Details

analyze136.0ms (5.3%)

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
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample24.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

valid

simplify107.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4906	31
1	4906	31

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize19.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))))))
0.1b	(.f64 (.f64 a a) (+.f64 1.0 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
0.8b	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-*r/_binary64`
3×	`pow-unpow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow-prod-down_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip-+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 77

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))))))
9.0ms	(.f64 (.f64 a a) (+.f64 1.0 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)

series76.0ms (3%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))))))
26.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
9.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
7.0ms	(.f64 (.f64 a a) (+.f64 1.0 a))

simplify29.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5653	1261

prune149.0ms (5.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

localize24.0ms (1%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
9.7b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))
9.7b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))
9.7b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))

rewrite34.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `pow1/3_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 62

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))
8.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))

series180.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))
57.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))
57.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a))) (.f64 (.f64 a a) (+.f64 1.0 a))))))
9.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4936	2250
1	4936	2250

prune251.0ms (9.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))
0.0b	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
2.6b	(.f64 (.f64 b b) (*.f64 a a))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1_binary64`
33×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`pow-prod-down_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`-un-lft-identity_binary64` `pow-prod-up_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `pow-plus_binary64` `add-sqr-sqrt_binary64`
2×	`associate-r_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 67

Calls

3 calls:

12.0ms	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))
6.0ms	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))

series29.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))
9.0ms	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
8.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify31.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5466	665

prune95.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1.0 a))
0.3b	(pow.f64 (/.f64 1 a) -4.0)
0.8b	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))

rewrite40.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r/_binary64`
16×	`add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
13×	`unpow-prod-down_binary64`
10×	`associate-r_binary64`
9×	`times-frac_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-l_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `frac-add_binary64` `flip-+_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `div-exp_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `1-exp_binary64` `sqr-pow_binary64` `inv-pow_binary64` `rec-exp_binary64` `div-inv_binary64` `pow-flip_binary64`

Counts

4 → 105

Calls

4 calls:

14.0ms	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a)))))
10.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
8.0ms	(.f64 (.f64 a a) (+.f64 1.0 a))
5.0ms	(pow.f64 (/.f64 1 a) -4.0)

series49.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a)))))
16.0ms	(pow.f64 (/.f64 1 a) -4.0)
9.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
7.0ms	(.f64 (.f64 a a) (+.f64 1.0 a))

simplify55.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4961	1476
1	4961	1476

prune197.0ms (7.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

regimes204.0ms (8%)

Accuracy

Total 0.2b remaining (87.4%)

Threshold costs 0.2b (87.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	31
1	61	31

end0.0ms (0%)

sample659.0ms (25.9%)

Algorithm

1×

intervals

Results

524.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze136.0ms (5.3%)

sample24.0ms (0.9%)

simplify107.0ms (4.2%)

prune6.0ms (0.2%)

localize19.0ms (0.7%)

rewrite34.0ms (1.3%)

series76.0ms (3%)

simplify29.0ms (1.1%)

prune149.0ms (5.9%)

localize24.0ms (1%)

rewrite34.0ms (1.4%)

series180.0ms (7.1%)

simplify53.0ms (2.1%)

prune251.0ms (9.9%)

localize13.0ms (0.5%)

rewrite30.0ms (1.2%)

series29.0ms (1.1%)

simplify31.0ms (1.2%)

prune95.0ms (3.7%)

localize16.0ms (0.6%)

rewrite40.0ms (1.6%)

series49.0ms (1.9%)

simplify55.0ms (2.2%)

prune197.0ms (7.8%)

regimes204.0ms (8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample659.0ms (25.9%)

Profiling