Details

analyze110.0ms (7%)

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 (1.3%)

Algorithm

1×

intervals

Results

8.0ms	249×	body	128	valid
1.0ms	5×	body	1024	valid
0.0ms	4×	body	128	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`
5×	`distribute-rgt-out_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

prune3.0ms (0.2%)

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

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 30))
	0.2b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))

Compiler

Compiled 47 to 33 computations (29.8% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 23

Calls

1 calls:

4.0ms

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

Compiler

Compiled 230 to 155 computations (32.6% saved)

series15.0ms (1%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

10.0ms

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

Compiler

Compiled 136 to 90 computations (33.8% saved)

simplify69.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

32 → 26

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	296
1	123	266
2	365	266
3	838	266
4	2523	266
5	2608	266
6	3046	266
7	5098	266

prune14.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

Counts

28 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
▶	13.0b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
	17.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

Compiler

Compiled 262 to 178 computations (32.1% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 d2 d2) 900)
3.9b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
8.4b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite63.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 73

Calls

3 calls:

7.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
6.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
3.0ms	(-.f64 (*.f64 d2 d2) 900)

Compiler

Compiled 1322 to 786 computations (40.5% saved)

series44.0ms (2.8%)

Error

Counts

3 → 24

Calls

3 calls:

18.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
14.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
7.0ms	(-.f64 (*.f64 d2 d2) 900)

Compiler

Compiled 537 to 393 computations (26.8% saved)

simplify81.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-/l*_binary64`
533×	`times-frac_binary64`
333×	`associate-*l/_binary64`
267×	`associate-/l/_binary64`
246×	`distribute-rgt-in_binary64`

Counts

97 → 74

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	135	1369
1	310	1195
2	1107	1195
3	4742	1195
4	4915	1195

prune24.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Error

Counts

77 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))
✓	13.0b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
▶	17.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

Compiler

Compiled 683 to 427 computations (37.5% saved)

localize11.0ms (0.7%)

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)))
3.5b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
14.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

rewrite88.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-log-exp_binary64`
11×	`add-exp-log_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

4 → 75

Calls

4 calls:

12.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
7.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
5.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
4.0ms	(+.f64 (pow.f64 d2 3) 27000)

Compiler

Compiled 2132 to 1513 computations (29% saved)

series86.0ms (5.5%)

Error

Counts

4 → 33

Calls

4 calls:

35.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
19.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
13.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
9.0ms	(+.f64 (pow.f64 d2 3) 27000)

Compiler

Compiled 1103 to 822 computations (25.5% saved)

simplify90.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

686×	`distribute-rgt-in_binary64`
664×	`distribute-lft-in_binary64`
507×	`times-frac_binary64`
214×	`associate-/l/_binary64`
104×	`associate-l_binary64`

Counts

108 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1938
1	355	1555
2	1458	1550
3	4973	1550
4	4943	1550

prune52.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Error

Counts

92 → 3

Alt Table

Status	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 30))
	13.0b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
	17.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

Compiler

Compiled 1516 to 1108 computations (26.9% saved)

regimes193.0ms (12.4%)

Accuracy

Total 0.0b remaining (73.3%)

Threshold costs 0.0b (73.3%)

Compiler

Compiled 2870 to 2105 computations (26.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms (0%)

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

sample559.0ms (35.8%)

Algorithm

1×

intervals

Results

276.0ms	7870×	body	128	valid
14.0ms	84×	body	1024	valid
3.0ms	83×	body	128	invalid
3.0ms	29×	body	512	valid
1.0ms	16×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 64 to 47 computations (26.6% saved)

Details

analyze110.0ms (7%)

sample20.0ms (1.3%)

simplify9.0ms (0.6%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite17.0ms (1.1%)

series15.0ms (1%)

simplify69.0ms (4.4%)

prune14.0ms (0.9%)

localize6.0ms (0.4%)

rewrite63.0ms (4%)

series44.0ms (2.8%)

simplify81.0ms (5.2%)

prune24.0ms (1.5%)

localize11.0ms (0.7%)

rewrite88.0ms (5.6%)

series86.0ms (5.5%)

simplify90.0ms (5.8%)

prune52.0ms (3.3%)

regimes193.0ms (12.4%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample559.0ms (35.8%)

Profiling