Details

analyze286.0ms (8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	236×	body	128	valid
1.0ms	14×	body	512	valid
1.0ms	16×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify166.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3447`
5×	`add-sqr-sqrt_binary64_3468` `associate-r_binary64_3389`
3×	`add-cube-cbrt_binary64_3479` `add-cbrt-cube_binary64_3480` `distribute-lft-out_binary64_3400` `associate-l_binary64_3390` `add-exp-log_binary64_3482` `pow1_binary64_3505`
2×	`associate-*r/_binary64_3391`
1×	`cbrt-unprod_binary64_3477` `distribute-lft-in_binary64_3398` `flip-+_binary64_3421` `add-log-exp_binary64_3483` `flip3-+_binary64_3450` `*-commutative_binary64_3380` `unswap-sqr_binary64_3415` `distribute-rgt-in_binary64_3399` `pow-prod-down_binary64_3515` `prod-exp_binary64_3493`

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series63.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

63.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify110.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4907	315
1	4907	315

prune26.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Merged error: 0b

Counts

28 → 5

Compiler

Compiled 387 to 213 computations (45% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite50.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_3447`
21×	`sqrt-prod_binary64_3462`
18×	`sqrt-div_binary64_3463`
17×	`add-sqr-sqrt_binary64_3468`
16×	`associate-r_binary64_3389`
13×	`pow1_binary64_3505`
12×	`distribute-lft-out_binary64_3400`
11×	`add-cube-cbrt_binary64_3479` `add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
10×	`associate-*r/_binary64_3391`
9×	`flip-+_binary64_3421` `flip3-+_binary64_3450`
4×	`cbrt-unprod_binary64_3477` `add-log-exp_binary64_3483` `associate-l_binary64_3390` `frac-times_binary64_3457` `pow-prod-down_binary64_3515` `prod-exp_binary64_3493`
2×	`rem-sqrt-square_binary64_3460` `pow1/2_binary64_3524` `associate-l/_binary64_3392` `sqrt-pow1_binary64_3464` `-commutative_binary64_3380` `unswap-sqr_binary64_3415`

Counts

4 → 91

Calls

4 calls:

17.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
13.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
6.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
6.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

series261.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
57.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
46.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
43.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4979	1691
1	4979	1691

prune103.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	103	5	108

Merged error: 0b

Counts

108 → 5

Compiler

Compiled 2130 to 1209 computations (43.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
8.0b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
14.8b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_3447`
20×	`add-sqr-sqrt_binary64_3468`
12×	`add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482` `pow1_binary64_3505`
11×	`add-cube-cbrt_binary64_3479`
8×	`distribute-lft-out_binary64_3400` `associate-r_binary64_3389`
7×	`associate-l_binary64_3390`
6×	`swap-sqr_binary64_3414` `flip-+_binary64_3421` `associate-/r_binary64_3393` `associate-r/_binary64_3391` `flip3-+_binary64_3450` `times-frac_binary64_3453`
4×	`distribute-lft-out--_binary64_3401` `frac-times_binary64_3457`
3×	`cbrt-unprod_binary64_3477` `flip--_binary64_3422` `add-log-exp_binary64_3483` `difference-of-squares_binary64_3416` `flip3--_binary64_3451` `prod-exp_binary64_3493`
2×	`distribute-lft-in_binary64_3398` `div-exp_binary64_3495` `associate-l/_binary64_3392` `associate-/r/_binary64_3395` `cbrt-undiv_binary64_3478` `-commutative_binary64_3380` `unswap-sqr_binary64_3415` `distribute-rgt-in_binary64_3399` `sub-neg_binary64_3440` `pow-prod-down_binary64_3515` `associate-/l/_binary64_3396`
1×	`frac-2neg_binary64_3458` `pow-plus_binary64_3507` `pow-sqr_binary64_3420` `pow2_binary64_3525` `clear-num_binary64_3446` `div-inv_binary64_3444` `pow-prod-up_binary64_3514` `associate-/l*_binary64_3394`

Counts

3 → 94

Calls

3 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))

series389.0ms (10.9%)

Counts

3 → 9

Calls

3 calls:

232.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
133.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
24.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5014	1693

prune99.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Merged error: 0b

Counts

108 → 5

Compiler

Compiled 2217 to 1121 computations (49.4% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
0.0b	(*.f64 3 (+.f64 d2 d3))
4.1b	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
26.0b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

rewrite69.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`associate-*r/_binary64_3391`
28×	`flip-+_binary64_3421` `flip3-+_binary64_3450`
16×	`frac-sub_binary64_3456`
14×	`*-un-lft-identity_binary64_3447` `add-sqr-sqrt_binary64_3468`
13×	`add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
10×	`add-cube-cbrt_binary64_3479`
8×	`frac-times_binary64_3457` `associate-r_binary64_3389` `pow1_binary64_3505`
6×	`add-log-exp_binary64_3483` `associate-l/_binary64_3392` `associate-l*_binary64_3390`
4×	`distribute-lft-in_binary64_3398` `sub-div_binary64_3454` `distribute-rgt-in_binary64_3399`
3×	`cbrt-unprod_binary64_3477` `associate-/r*_binary64_3393` `times-frac_binary64_3453` `prod-exp_binary64_3493`
2×	`associate--l+_binary64_3386` `div-exp_binary64_3495` `distribute-lft-out_binary64_3400` `associate-/r/_binary64_3395` `cbrt-undiv_binary64_3478` `*-commutative_binary64_3380` `unswap-sqr_binary64_3415` `pow-prod-down_binary64_3515` `associate--r+_binary64_3385` `associate-/l/_binary64_3396`
1×	`distribute-rgt-out--_binary64_3403` `flip--_binary64_3422` `frac-2neg_binary64_3458` `clear-num_binary64_3446` `flip3--_binary64_3451` `diff-log_binary64_3536` `sub-neg_binary64_3440` `div-inv_binary64_3444` `associate-/l*_binary64_3394`

Counts

4 → 107

Calls

4 calls:

21.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))
12.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
11.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
7.0ms	(*.f64 3 (+.f64 d2 d3))

series851.0ms (23.7%)

Counts

4 → 12

Calls

4 calls:

514.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))
250.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
53.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
33.0ms	(*.f64 3 (+.f64 d2 d3))

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4929	3035
1	4929	3035

prune160.0ms (4.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	119	5	124

Merged error: 0b

Counts

124 → 5

Compiler

Compiled 4197 to 2042 computations (51.3% saved)

regimes40.0ms (1.1%)

Compiler: Compiled 234 to 192 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample612.0ms (17.1%)

Algorithm

1×

intervals

Results

234.0ms	7492×	body	128	valid
20.0ms	677×	body	128	invalid
18.0ms	165×	body	1024	valid
17.0ms	216×	body	512	valid
7.0ms	127×	body	256	valid

Compiler

Compiled 102 to 85 computations (16.7% saved)

Details

analyze286.0ms (8%)

sample17.0ms (0.5%)

simplify166.0ms (4.6%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite12.0ms (0.3%)

series63.0ms (1.7%)

simplify110.0ms (3.1%)

prune26.0ms (0.7%)

localize7.0ms (0.2%)

rewrite50.0ms (1.4%)

series261.0ms (7.3%)

simplify52.0ms (1.5%)

prune103.0ms (2.9%)

localize9.0ms (0.2%)

rewrite37.0ms (1%)

series389.0ms (10.9%)

simplify62.0ms (1.7%)

prune99.0ms (2.7%)

localize13.0ms (0.4%)

rewrite69.0ms (1.9%)

series851.0ms (23.7%)

simplify80.0ms (2.2%)

prune160.0ms (4.5%)

regimes40.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample612.0ms (17.1%)

Profiling