Details

analyze198.0ms (4.2%)

Algorithm

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

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample173.0ms (3.6%)

Algorithm

2×

intervals

Results

16.0ms	512×	body	128	valid
6.0ms	174×	body	128	invalid

Compiler

Compiled 5081 to 4717 computations (7.2% saved)

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13

prune5.0ms (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 (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite74.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_17167` `add-sqr-sqrt_binary64_17150`
5×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
3×	`associate-l_binary64_17069` `associate-r_binary64_17068`
2×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `flip3-+_binary64_17131` `associate-*r/_binary64_17070` `flip-+_binary64_17102` `associate--r+_binary64_17064`
1×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059` `diff-log_binary64_17220` `flip3--_binary64_17132` `sub-neg_binary64_17121` `flip--_binary64_17103` `cancel-sign-sub-inv_binary64_17094` `sum-log_binary64_17219` `+-commutative_binary64_17058`

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)

series245.0ms (5.2%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

112.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
75.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
41.0ms	(+.f64 12 (*.f64 x -9))

Compiler

Compiled 423 to 370 computations (12.5% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5215	817

prune73.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Error

0.0b

Counts

70 → 5

Compiler

Compiled 928 to 733 computations (21% 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)

rewrite125.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164` `*-un-lft-identity_binary64_17128`
9×	`add-sqr-sqrt_binary64_17150`
7×	`add-cube-cbrt_binary64_17163` `associate-r_binary64_17068`
4×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `associate-l_binary64_17069`
2×	`-commutative_binary64_17059` `flip3-+_binary64_17131` `associate-r/_binary64_17070` `flip-+_binary64_17102` `distribute-lft-out_binary64_17079` `diff-log_binary64_17220` `sub-neg_binary64_17121` `cancel-sign-sub-inv_binary64_17094` `sum-log_binary64_17219` `associate-+l+_binary64_17061`
1×	`unswap-sqr_binary64_17096` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `flip3--_binary64_17132` `flip--_binary64_17103` `associate-+l-_binary64_17063` `+-commutative_binary64_17058`

Counts

4 → 69

Calls

4 calls:

11.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
7.0ms	(+.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)

series357.0ms (7.5%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

119.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
97.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
80.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
40.0ms	(.f64 (.f64 x 3) x)

Compiler

Compiled 660 to 594 computations (10% saved)

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4952	1255
1	4952	1255

prune104.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	95	6	101

Error

Counts

101 → 6

Compiler

Compiled 1540 to 1223 computations (20.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9))))) (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (*.f64 x 9))))))
0.2b	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
0.2b	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
0.2b	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))

rewrite280.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_17159`
23×	`add-sqr-sqrt_binary64_17150`
18×	`cbrt-div_binary64_17160`
15×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
11×	`pow1_binary64_17189`
9×	`pow1/3_binary64_17210` `flip3--_binary64_17132` `flip--_binary64_17103`
6×	`add-exp-log_binary64_17166` `swap-sqr_binary64_17095` `associate-l_binary64_17069` `associate-r_binary64_17068`
4×	`add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164` `frac-times_binary64_17138` `unswap-sqr_binary64_17096`
2×	`pow-prod-down_binary64_17199` `pow-prod-up_binary64_17198` `pow-sqr_binary64_17101` `associate-l/_binary64_17071` `associate-r/_binary64_17070`
1×	`pow2_binary64_17209` `pow-plus_binary64_17191` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `*-commutative_binary64_17059`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9))))) (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (*.f64 x 9))))))
2.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
2.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
2.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))

Compiler

Compiled 4124 to 3393 computations (17.7% saved)

series726.0ms (15.3%)

Error

Counts

4 → 47

Calls

4 calls:

151.0ms	(.f64 (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9))))) (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (*.f64 x 9))))))
145.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
142.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
139.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))

Compiler

Compiled 4830 to 4244 computations (12.1% saved)

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4959	3814
1	4959	3814

prune374.0ms (7.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	134	6	140

Error

Counts

140 → 6

Compiler

Compiled 5363 to 4420 computations (17.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) -9)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
3×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `add-sqr-sqrt_binary64_17150` `associate-r_binary64_17068`
2×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
1×	`add-log-exp_binary64_17167` `unswap-sqr_binary64_17096` `associate-l_binary64_17069` `*-commutative_binary64_17059`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

Compiler

Compiled 231 to 151 computations (34.6% saved)

series44.0ms (0.9%)

Error

Counts

1 → 3

Calls

1 calls:

42.0ms

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

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5394	182

prune17.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	22	6	28

Error

Counts

28 → 6

Compiler

Compiled 211 to 147 computations (30.3% saved)

regimes299.0ms (6.3%)

Accuracy

Total 0.1b remaining (97.7%)

Threshold costs 0.1b (97.7%)

Compiler

Compiled 2802 to 2417 computations (13.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	13
1	64	13

end0.0ms (0%)

sample1.3s (26.6%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
86.0ms	2632×	body	128	invalid

Compiler

Compiled 671 to 580 computations (13.6% saved)

Details

analyze198.0ms (4.2%)

sample173.0ms (3.6%)

simplify49.0ms (1%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite74.0ms (1.6%)

series245.0ms (5.2%)

simplify62.0ms (1.3%)

prune73.0ms (1.5%)

localize8.0ms (0.2%)

rewrite125.0ms (2.6%)

series357.0ms (7.5%)

simplify67.0ms (1.4%)

prune104.0ms (2.2%)

localize10.0ms (0.2%)

rewrite280.0ms (5.9%)

series726.0ms (15.3%)

simplify81.0ms (1.7%)

prune374.0ms (7.9%)

localize5.0ms (0.1%)

rewrite23.0ms (0.5%)

series44.0ms (0.9%)

simplify75.0ms (1.6%)

prune17.0ms (0.3%)

regimes299.0ms (6.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (26.6%)

Profiling