Details

analyze68.0ms (7.9%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample18.0ms (2.1%)

Algorithm

1×

intervals

Results

7.0ms	247×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify14.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune6.0ms (0.7%)

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 21 to 19 computations (9.5% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite7.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 30))

series7.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 30))

simplify83.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4882	233
1	4882	233

prune26.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

Compiler

Compiled 276 to 192 computations (30.4% saved)

localize7.0ms (0.8%)

Local error

Found 2 expressions with local error:

2.7b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
11.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite22.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
8.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

series28.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
11.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

simplify81.0ms (9.4%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	6477	848

prune37.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	59	3	62

Merged error: 0b

Counts

62 → 3

Compiler

Compiled 916 to 557 computations (39.2% saved)

localize7.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 d1 (/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900)))
11.5b	(/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900))

rewrite35.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
148×	`add-sqr-sqrt_binary64`
122×	`*-un-lft-identity_binary64`
80×	`add-cube-cbrt_binary64`
47×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
21×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 168

Calls

2 calls:

13.0ms	(/.f64 d1 (/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900)))
12.0ms	(/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900))

series19.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 d1 (/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900)))
4.0ms	(/.f64 (-.f64 d2 30) (-.f64 (*.f64 d2 d2) 900))

simplify88.0ms (10.3%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5066	4738

prune133.0ms (15.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	174	3	177

Merged error: 0b

Counts

177 → 3

Compiler

Compiled 3774 to 2245 computations (40.5% saved)

localize8.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite31.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
8.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
4.0ms	(sqrt.f64 (+.f64 d2 30))
3.0ms	(sqrt.f64 (+.f64 d2 30))

series25.0ms (3%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
6.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
5.0ms	(sqrt.f64 (+.f64 d2 30))
4.0ms	(sqrt.f64 (+.f64 d2 30))

simplify94.0ms (11%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4998	1446
1	4998	1446

Details

analyze68.0ms (7.9%)

sample18.0ms (2.1%)

simplify14.0ms (1.6%)

prune6.0ms (0.7%)

localize4.0ms (0.4%)

rewrite7.0ms (0.9%)

series7.0ms (0.8%)

simplify83.0ms (9.7%)

prune26.0ms (3.1%)

localize7.0ms (0.8%)

rewrite22.0ms (2.5%)

series28.0ms (3.2%)

simplify81.0ms (9.4%)

prune37.0ms (4.3%)

localize7.0ms (0.8%)

rewrite35.0ms (4.1%)

series19.0ms (2.3%)

simplify88.0ms (10.3%)

prune133.0ms (15.5%)

localize8.0ms (1%)

rewrite31.0ms (3.6%)

series25.0ms (3%)

simplify94.0ms (11%)

prune9.0ms (1%)

Profiling