Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64`
41×	`times-frac_binary64`
40×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
11×	`associate-/r*_binary64`
9×	`add-exp-log_binary64`
8×	`difference-of-squares_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64`
3×	`div-inv_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `1-exp_binary64` `frac-add_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

3 → 100

Calls

3 calls:

5.0ms	(/.f64 x (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 x 1))
30.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/.f64 x (+.f64 x 1))
8.0ms	(/.f64 1 (-.f64 x 1))
32.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

simplify84.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5105	1579

prune68.0ms

Filtered

68 candidates to 109 candidates (-60.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	2	110

Merged error: 0b

Counts

110 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
49×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
27×	`add-cube-cbrt_binary64`
20×	`distribute-lft-out_binary64`
11×	`associate-/r*_binary64`
10×	`log-pow_binary64` `add-exp-log_binary64`
9×	`exp-prod_binary64`
8×	`add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
4×	`log-prod_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64` `div-inv_binary64`
3×	`div-exp_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `1-exp_binary64` `rem-log-exp_binary64` `frac-add_binary64` `inv-pow_binary64` `exp-sum_binary64` `rec-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

4 → 122

Calls

4 calls:

5.0ms	(/.f64 x (+.f64 1 x))
31.0ms	(log.f64 (exp.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))))
6.0ms	(/.f64 1 (-.f64 x 1))
31.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/.f64 x (+.f64 1 x))
31.0ms	(log.f64 (exp.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))))
9.0ms	(/.f64 1 (-.f64 x 1))
32.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))

simplify91.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5249	1983

prune88.0ms

Filtered

80 candidates to 134 candidates (-67.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	134	2	136

Merged error: 0b

Counts

136 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

149×	`*-un-lft-identity_binary64`
61×	`times-frac_binary64`
40×	`distribute-lft-out_binary64`
38×	`add-sqr-sqrt_binary64`
24×	`cbrt-prod_binary64`
22×	`add-cube-cbrt_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
14×	`distribute-lft-out--_binary64`
9×	`add-exp-log_binary64`
8×	`difference-of-squares_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `cube-div_binary64` `div-inv_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`cbrt-div_binary64` `flip3-+_binary64` `pow-unpow_binary64` `frac-add_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`sqr-pow_binary64` `associate-/r/_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `inv-pow_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `rec-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 141

Calls

4 calls:

6.0ms	(/.f64 1 (-.f64 x 1))
30.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
31.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
31.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)

series121.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 1 (-.f64 x 1))
37.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
31.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
45.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)

simplify111.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4960	3012
1	4960	3012

prune84.0ms

Filtered

73 candidates to 153 candidates (-109.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	153	2	155

Merged error: 0b

Counts

155 → 2

regimes7.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	20
1	23	20

end0.0ms

sample311.0ms

Algorithm

intervals

Results

225.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify12.0ms

prune2.0ms

localize10.0ms

rewrite45.0ms

series51.0ms

simplify84.0ms

prune68.0ms

localize10.0ms

rewrite78.0ms

series82.0ms

simplify91.0ms

prune88.0ms

localize9.0ms

rewrite104.0ms

series121.0ms

simplify111.0ms

prune84.0ms

regimes7.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample311.0ms

Profiling