Details

analyze126.0ms

Algorithm

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

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4934	11
1	4934	11

prune2.0ms

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: 9.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
8.5b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite24.0ms

Algorithm

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:

10.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5093	569

prune48.0ms

Filtered

38 candidates to 56 candidates (-47.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Merged error: 0b

Counts

57 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite34.0ms

Algorithm

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:

15.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
12.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
8.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

simplify74.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5330	2609

prune85.0ms

Filtered

98 candidates to 152 candidates (-55.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	152	7	159

Merged error: 0b

Counts

159 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.3b	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
2.9b	(/.f64 (.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 x 1)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
18×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
12×	`add-cbrt-cube_binary64`
11×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
10×	`distribute-lft-out_binary64`
9×	`swap-sqr_binary64`
8×	`pow1/3_binary64`
7×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
5×	`associate-/l/_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
3×	`associate-*r/_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-/r/_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `pow2_binary64` `-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
11.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
25.0ms	(/.f64 (.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 x 1)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 x 1))
5.0ms	(cbrt.f64 (+.f64 x 1))
6.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
8.0ms	(/.f64 (.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 x 1)))

simplify80.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4912	1496
1	4912	1496

prune102.0ms

Filtered

96 candidates to 133 candidates (-38.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	133	7	140

Merged error: 0b

Counts

140 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)))
8.5b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
8.5b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
8.5b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`times-frac_binary64`
12×	`associate-/r*_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-prod_binary64`
8×	`associate-/r/_binary64`
7×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
6×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `div-inv_binary64`
3×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64`
1×	`cbrt-div_binary64` `pow1/3_binary64`

Counts

4 → 100

Calls

4 calls:

10.0ms	(cbrt.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)))
14.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

series56.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)))
7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
7.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

simplify64.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4951	1473
1	4951	1473

prune109.0ms

Filtered

86 candidates to 112 candidates (-30.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	112	7	119

Merged error: 0b

Counts

119 → 7

regimes124.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample418.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	80	valid
8.0ms	251×	body	80	invalid

Details

analyze126.0ms

sample15.0ms

simplify95.0ms

prune2.0ms

localize7.0ms

rewrite24.0ms

series12.0ms

simplify45.0ms

prune48.0ms

localize6.0ms

rewrite34.0ms

series15.0ms

simplify74.0ms

prune85.0ms

localize10.0ms

rewrite47.0ms

series24.0ms

simplify80.0ms

prune102.0ms

localize20.0ms

rewrite56.0ms

series56.0ms

simplify64.0ms

prune109.0ms

regimes124.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample418.0ms

Profiling