Details

analyze122.0ms (7.1%)

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%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample20.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify117.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5108	11

prune5.0ms (0.3%)

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: 7.6b

Counts

2 → 1

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1.0))
7.0b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))

rewrite23.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`associate-/r_binary64` `pow1_binary64` `associate-r_binary64` `associate-r/_binary64` `times-frac_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 50

Calls

2 calls:

13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))
9.0ms	(*.f64 x (+.f64 (/.f64 x y) 1.0))

series14.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1.0)) (+.f64 x 1.0))
6.0ms	(*.f64 x (+.f64 (/.f64 x y) 1.0))

simplify52.0ms (3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	591
1	4968	591

prune87.0ms (5.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Merged error: 0b

Counts

57 → 6

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 x (/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0)))
0.1b	(/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0))

rewrite34.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64`
146×	`times-frac_binary64`
71×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
6×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 146

Calls

2 calls:

17.0ms	(/.f64 x (/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0)))
11.0ms	(/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0))

series19.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0))
8.0ms	(/.f64 x (/.f64 (+.f64 x 1.0) (+.f64 (/.f64 x y) 1.0)))

simplify66.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4998	2646
1	4998	2646

prune188.0ms (10.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	152	6	158

Merged error: 0b

Counts

158 → 6

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0))
0.1b	(*.f64 x (/.f64 x y))
7.0b	(/.f64 (+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0)) (+.f64 x 1.0))

rewrite26.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64` `times-frac_binary64`
21×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
11×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 84

Calls

3 calls:

11.0ms	(/.f64 (+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0)) (+.f64 x 1.0))
7.0ms	(*.f64 x (/.f64 x y))
6.0ms	(+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0))

series20.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 (+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0)) (+.f64 x 1.0))
6.0ms	(+.f64 (.f64 x (/.f64 x y)) (.f64 x 1.0))
4.0ms	(*.f64 x (/.f64 x y))

simplify79.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5554	1057

prune108.0ms (6.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	94	5	99

Merged error: 0b

Counts

99 → 5

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0))
7.0b	(/.f64 (+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0)) (+.f64 x 1.0))
10.4b	(/.f64 (*.f64 x x) y)

rewrite24.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/r*_binary64`
5×	`add-log-exp_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 67

Calls

3 calls:

11.0ms	(/.f64 (+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0)) (+.f64 x 1.0))
6.0ms	(+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0))
5.0ms	(/.f64 (*.f64 x x) y)

series20.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 (+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0)) (+.f64 x 1.0))
6.0ms	(+.f64 (/.f64 (.f64 x x) y) (.f64 x 1.0))
4.0ms	(/.f64 (*.f64 x x) y)

simplify58.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4948	919
1	4948	919

prune81.0ms (4.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	77	4	81

Merged error: 0b

Counts

81 → 4

regimes112.0ms (6.5%)

Accuracy

Total 0.1b remaining (75.4%)

Threshold costs 0.1b (75.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

end0.0ms (0%)

sample410.0ms (23.9%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	80	valid
8.0ms	249×	body	80	invalid

Details

analyze122.0ms (7.1%)

sample20.0ms (1.2%)

simplify117.0ms (6.8%)

prune5.0ms (0.3%)

localize7.0ms (0.4%)

rewrite23.0ms (1.3%)

series14.0ms (0.8%)

simplify52.0ms (3%)

prune87.0ms (5.1%)

localize7.0ms (0.4%)

rewrite34.0ms (2%)

series19.0ms (1.1%)

simplify66.0ms (3.9%)

prune188.0ms (10.9%)

localize8.0ms (0.5%)

rewrite26.0ms (1.5%)

series20.0ms (1.1%)

simplify79.0ms (4.6%)

prune108.0ms (6.3%)

localize8.0ms (0.5%)

rewrite24.0ms (1.4%)

series20.0ms (1.1%)

simplify58.0ms (3.4%)

prune81.0ms (4.7%)

regimes112.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample410.0ms (23.9%)

Profiling