Details

analyze92.0ms (4.8%)

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
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 14 to 10 computations (28.6% saved)

sample20.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	253×	body	128	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-+r+_binary64`
4×	`associate-+l+_binary64`
2×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	19	10
2	33	7
3	43	7
4	44	7
5	42	7

prune4.0ms (0.2%)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 23

Calls

1 calls:

7.0ms

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

Compiler

Compiled 230 to 155 computations (32.6% saved)

series21.0ms (1.1%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

17.0ms

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

Compiler

Compiled 131 to 87 computations (33.6% saved)

simplify75.0ms (4%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64`
894×	`distribute-lft-in_binary64`
522×	`associate-*l/_binary64`
429×	`associate-*r/_binary64`
247×	`associate-l_binary64`

Counts

32 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	296
1	123	266
2	364	266
3	838	266
4	2523	266
5	2608	266
6	3046	266
7	5098	266

prune11.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Error

Counts

15 → 3

Alt Table

Status	Error	Program
▶	19.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
	37.6b	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 30) (sqrt.f64 d1)))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 154 to 104 computations (32.5% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 d2 3) 27000)
0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
2.2b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
16.6b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

rewrite120.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64`

Counts

4 → 75

Calls

4 calls:

18.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
9.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
6.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
6.0ms	(+.f64 (pow.f64 d2 3) 27000)

Compiler

Compiled 2132 to 1513 computations (29% saved)

series115.0ms (6.1%)

Error

Counts

4 → 33

Calls

4 calls:

43.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
29.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
16.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
13.0ms	(+.f64 (pow.f64 d2 3) 27000)

Compiler

Compiled 1050 to 785 computations (25.2% saved)

simplify96.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

585×	`distribute-rgt-in_binary64`
565×	`distribute-lft-in_binary64`
507×	`times-frac_binary64`
214×	`associate-/l/_binary64`
201×	`div-sub_binary64`

Counts

108 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1947
1	352	1557
2	1400	1552
3	4678	1552
4	5263	1552

prune49.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	69	2	71

Error

Counts

71 → 2

Alt Table

Status	Error	Program
▶	19.6b	(/.f64 1 (/.f64 (+.f64 900 (.f64 d2 (+.f64 d2 -30))) (.f64 d1 (+.f64 (pow.f64 d2 3) 27000))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 1142 to 841 computations (26.4% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 d2 3) 27000)
0.3b	(/.f64 1 (/.f64 (+.f64 900 (.f64 d2 (+.f64 d2 -30))) (.f64 d1 (+.f64 (pow.f64 d2 3) 27000))))
2.2b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
16.8b	(/.f64 (+.f64 900 (.f64 d2 (+.f64 d2 -30))) (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)))

rewrite171.0ms (9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64`
32×	`add-exp-log_binary64`
30×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`

Counts

4 → 124

Calls

4 calls:

13.0ms	(/.f64 1 (/.f64 (+.f64 900 (.f64 d2 (+.f64 d2 -30))) (.f64 d1 (+.f64 (pow.f64 d2 3) 27000))))
12.0ms	(/.f64 (+.f64 900 (.f64 d2 (+.f64 d2 -30))) (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)))
9.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
6.0ms	(+.f64 (pow.f64 d2 3) 27000)

Compiler

Compiled 3406 to 2687 computations (21.1% saved)

series146.0ms (7.7%)

Error

Counts

4 → 39

Calls

4 calls:

45.0ms	(/.f64 (+.f64 900 (.f64 d2 (+.f64 d2 -30))) (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)))
44.0ms	(/.f64 1 (/.f64 (+.f64 900 (.f64 d2 (+.f64 d2 -30))) (.f64 d1 (+.f64 (pow.f64 d2 3) 27000))))
27.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
13.0ms	(+.f64 (pow.f64 d2 3) 27000)

Compiler

Compiled 1313 to 1010 computations (23.1% saved)

simplify184.0ms (9.7%)

Algorithm

1×	egg-herbie

Rules

885×	`times-frac_binary64`
764×	`distribute-rgt-in_binary64`
149×	`exp-prod_binary64`
148×	`cancel-sign-sub-inv_binary64`
130×	`associate-r_binary64`

Counts

163 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	4093
1	491	3538
2	1899	3509
3	4813	3509
4	4985	3509
5	4966	3509

prune52.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Error

Counts

107 → 2

Alt Table

Status	Error	Program
	19.6b	(/.f64 1 (/.f64 (+.f64 900 (.f64 d2 (+.f64 d2 -30))) (.f64 d1 (+.f64 (pow.f64 d2 3) 27000))))
	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 1291 to 977 computations (24.3% saved)

regimes137.0ms (7.2%)

Accuracy

Total 0.0b remaining (51.4%)

Threshold costs 0.0b (51.4%)

Compiler

Compiled 1415 to 1052 computations (25.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end1.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample539.0ms (28.4%)

Algorithm

1×

intervals

Results

238.0ms	7859×	body	128	valid
8.0ms	82×	body	1024	valid
2.0ms	71×	body	128	invalid
2.0ms	24×	body	512	valid
2.0ms	35×	body	256	valid

Compiler

Compiled 49 to 37 computations (24.5% saved)

Details

analyze92.0ms (4.8%)

sample20.0ms (1%)

simplify9.0ms (0.5%)

prune4.0ms (0.2%)

localize3.0ms (0.2%)

rewrite25.0ms (1.3%)

series21.0ms (1.1%)

simplify75.0ms (4%)

prune11.0ms (0.6%)

localize12.0ms (0.6%)

rewrite120.0ms (6.3%)

series115.0ms (6.1%)

simplify96.0ms (5.1%)

prune49.0ms (2.6%)

localize13.0ms (0.7%)

rewrite171.0ms (9%)

series146.0ms (7.7%)

simplify184.0ms (9.7%)

prune52.0ms (2.7%)

regimes137.0ms (7.2%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample539.0ms (28.4%)

Profiling