Details

analyze901.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

simplify129.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4953	16
1	4953	16

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: 9.6b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(*.f64 y (-.f64 z t))
9.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_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` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

9.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))
11.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series472.0ms

Counts

3 → 9

Calls

3 calls:

239.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
67.0ms	(*.f64 y (-.f64 z t))
166.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	6014	1037

prune59.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
2.2b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
197×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 206

Calls

3 calls:

34.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
13.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
16.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series571.0ms

Counts

3 → 9

Calls

3 calls:

252.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
68.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
250.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

simplify93.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4987	5192
1	4987	5192

prune120.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	218	4	222

Merged error: 0b

Counts

222 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 z (-.f64 z t)) (/.f64 a (-.f64 z t)))
0.0b	(/.f64 z (-.f64 z t))
0.0b	(/.f64 a (-.f64 z t))
2.2b	(/.f64 y (-.f64 (/.f64 z (-.f64 z t)) (/.f64 a (-.f64 z t))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity_binary64`
174×	`times-frac_binary64`
153×	`add-sqr-sqrt_binary64`
68×	`distribute-lft-out--_binary64`
57×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
28×	`associate-/r*_binary64` `associate-/r/_binary64`
15×	`distribute-rgt-out--_binary64`
14×	`flip3--_binary64` `flip--_binary64`
13×	`div-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
2×	`sub-div_binary64` `frac-sub_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

4 → 193

Calls

4 calls:

34.0ms	(-.f64 (/.f64 z (-.f64 z t)) (/.f64 a (-.f64 z t)))
6.0ms	(/.f64 z (-.f64 z t))
6.0ms	(/.f64 a (-.f64 z t))
40.0ms	(/.f64 y (-.f64 (/.f64 z (-.f64 z t)) (/.f64 a (-.f64 z t))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(-.f64 (/.f64 z (-.f64 z t)) (/.f64 a (-.f64 z t)))
56.0ms	(/.f64 z (-.f64 z t))
65.0ms	(/.f64 a (-.f64 z t))
322.0ms	(/.f64 y (-.f64 (/.f64 z (-.f64 z t)) (/.f64 a (-.f64 z t))))

simplify100.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5806	4202

prune139.0ms

Filtered

150 candidates to 205 candidates (-36.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	205	4	209

Merged error: 0b

Counts

209 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.3b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series465.0ms

Counts

3 → 9

Calls

3 calls:

240.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
65.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
161.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5068	2068

prune62.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Merged error: 0b

Counts

126 → 4

regimes56.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	22
1	38	22

end0.0ms

sample597.0ms

Algorithm

intervals

Results

298.0ms	7998×	body	128	valid
26.0ms	750×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Details

analyze901.0ms

sample21.0ms

simplify129.0ms

prune1.0ms

localize13.0ms

rewrite33.0ms

series472.0ms

simplify57.0ms

prune59.0ms

localize8.0ms

rewrite91.0ms

series571.0ms

simplify93.0ms

prune120.0ms

localize9.0ms

rewrite119.0ms

series636.0ms

simplify100.0ms

prune139.0ms

localize8.0ms

rewrite43.0ms

series465.0ms

simplify62.0ms

prune62.0ms

regimes56.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample597.0ms

Profiling