Details

analyze681.0ms (10.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	75×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify246.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	1028	13
1	1028	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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 57 to 46 computations (19.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_4895`
6×	`associate-r_binary64_4835`
5×	`add-sqr-sqrt_binary64_4917`
3×	`distribute-lft-out--_binary64_4847` `add-cube-cbrt_binary64_4930` `pow1_binary64_4956` `add-cbrt-cube_binary64_4931` `distribute-lft-out_binary64_4846` `associate-l_binary64_4836` `add-exp-log_binary64_4933`
2×	`associate-*r/_binary64_4837`
1×	`distribute-lft-in_binary64_4844` `add-log-exp_binary64_4934` `cbrt-unprod_binary64_4928` `distribute-rgt-in_binary64_4845` `unswap-sqr_binary64_4863` `flip-+_binary64_4869` `flip3-+_binary64_4898` `prod-exp_binary64_4944` `pow-prod-down_binary64_4966` `*-commutative_binary64_4826`

Counts

1 → 25

Calls

1 calls:

13.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series83.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

83.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4788	394
1	4788	394

prune44.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0b

Counts

30 → 5

Compiler

Compiled 901 to 348 computations (61.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_4934`
6×	`diff-log_binary64_4987`
4×	`add-sqr-sqrt_binary64_4917` `sum-log_binary64_4986`
3×	`add-cube-cbrt_binary64_4930` `sub-neg_binary64_4888` `pow1_binary64_4956` `add-cbrt-cube_binary64_4931` `cancel-sign-sub-inv_binary64_4861` `add-exp-log_binary64_4933` `*-un-lft-identity_binary64_4895`
2×	`flip3--_binary64_4899` `flip--_binary64_4870` `associate-+l-_binary64_4830` `associate-+l+_binary64_4828`
1×	`distribute-lft-out--_binary64_4847` `+-commutative_binary64_4825` `associate--l+_binary64_4832` `flip-+_binary64_4869` `difference-of-squares_binary64_4864` `flip3-+_binary64_4898` `associate--l-_binary64_4833`

Counts

3 → 45

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series238.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

94.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
77.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
67.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4913	777
1	4913	777

prune77.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	54	5	59

Merged error: 0b

Counts

59 → 5

Compiler

Compiled 1701 to 639 computations (62.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
1.5b	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
1.5b	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
1.5b	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_4837`
18×	`cbrt-div_binary64_4927`
11×	`pow1_binary64_4956`
10×	`add-sqr-sqrt_binary64_4917`
9×	`pow1/3_binary64_4977` `flip-+_binary64_4869` `flip3-+_binary64_4898`
8×	`add-cube-cbrt_binary64_4930` `*-un-lft-identity_binary64_4895`
7×	`cbrt-prod_binary64_4926`
6×	`add-exp-log_binary64_4933`
4×	`add-log-exp_binary64_4934` `swap-sqr_binary64_4862` `frac-times_binary64_4905` `associate-r_binary64_4835` `add-cbrt-cube_binary64_4931` `associate-l_binary64_4836`
2×	`associate-*l/_binary64_4838` `pow-sqr_binary64_4868` `pow-prod-up_binary64_4965` `pow-prod-down_binary64_4966`
1×	`cbrt-unprod_binary64_4928` `unswap-sqr_binary64_4863` `pow2_binary64_4976` `prod-exp_binary64_4944` `*-commutative_binary64_4826` `pow-plus_binary64_4958`

Counts

4 → 72

Calls

4 calls:

13.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
10.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
10.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))

series3.4s (52%)

Counts

4 → 12

Calls

4 calls:

1.2s	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
740.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
734.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
725.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5209	1913

prune88.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0b

Counts

89 → 5

Compiler

Compiled 3223 to 444 computations (86.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1))
0.2b	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_4895`
12×	`associate-l_binary64_4836`
11×	`add-sqr-sqrt_binary64_4917`
9×	`pow1_binary64_4956` `add-cbrt-cube_binary64_4931` `add-exp-log_binary64_4933`
7×	`add-cube-cbrt_binary64_4930` `associate-r_binary64_4835` `sqrt-prod_binary64_4911`
4×	`associate-*l/_binary64_4838` `cbrt-unprod_binary64_4928` `prod-exp_binary64_4944` `pow-prod-down_binary64_4966`
3×	`distribute-lft-out--_binary64_4847` `distribute-lft-out_binary64_4846`
2×	`associate-r/_binary64_4837` `add-log-exp_binary64_4934` `unswap-sqr_binary64_4863` `flip-+_binary64_4869` `flip3-+_binary64_4898` `-commutative_binary64_4826`

Counts

2 → 50

Calls

2 calls:

16.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1)))
14.0ms	(*.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1))

series370.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

231.0ms	(*.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1))
138.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1)))

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5017	943

prune37.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	56	5	61

Merged error: 0b

Counts

61 → 5

Compiler

Compiled 964 to 163 computations (83.1% saved)

regimes65.0ms (1%)

Compiler: Compiled 488 to 304 computations (37.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms (0%)

sample805.0ms (12.2%)

Algorithm

1×

intervals

Results

335.0ms	8000×	body	128	valid
93.0ms	2281×	body	128	invalid

Compiler

Compiled 124 to 82 computations (33.9% saved)

Details

analyze681.0ms (10.3%)

sample24.0ms (0.4%)

simplify246.0ms (3.7%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite15.0ms (0.2%)

series83.0ms (1.3%)

simplify63.0ms (1%)

prune44.0ms (0.7%)

localize10.0ms (0.2%)

rewrite26.0ms (0.4%)

series238.0ms (3.6%)

simplify83.0ms (1.3%)

prune77.0ms (1.2%)

localize11.0ms (0.2%)

rewrite50.0ms (0.8%)

series3.4s (52%)

simplify48.0ms (0.7%)

prune88.0ms (1.3%)

localize9.0ms (0.1%)

rewrite35.0ms (0.5%)

series370.0ms (5.6%)

simplify44.0ms (0.7%)

prune37.0ms (0.6%)

regimes65.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample805.0ms (12.2%)

Profiling