Details

analyze517.0ms (16.5%)

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 15 to 10 computations (33.3% saved)

sample29.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	235×	body	128	valid
1.0ms	10×	body	1024	valid
1.0ms	19×	body	128	invalid
1.0ms	5×	body	512	valid
0.0ms	6×	body	256	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-+r+_binary64`
6×	`associate-+l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

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

prune3.0ms (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

Error

0.1b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

Compiler

Compiled 58 to 39 computations (32.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 24

Calls

1 calls:

6.0ms

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

Compiler

Compiled 303 to 157 computations (48.2% saved)

series24.0ms (0.8%)

Error

0.1b

Counts

1 → 15

Calls

1 calls:

19.0ms

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

Compiler

Compiled 323 to 205 computations (36.5% saved)

simplify103.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

949×	`distribute-rgt-in_binary64`
943×	`distribute-lft-in_binary64`
394×	`associate-l_binary64`
388×	`sqr-pow_binary64`
352×	`sub-neg_binary64`

Counts

39 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	447
1	156	405
2	648	405
3	2568	405
4	2936	405
5	4111	405
6	4594	405
7	4279	405
8	5075	405

prune12.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Error

0.0b

Counts

22 → 5

Alt Table

Status	Error	Program
	25.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	34.3b	(/.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)))))
▶	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
	39.8b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))) 3))

Compiler

Compiled 274 to 157 computations (42.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`+-commutative_binary64`
2×	`flip-+_binary64`

Counts

2 → 26

Calls

2 calls:

5.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
3.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 529 to 241 computations (54.4% saved)

series45.0ms (1.4%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

25.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
11.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 560 to 344 computations (38.6% saved)

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-l_binary64`
499×	`associate-r_binary64`
492×	`distribute-rgt-in_binary64`
453×	`sub-neg_binary64`
452×	`distribute-lft-in_binary64`

Counts

50 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	581
1	215	539
2	809	533
3	3154	530
4	4527	530
5	5088	530

prune25.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	41	5	46

Error

0.0b

Counts

46 → 5

Alt Table

Status	Error	Program
▶	25.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	33.2b	(/.f64 (.f64 d1 (.f64 (.f64 d1 (+.f64 d2 (+.f64 3 d3))) (-.f64 (+.f64 d2 3) d3))) (.f64 d1 (-.f64 (+.f64 d2 3) d3)))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
	31.4b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))

Compiler

Compiled 463 to 279 computations (39.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.9b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
16.9b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite184.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
13×	`pow1_binary64`

Counts

4 → 111

Calls

4 calls:

9.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
9.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
7.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
3.0ms	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))

Compiler

Compiled 2653 to 1020 computations (61.6% saved)

series226.0ms (7.2%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

106.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
52.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
29.0ms	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
22.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

Compiler

Compiled 2975 to 2080 computations (30.1% saved)

simplify136.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

901×	`times-frac_binary64`
269×	`cancel-sign-sub-inv_binary64`
179×	`associate-r_binary64`
179×	`associate-l_binary64`
146×	`sub-neg_binary64`

Counts

183 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	238	3738
1	670	3249
2	2531	3149
3	4746	2981
4	4958	2981

prune58.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	165	6	171

Error

0.0b

Counts

171 → 6

Alt Table

Status	Error	Program
✓	25.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	33.2b	(/.f64 (.f64 d1 (.f64 (.f64 d1 (+.f64 d2 (+.f64 3 d3))) (-.f64 (+.f64 d2 3) d3))) (.f64 d1 (-.f64 (+.f64 d2 3) d3)))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
▶	31.4b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
	41.3b	(/.f64 (.f64 d1 (-.f64 (pow.f64 9 3) (pow.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) 3))) (.f64 (-.f64 3 (+.f64 d2 d3)) (+.f64 81 (+.f64 (pow.f64 (+.f64 d2 d3) 4) (.f64 9 (pow.f64 (+.f64 d2 d3) 2))))))

Compiler

Compiled 2171 to 1140 computations (47.5% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 9 (*.f64 d2 d2))
0.0b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
8.6b	(.f64 (.f64 d1 d1) (-.f64 9 (*.f64 d2 d2)))
27.5b	(/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2)))

rewrite90.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
12×	`cbrt-unprod_binary64`
12×	`prod-exp_binary64`
9×	`pow1_binary64`

Counts

4 → 79

Calls

4 calls:

12.0ms	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
11.0ms	(/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2)))
6.0ms	(.f64 (.f64 d1 d1) (-.f64 9 (*.f64 d2 d2)))
2.0ms	(-.f64 9 (*.f64 d2 d2))

Compiler

Compiled 2361 to 1098 computations (53.5% saved)

series123.0ms (3.9%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

47.0ms	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
21.0ms	(-.f64 9 (*.f64 d2 d2))
21.0ms	(/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2)))
19.0ms	(.f64 (.f64 d1 d1) (-.f64 9 (*.f64 d2 d2)))

Compiler

Compiled 1458 to 998 computations (31.6% saved)

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

623×	`distribute-rgt-in_binary64`
595×	`distribute-lft-in_binary64`
249×	`times-frac_binary64`
199×	`associate-l_binary64`
155×	`associate-r_binary64`

Counts

118 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2286
1	490	1827
2	2137	1802
3	5832	1802

prune39.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	0	2
Picked	0	1	1
Done	0	3	3
Total	92	6	98

Error

0.0b

Counts

98 → 6

Alt Table

Status	Error	Program
	25.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	38.5b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 (pow.f64 9 3) (pow.f64 (.f64 d2 d2) 3))) (.f64 (.f64 d1 (-.f64 3 d2)) (+.f64 81 (+.f64 (pow.f64 d2 4) (.f64 9 (.f64 d2 d2)))))) (.f64 d1 d3))
	34.9b	(+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (-.f64 9 (.f64 d2 d2)) d1) (-.f64 3 d2)) 3)) (*.f64 d1 d3))
	31.4b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

Compiler

Compiled 1233 to 653 computations (47% saved)

regimes429.0ms (13.6%)

Accuracy

Total 0.1b remaining (80.3%)

Threshold costs 0.1b (80.3%)

Compiler

Compiled 7502 to 4879 computations (35% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	11	10

end6.0ms (0.2%)

Remove: (sort d2 d3)
Compiler: Compiled 30 to 21 computations (30% saved)

sample849.0ms (27%)

Algorithm

1×

intervals

Results

298.0ms	7498×	body	128	valid
34.0ms	179×	body	1024	valid
31.0ms	702×	body	128	invalid
21.0ms	182×	body	512	valid
10.0ms	141×	body	256	valid

Compiler

Compiled 153 to 102 computations (33.3% saved)

Details

analyze517.0ms (16.5%)

sample29.0ms (0.9%)

simplify11.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite22.0ms (0.7%)

series24.0ms (0.8%)

simplify103.0ms (3.3%)

prune12.0ms (0.4%)

localize7.0ms (0.2%)

rewrite28.0ms (0.9%)

series45.0ms (1.4%)

simplify71.0ms (2.3%)

prune25.0ms (0.8%)

localize9.0ms (0.3%)

rewrite184.0ms (5.8%)

series226.0ms (7.2%)

simplify136.0ms (4.3%)

prune58.0ms (1.8%)

localize12.0ms (0.4%)

rewrite90.0ms (2.9%)

series123.0ms (3.9%)

simplify75.0ms (2.4%)

prune39.0ms (1.3%)

regimes429.0ms (13.6%)

simplify4.0ms (0.1%)

end6.0ms (0.2%)

sample849.0ms (27%)

Profiling