Details

analyze336.0ms (5.1%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
0.0ms	2×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify765.0ms (11.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (614.0ms)

Iter	Nodes	Cost
0	5786	12

prune4.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.3b	(*.f64 x (log.f64 y))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`associate--l+_binary64_15`
18×	`add-sqr-sqrt_binary64_100` `log-prod_binary64_164`
16×	`*-un-lft-identity_binary64_78`
14×	`add-cube-cbrt_binary64_113`
10×	`add-log-exp_binary64_117`
9×	`distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28` `cancel-sign-sub-inv_binary64_44`
6×	`pow1_binary64_139`
5×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
4×	`diff-log_binary64_170` `associate-r_binary64_18`
3×	`associate-l_binary64_19` `sub-neg_binary64_71`
2×	`flip3--_binary64_82` `flip--_binary64_53`
1×	`*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `distribute-lft-out--_binary64_30` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `difference-of-squares_binary64_47` `log-pow_binary64_167` `associate--l-_binary64_16`

Counts

3 → 73

Calls

3 calls:

23.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
10.0ms	(*.f64 x (log.f64 y))
9.0ms	(-.f64 (*.f64 x (log.f64 y)) z)

series180.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

71.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
55.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
54.0ms	(*.f64 x (log.f64 y))

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4989	953
1	4989	953

prune109.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	8	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	9	83

Merged error: 0.0b

Counts

83 → 9

Compiler

Compiled 1182 to 320 computations (72.9% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-+r+_binary64_10` `log-prod_binary64_164` `cbrt-prod_binary64_109`
11×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
6×	`distribute-lft-in_binary64_27` `add-log-exp_binary64_117` `distribute-rgt-in_binary64_28`
3×	`associate-l_binary64_19` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`pow1/3_binary64_160`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `flip-+_binary64_52` `associate-r*_binary64_18` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

4 → 64

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
9.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series587.0ms (9%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt.f64 y)
146.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
145.0ms	(cbrt.f64 y)
140.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))

simplify162.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4881	730
1	4881	730

prune134.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	4	3	7
Picked	0	1	1
Done	1	0	1
Total	78	7	85

Merged error: 0b

Counts

85 → 7

Compiler

Compiled 1523 to 685 computations (55% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_164`
19×	`add-sqr-sqrt_binary64_100`
17×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
15×	`unpow-prod-down_binary64_157`
14×	`distribute-lft-in_binary64_27` `associate-+r+_binary64_10` `distribute-rgt-in_binary64_28`
7×	`add-exp-log_binary64_116` `pow1_binary64_139`
6×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117`
5×	`sqr-pow_binary64_50`
4×	`associate-r_binary64_18`
3×	`associate-l_binary64_19` `cbrt-prod_binary64_109` `pow-unpow_binary64_155`
1×	`+-commutative_binary64_8` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip-+_binary64_52` `pow1/3_binary64_160` `pow-pow_binary64_150` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `unpow1/3_binary64_145` `distribute-lft-out_binary64_29` `log-pow_binary64_167` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

4 → 88

Calls

4 calls:

16.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
11.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
4.0ms	(pow.f64 y 1/3)
2.0ms	(cbrt.f64 y)

series605.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
156.0ms	(cbrt.f64 y)
126.0ms	(pow.f64 y 1/3)
120.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))

simplify204.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	5062	908

prune173.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

Compiler

Compiled 2048 to 1019 computations (50.2% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 (log.f64 y) 5/6))
0.3b	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
0.4b	(*.f64 (log.f64 y) 5/6)
0.6b	(cbrt.f64 y)

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_139`
14×	`add-sqr-sqrt_binary64_100` `associate-l_binary64_19`
13×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`associate-r_binary64_18`
5×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149` `log-pow_binary64_167`
4×	`add-log-exp_binary64_117`
3×	`*-commutative_binary64_9` `cbrt-prod_binary64_109`
2×	`sqrt-pow1_binary64_96` `pow1/3_binary64_160` `unswap-sqr_binary64_46`
1×	`pow1/2_binary64_158`

Counts

4 → 70

Calls

4 calls:

9.0ms	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
9.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
7.0ms	(*.f64 (log.f64 y) 5/6)
2.0ms	(cbrt.f64 y)

series497.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
161.0ms	(cbrt.f64 y)
96.0ms	(*.f64 (log.f64 y) 5/6)
61.0ms	(.f64 x (.f64 (log.f64 y) 5/6))

simplify161.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4956	768
1	4956	768

prune389.0ms (5.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	82	7	89

Merged error: 0b

Counts

89 → 7

Compiler

Compiled 1670 to 713 computations (57.3% saved)

regimes250.0ms (3.8%)

Compiler: Compiled 1278 to 892 computations (30.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	12
1	27	12

end0.0ms (0%)

sample1.6s (24%)

Algorithm

1×

intervals

Results

602.0ms	7999×	body	128	valid
2.0ms	31×	body	128	invalid
2.0ms	37×	body	128	nan
1.0ms	1×	body	1024	valid

Compiler

Compiled 331 to 233 computations (29.6% saved)

Details

analyze336.0ms (5.1%)

sample29.0ms (0.4%)

simplify765.0ms (11.7%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

rewrite51.0ms (0.8%)

series180.0ms (2.8%)

simplify105.0ms (1.6%)

prune109.0ms (1.7%)

localize26.0ms (0.4%)

rewrite35.0ms (0.5%)

series587.0ms (9%)

simplify162.0ms (2.5%)

prune134.0ms (2.1%)

localize30.0ms (0.5%)

rewrite52.0ms (0.8%)

series605.0ms (9.3%)

simplify204.0ms (3.1%)

prune173.0ms (2.6%)

localize30.0ms (0.5%)

rewrite35.0ms (0.5%)

series497.0ms (7.6%)

simplify161.0ms (2.5%)

prune389.0ms (5.9%)

regimes250.0ms (3.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (24%)

Profiling