Details

analyze136.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13
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

Symmetry

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
0.0b	(+.f64 12 (*.f64 x -9))
0.1b	(.f64 x (+.f64 12 (.f64 x -9)))

rewrite64.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-log-exp_binary64_19213` `add-sqr-sqrt_binary64_19196`
5×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210` `add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
3×	`associate-l_binary64_19115` `associate-r_binary64_19114`
2×	`distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123` `flip3-+_binary64_19177` `associate-*r/_binary64_19116` `flip-+_binary64_19148` `associate--r+_binary64_19110`
1×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `*-commutative_binary64_19105` `sum-log_binary64_19265` `+-commutative_binary64_19104` `diff-log_binary64_19266` `flip3--_binary64_19178` `sub-neg_binary64_19167` `flip--_binary64_19149` `cancel-sign-sub-inv_binary64_19140`

Counts

3 → 47

Calls

3 calls:

6.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
3.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
3.0ms	(+.f64 12 (*.f64 x -9))

Compiler

Compiled 795 to 636 computations (20% saved)

series175.0ms (4.6%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

75.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
54.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
31.0ms	(+.f64 12 (*.f64 x -9))

Compiler

Compiled 423 to 370 computations (12.5% saved)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5215	817

prune65.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Error

Counts

70 → 6

Compiler

Compiled 935 to 738 computations (21.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
0.0b	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.2b	(.f64 (.f64 x 3) x)

rewrite107.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210` `*-un-lft-identity_binary64_19174`
9×	`add-sqr-sqrt_binary64_19196`
7×	`add-cube-cbrt_binary64_19209` `associate-r_binary64_19114`
4×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-l_binary64_19115`
2×	`-commutative_binary64_19105` `flip3-+_binary64_19177` `associate-r/_binary64_19116` `flip-+_binary64_19148` `distribute-lft-out_binary64_19125` `diff-log_binary64_19266` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140` `sum-log_binary64_19265` `associate-+l+_binary64_19107`
1×	`unswap-sqr_binary64_19142` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123` `flip3--_binary64_19178` `flip--_binary64_19149` `associate-+l-_binary64_19109` `+-commutative_binary64_19104`

Counts

4 → 69

Calls

4 calls:

11.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
8.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
5.0ms	(.f64 (.f64 x 3) x)
5.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))

Compiler

Compiled 1525 to 1180 computations (22.6% saved)

series259.0ms (6.9%)

Error

Counts

4 → 27

Calls

4 calls:

82.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
74.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
56.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
27.0ms	(.f64 (.f64 x 3) x)

Compiler

Compiled 660 to 594 computations (10% saved)

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4952	1255
1	4952	1255

prune88.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Error

Counts

102 → 6

Compiler

Compiled 1534 to 1216 computations (20.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 12 (*.f64 x 9)))))
0.6b	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))
0.6b	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))
0.6b	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))

rewrite162.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*r/_binary64_19116`
18×	`cbrt-div_binary64_19206`
11×	`pow1_binary64_19235`
10×	`add-sqr-sqrt_binary64_19196`
9×	`pow1/3_binary64_19256` `flip3--_binary64_19178` `flip--_binary64_19149`
8×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
7×	`cbrt-prod_binary64_19205`
6×	`add-exp-log_binary64_19212`
4×	`add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210` `frac-times_binary64_19184` `swap-sqr_binary64_19141` `associate-l_binary64_19115` `associate-r_binary64_19114`
2×	`pow-prod-down_binary64_19245` `pow-prod-up_binary64_19244` `pow-sqr_binary64_19147` `associate-*l/_binary64_19117`
1×	`pow2_binary64_19255` `pow-plus_binary64_19237` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `*-commutative_binary64_19105`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 12 (*.f64 x 9)))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))

Compiler

Compiled 2759 to 2211 computations (19.9% saved)

series414.0ms (11%)

Error

Counts

4 → 31

Calls

4 calls:

118.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9)))) (cbrt.f64 (.f64 x (-.f64 12 (*.f64 x 9)))))
78.0ms	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))
75.0ms	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))
73.0ms	(cbrt.f64 (.f64 x (-.f64 12 (.f64 x 9))))

Compiler

Compiled 3276 to 2791 computations (14.8% saved)

simplify88.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4931	2094
1	4931	2094

prune182.0ms (4.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Error

Counts

109 → 6

Compiler

Compiled 3397 to 2718 computations (20% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 144) (.f64 (pow.f64 x 3) 81))
0.0b	(-.f64 12 (*.f64 x -9))
0.2b	(*.f64 (pow.f64 x 3) 81)
6.5b	(/.f64 (-.f64 (.f64 x 144) (.f64 (pow.f64 x 3) 81)) (-.f64 12 (*.f64 x -9)))

rewrite156.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_19196`
16×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
12×	`associate-l_binary64_19115`
11×	`add-exp-log_binary64_19212`
9×	`times-frac_binary64_19180`
8×	`add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210`
4×	`pow1_binary64_19235` `flip3--_binary64_19178` `flip--_binary64_19149` `unpow-prod-down_binary64_19253` `unswap-sqr_binary64_19142` `cube-prod_binary64_19202`
3×	`associate-/l_binary64_19119` `associate-/r_binary64_19118` `prod-exp_binary64_19223` `associate-r_binary64_19114`
2×	`associate-/l/_binary64_19121` `associate-/r/_binary64_19120` `sqr-pow_binary64_19146` `diff-log_binary64_19266` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140`
1×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `frac-2neg_binary64_19185` `div-sub_binary64_19179` `clear-num_binary64_19173` `div-inv_binary64_19171` `pow-to-exp_binary64_19243` `pow-exp_binary64_19242` `cbrt-unprod_binary64_19207` `unpow3_binary64_19240` `cube-mult_binary64_19204` `*-commutative_binary64_19105`

Counts

4 → 87

Calls

4 calls:

7.0ms	(/.f64 (-.f64 (.f64 x 144) (.f64 (pow.f64 x 3) 81)) (-.f64 12 (*.f64 x -9)))
6.0ms	(*.f64 (pow.f64 x 3) 81)
4.0ms	(-.f64 (.f64 x 144) (.f64 (pow.f64 x 3) 81))
3.0ms	(-.f64 12 (*.f64 x -9))

Compiler

Compiled 2353 to 1950 computations (17.1% saved)

series264.0ms (7%)

Error

Counts

4 → 21

Calls

4 calls:

102.0ms	(/.f64 (-.f64 (.f64 x 144) (.f64 (pow.f64 x 3) 81)) (-.f64 12 (*.f64 x -9)))
75.0ms	(-.f64 (.f64 x 144) (.f64 (pow.f64 x 3) 81))
37.0ms	(*.f64 (pow.f64 x 3) 81)
35.0ms	(-.f64 12 (*.f64 x -9))

Compiler

Compiled 756 to 657 computations (13.1% saved)

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4986	1813
1	4986	1813

prune135.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	108	6	114

Error

Counts

114 → 6

Compiler

Compiled 2414 to 1992 computations (17.5% saved)

regimes217.0ms (5.7%)

Accuracy

Total 0.1b remaining (98.1%)

Threshold costs 0.1b (98.1%)

Compiler

Compiled 1912 to 1641 computations (14.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	163	16
1	163	16

Removed

()

end0.0ms (0%)

sample942.0ms (25%)

Algorithm

1×

intervals

Results

254.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 470 to 405 computations (13.8% saved)

Details

analyze136.0ms (3.6%)

sample14.0ms (0.4%)

simplify50.0ms (1.3%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite64.0ms (1.7%)

series175.0ms (4.6%)

simplify62.0ms (1.7%)

prune65.0ms (1.7%)

localize8.0ms (0.2%)

rewrite107.0ms (2.8%)

series259.0ms (6.9%)

simplify70.0ms (1.9%)

prune88.0ms (2.3%)

localize14.0ms (0.4%)

rewrite162.0ms (4.3%)

series414.0ms (11%)

simplify88.0ms (2.3%)

prune182.0ms (4.8%)

localize13.0ms (0.3%)

rewrite156.0ms (4.1%)

series264.0ms (7%)

simplify70.0ms (1.9%)

prune135.0ms (3.6%)

regimes217.0ms (5.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample942.0ms (25%)

Profiling