Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	460	7
1	460	7

prune1.0ms

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 50

Calls

1 calls:

9.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5145	627

prune33.0ms

Filtered

33 candidates to 53 candidates (-60.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

115×	`*-un-lft-identity_binary64`
77×	`add-sqr-sqrt_binary64`
72×	`times-frac_binary64`
60×	`exp-prod_binary64`
38×	`add-cube-cbrt_binary64`
31×	`log-pow_binary64`
26×	`difference-of-squares_binary64`
19×	`distribute-lft-out_binary64`
13×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64` `associate-/r/_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `log-prod_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 130

Calls

3 calls:

13.0ms	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
12.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
9.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

series11.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))
3.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
3.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5649	1394

prune72.0ms

Filtered

92 candidates to 139 candidates (-51.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Merged error: 0b

Counts

142 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
0.1b	(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

186×	`*-un-lft-identity_binary64`
124×	`add-sqr-sqrt_binary64`
120×	`times-frac_binary64`
66×	`cbrt-prod_binary64`
61×	`add-cube-cbrt_binary64`
60×	`unpow-prod-down_binary64` `cube-prod_binary64`
42×	`difference-of-squares_binary64`
31×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64`
5×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 206

Calls

3 calls:

9.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))
13.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)

series10.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))
3.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
4.0ms	(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5762	2908

prune64.0ms

Filtered

85 candidates to 215 candidates (-152.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	215	3	218

Merged error: 0b

Counts

218 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 x))
0.1b	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
24×	`associate-r_binary64` `add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`
14×	`difference-of-squares_binary64`
9×	`add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 97

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 1 x))
15.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

series5.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/.f64 1 (-.f64 1 x))
3.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	6184	904

prune41.0ms

Filtered

62 candidates to 103 candidates (-66.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample258.0ms

Algorithm

intervals

Results

165.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify27.0ms

prune1.0ms

localize4.0ms

rewrite11.0ms

series3.0ms

simplify42.0ms

prune33.0ms

localize8.0ms

rewrite41.0ms

series11.0ms

simplify57.0ms

prune72.0ms

localize8.0ms

rewrite44.0ms

series10.0ms

simplify50.0ms

prune64.0ms

localize5.0ms

rewrite25.0ms

series5.0ms

simplify55.0ms

prune41.0ms

regimes33.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample258.0ms

Profiling