary64_22236`
1×	`add-log-exp_binary64_22282` `flip--_binary64_22218` `associate-l_binary64_22184` `flip3--_binary64_22247` `*-commutative_binary64_22174` `unswap-sqr_binary64_22211`

Counts

1 → 25

Calls

2 calls:

8.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

series241.0ms (8.8%)

Counts

1 → 6

Calls

1 calls:

241.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 81 to 75 computations (7.4% saved)

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5105	438

prune48.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	5	32

Error

0.0b

Counts

32 → 5

Compiler

Compiled 480 to 326 computations (32.1% saved)

localize7.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 (.f64 x x) 3)
0.0b	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
0.0b	(*.f64 (pow.f64 x 3) -2)
0.0b	(*.f64 (pow.f64 x 3) -2)
0.0b	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
0.2b	(.f64 (.f64 x x) 3)

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_22265`
13×	`add-exp-log_binary64_22281` `associate-l_binary64_22184`
10×	`add-cbrt-cube_binary64_22279`
8×	`*-un-lft-identity_binary64_22243` `pow1_binary64_22304` `add-cube-cbrt_binary64_22278`
6×	`associate-r_binary64_22183` `prod-exp_binary64_22292`
5×	`add-log-exp_binary64_22282` `unswap-sqr_binary64_22211`
4×	`unpow-prod-down_binary64_22322` `cube-prod_binary64_22271` `cbrt-unprod_binary64_22276`
3×	`pow-prod-down_binary64_22314`
2×	`sqr-pow_binary64_22215` `*-commutative_binary64_22174`
1×	`cube-mult_binary64_22273` `pow-to-exp_binary64_22312` `flip3-+_binary64_22246` `+-commutative_binary64_22173` `flip-+_binary64_22217` `pow-exp_binary64_22311` `unpow3_binary64_22309` `sum-log_binary64_22334`

Counts

3 → 61

Calls

6 calls:

6.0ms	(*.f64 (pow.f64 x 3) -2)
6.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
6.0ms	(.f64 (.f64 x x) 3)
0.0ms	(*.f64 (pow.f64 x 3) -2)
0.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))

series130.0ms (4.8%)

Counts

3 → 12

Calls

3 calls:

71.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
32.0ms	(*.f64 (pow.f64 x 3) -2)
27.0ms	(.f64 (.f64 x x) 3)

Compiler

Compiled 213 to 189 computations (11.3% saved)

simplify78.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	757
1	4922	757

prune64.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Error

0.0b

Counts

78 → 5

Compiler

Compiled 1117 to 772 computations (30.9% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
0.0b	(.f64 x (-.f64 3 (.f64 x 2)))
0.0b	(.f64 x (-.f64 3 (.f64 x 2)))
0.2b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192`
9×	`add-exp-log_binary64_22281` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
7×	`add-sqr-sqrt_binary64_22265`
6×	`associate-r/_binary64_22185` `cancel-sign-sub-inv_binary64_22209` `associate-l*_binary64_22184` `sub-neg_binary64_22236`
5×	`*-un-lft-identity_binary64_22243` `add-cube-cbrt_binary64_22278`
4×	`associate-r_binary64_22183` `cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
2×	`add-log-exp_binary64_22282` `flip--_binary64_22218` `flip3--_binary64_22247` `*-commutative_binary64_22174`
1×	`unswap-sqr_binary64_22211`

Counts

2 → 52

Calls

4 calls:

7.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
6.0ms	(.f64 x (-.f64 3 (.f64 x 2)))
0.0ms	(.f64 x (-.f64 3 (.f64 x 2)))
0.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

series104.0ms (3.8%)

Counts

2 → 12

Calls

2 calls:

54.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
50.0ms	(.f64 x (-.f64 3 (.f64 x 2)))

Compiler

Compiled 166 to 145 computations (12.7% saved)

simplify55.0ms (2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5104	810

prune56.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Error

Counts

69 → 4

Compiler

Compiled 837 to 596 computations (28.8% saved)

localize13.0ms (0.5%)

Local error

Found 6 expressions with local error:

2.2b	(/.f64 (.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4))))) (+.f64 3 (*.f64 x 2)))
0.2b	(.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4)))))
0.1b	(.f64 x (-.f64 9 (.f64 x (*.f64 x 4))))
0.1b	(.f64 x (-.f64 9 (.f64 x (*.f64 x 4))))
0.2b	(.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4)))))
2.2b	(/.f64 (.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4))))) (+.f64 3 (*.f64 x 2)))

rewrite32.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
10×	`add-sqr-sqrt_binary64_22265` `associate-*r/_binary64_22185` `pow1_binary64_22304` `distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192`
8×	`*-un-lft-identity_binary64_22243` `add-cube-cbrt_binary64_22278`
7×	`cbrt-unprod_binary64_22276` `prod-exp_binary64_22292`
6×	`cancel-sign-sub-inv_binary64_22209` `associate-l_binary64_22184` `sub-neg_binary64_22236`
4×	`associate-r_binary64_22183` `pow-prod-down_binary64_22314`
3×	`times-frac_binary64_22249` `add-log-exp_binary64_22282` `flip--_binary64_22218` `cbrt-undiv_binary64_22277` `flip3--_binary64_22247` `div-exp_binary64_22294` `associate-/r*_binary64_22187`
2×	`associate-/l/_binary64_22190` `*-commutative_binary64_22174` `associate-/r/_binary64_22189`
1×	`div-inv_binary64_22240` `flip3-+_binary64_22246` `clear-num_binary64_22242` `flip-+_binary64_22217` `frac-2neg_binary64_22254` `associate-/l*_binary64_22188` `unswap-sqr_binary64_22211`

Counts

3 → 79

Calls

6 calls:

11.0ms	(/.f64 (.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4))))) (+.f64 3 (*.f64 x 2)))
8.0ms	(.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4)))))
6.0ms	(.f64 x (-.f64 9 (.f64 x (*.f64 x 4))))
0.0ms	(.f64 x (-.f64 9 (.f64 x (*.f64 x 4))))
0.0ms	(/.f64 (.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4))))) (+.f64 3 (*.f64 x 2)))

series238.0ms (8.7%)

Counts

3 → 18

Calls

3 calls:

94.0ms	(/.f64 (.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4))))) (+.f64 3 (*.f64 x 2)))
79.0ms	(.f64 x (.f64 x (-.f64 9 (.f64 x (.f64 x 4)))))
64.0ms	(.f64 x (-.f64 9 (.f64 x (*.f64 x 4))))

Compiler

Compiled 355 to 310 computations (12.7% saved)

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5040	1728

prune107.0ms (3.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Error

Counts

101 → 4

Compiler

Compiled 1990 to 1457 computations (26.8% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	232	529
1	232	529

regimes92.0ms (3.4%)

Compiler: Compiled 846 to 659 computations (22.1% saved)

bsearch0.0ms (0%)

regimes59.0ms (2.2%)

Compiler: Compiled 412 to 327 computations (20.6% saved)

bsearch0.0ms (0%)

regimes30.0ms (1.1%)

Compiler: Compiled 140 to 116 computations (17.1% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.9%)

Compiler: Compiled 22 to 21 computations (4.5% saved)

bsearch22.0ms (0.8%)

Steps

Iters	Range		Point
6	0.694616828524831	6.152779060662836	1.4962902966217095
9	-47910.491430791204	-0.12208613939130855	-1.5141405204876162

Compiler

Compiled 1 to 1 computations (0% saved)

regimes12.0ms (0.4%)

Compiler: Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.3%)

Compiler: Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

regimes8.0ms (0.3%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch5.0ms (0.2%)

Compiler: Compiled 72 to 54 computations (25% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	100	95
1	100	95

end0.0ms (0%)

sample824.0ms (30.1%)

Algorithm

1×

intervals

Results

199.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 445 to 347 computations (22% saved)

Pareto

0.9411817126882344

Details

analyze4.0ms (0.1%)

sample12.0ms (0.4%)

simplify249.0ms (9.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite10.0ms (0.4%)

series241.0ms (8.8%)

simplify59.0ms (2.1%)

prune48.0ms (1.8%)

localize7.0ms (0.2%)

rewrite22.0ms (0.8%)

series130.0ms (4.8%)

simplify78.0ms (2.9%)

prune64.0ms (2.4%)

localize5.0ms (0.2%)

rewrite19.0ms (0.7%)

series104.0ms (3.8%)

simplify55.0ms (2%)

prune56.0ms (2%)

localize13.0ms (0.5%)

rewrite32.0ms (1.2%)

series238.0ms (8.7%)

simplify68.0ms (2.5%)

prune107.0ms (3.9%)

simplify12.0ms (0.4%)

regimes92.0ms (3.4%)

bsearch0.0ms (0%)

regimes59.0ms (2.2%)

bsearch0.0ms (0%)

regimes30.0ms (1.1%)

bsearch0.0ms (0%)

regimes25.0ms (0.9%)

bsearch22.0ms (0.8%)

regimes12.0ms (0.4%)

bsearch0.0ms (0%)

regimes9.0ms (0.3%)

bsearch0.0ms (0%)

regimes8.0ms (0.3%)

bsearch5.0ms (0.2%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample824.0ms (30.1%)

Profiling