Details

analyze408.0ms (8.2%)

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)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	235×	body	128	valid
1.0ms	9×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	14×	body	128	invalid
0.0ms	6×	body	256	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

prune5.0ms (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 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
▶	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 58 to 39 computations (32.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64` `associate-r_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `distribute-lft-out_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` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

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

Compiler

Compiled 303 to 157 computations (48.2% saved)

series237.0ms (4.8%)

Error

0.1b

Counts

1 → 15

Calls

1 calls:

26.0ms

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

Compiler

Compiled 305 to 197 computations (35.4% saved)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
746×	`distribute-rgt-in_binary64`
739×	`distribute-lft-in_binary64`
331×	`associate-l_binary64`
295×	`sub-neg_binary64`

Counts

39 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	447
1	154	405
2	589	405
3	2215	405
4	2795	405
5	3749	405
6	5146	405

prune22.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Error

0.0b

Counts

29 → 4

Alt Table

Status	Error	Program
▶	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3)))) (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
	25.8b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	31.6b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d3 d2) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

Compiler

Compiled 408 to 252 computations (38.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))

rewrite105.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))
7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))

Compiler

Compiled 2493 to 1672 computations (32.9% saved)

series566.0ms (11.4%)

Error

0.0b

Counts

4 → 79

Calls

4 calls:

172.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3)))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
92.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))
91.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))
91.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))

Compiler

Compiled 11397 to 8718 computations (23.5% saved)

simplify157.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

729×	`times-frac_binary64`
242×	`associate-r_binary64`
238×	`unswap-sqr_binary64`
219×	`sub-neg_binary64`
193×	`*-commutative_binary64`

Counts

151 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	6414
1	1005	6031
2	3174	5773
3	5161	5773

prune130.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Error

0.0b

Counts

124 → 5

Alt Table

Status	Error	Program
▶	2.4b	(.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
✓	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3)))) (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
	25.8b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	31.6b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d3 d2) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

Compiler

Compiled 5024 to 2983 computations (40.6% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)

rewrite154.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`unpow-prod-down_binary64`
20×	`cbrt-prod_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`pow-unpow_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)
2.0ms	(cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))

Compiler

Compiled 4309 to 3248 computations (24.6% saved)

series933.0ms (18.8%)

Error

0.0b

Counts

4 → 76

Calls

4 calls:

227.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)
226.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)
223.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)
107.0ms	(cbrt.f64 (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))

Compiler

Compiled 14477 to 11295 computations (22% saved)

simplify161.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

863×	`times-frac_binary64`
309×	`cancel-sign-sub-inv_binary64`
231×	`unswap-sqr_binary64`
173×	`sqr-pow_binary64`
165×	`sub-neg_binary64`

Counts

156 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	6467
1	848	6131
2	2592	5872
3	5071	5872

prune165.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	125	5	130

Error

0.0b

Counts

130 → 5

Alt Table

Status	Error	Program
✓	2.4b	(.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) 6))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
✓	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3)))) (cbrt.f64 (.f64 d1 (+.f64 d3 (+.f64 d2 3))))) (cbrt.f64 (*.f64 d1 (+.f64 d3 (+.f64 d2 3)))))
▶	25.8b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	31.6b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d3 d2) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

Compiler

Compiled 6354 to 4367 computations (31.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
9.5b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
14.9b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))

rewrite115.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `associate-r_binary64`

Counts

3 → 96

Calls

3 calls:

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

Compiler

Compiled 2263 to 878 computations (61.2% saved)

series211.0ms (4.3%)

Error

Counts

3 → 54

Calls

3 calls:

82.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
75.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
30.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))

Compiler

Compiled 2416 to 1681 computations (30.4% saved)

simplify158.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

953×	`times-frac_binary64`
189×	`associate-l_binary64`
183×	`associate-r_binary64`
162×	`div-sub_binary64`
151×	`sub-neg_binary64`

Counts

150 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	3132
1	656	2770
2	2604	2689
3	4591	2547
4	4993	2547
5	4938	2547

prune73.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	0	1
Picked	0	1	1
Done	2	1	3
Total	136	4	140

Error

Counts

140 → 4

Alt Table

Status	Error	Program
	24.8b	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d3 d2)) (-.f64 9 (pow.f64 (+.f64 d3 d2) 2))))
	27.8b	(.f64 (/.f64 d1 (-.f64 3 (+.f64 d3 d2))) (-.f64 9 (+.f64 (.f64 d3 d3) (.f64 d2 (+.f64 d2 (.f64 d3 2))))))
	25.8b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 1776 to 923 computations (48% saved)

regimes495.0ms (10%)

Accuracy

Total 0.0b remaining (76.6%)

Threshold costs 0.0b (76.6%)

Compiler

Compiled 7572 to 5072 computations (33% saved)

simplify3.0ms (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

end8.0ms (0.2%)

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

sample666.0ms (13.4%)

Algorithm

1×

intervals

Results

238.0ms	7498×	body	128	valid
21.0ms	201×	body	512	valid
20.0ms	680×	body	128	invalid
18.0ms	170×	body	1024	valid
7.0ms	131×	body	256	valid

Compiler

Compiled 100 to 67 computations (33% saved)

Details

analyze408.0ms (8.2%)

sample25.0ms (0.5%)

simplify9.0ms (0.2%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

rewrite35.0ms (0.7%)

series237.0ms (4.8%)

simplify78.0ms (1.6%)

prune22.0ms (0.4%)

localize13.0ms (0.3%)

rewrite105.0ms (2.1%)

series566.0ms (11.4%)

simplify157.0ms (3.2%)

prune130.0ms (2.6%)

localize20.0ms (0.4%)

rewrite154.0ms (3.1%)

series933.0ms (18.8%)

simplify161.0ms (3.2%)

prune165.0ms (3.3%)

localize12.0ms (0.2%)

rewrite115.0ms (2.3%)

series211.0ms (4.3%)

simplify158.0ms (3.2%)

prune73.0ms (1.5%)

regimes495.0ms (10%)

simplify3.0ms (0.1%)

end8.0ms (0.2%)

sample666.0ms (13.4%)

Profiling