Details

analyze649.0ms

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

simplify245.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (243.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune3.0ms

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: 5.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 1.0 z))
0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z)))
5.0b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
45×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-r_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/r/_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 86

Calls

3 calls:

6.0ms	(/.f64 t (-.f64 1.0 z))
19.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z)))
27.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z))))

series242.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 t (-.f64 1.0 z))
216.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z)))
19.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1.0 z))))

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5153	1120

prune132.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	83	12	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	12	96

Merged error: 0.1b

Counts

96 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 t (-.f64 1.0 z))
0.0b	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z)))))
5.5b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z))))
6.5b	(*.f64 x (/.f64 y z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt_binary64`
62×	`*-un-lft-identity_binary64`
59×	`associate-r_binary64`
55×	`times-frac_binary64`
42×	`add-cube-cbrt_binary64`
21×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-l_binary64`
5×	`associate-/r*_binary64`
4×	`associate-*r/_binary64` `div-inv_binary64`
3×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `distribute-rgt-neg-out_binary64` `cbrt-undiv_binary64` `distribute-neg-frac_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `neg-mul-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

4 → 146

Calls

4 calls:

6.0ms	(/.f64 t (-.f64 1.0 z))
6.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z)))))
15.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z))))
7.0ms	(*.f64 x (/.f64 y z))

series53.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/.f64 t (-.f64 1.0 z))
22.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z)))))
14.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z))))
7.0ms	(*.f64 x (/.f64 y z))

simplify53.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5084	1488

prune181.0ms

Filtered

117 candidates to 158 candidates (-35.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	152	6	158
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	157	13	170

Merged error: 0.0b

Counts

170 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
5.5b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64`
68×	`associate-r_binary64`
58×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
27×	`add-exp-log_binary64`
21×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
20×	`add-cbrt-cube_binary64`
17×	`cbrt-prod_binary64`
10×	`associate-l_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow1_binary64`
7×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
6×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `pow1/3_binary64` `flip--_binary64` `-commutative_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-neg-frac_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 144

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
16.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
15.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z))))

series67.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 z)
21.0ms	(cbrt.f64 z)
13.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
14.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1.0 z))))

simplify51.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4976	1339
1	4976	1339

prune181.0ms

Filtered

121 candidates to 156 candidates (-28.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	157	12	169

Merged error: 0.0b

Counts

169 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 1.0 z))
0.0b	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1.0 z))))
0.1b	(*.f64 t (/.f64 1 (-.f64 1.0 z)))
5.0b	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1.0 z)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
24×	`associate-r_binary64`
19×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
7×	`associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`associate-/r*_binary64` `prod-exp_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `flip--_binary64` `frac-sub_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `associate-/l*_binary64` `un-div-inv_binary64`
2×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`

Counts

4 → 122

Calls

4 calls:

6.0ms	(/.f64 1 (-.f64 1.0 z))
7.0ms	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1.0 z))))
11.0ms	(*.f64 t (/.f64 1 (-.f64 1.0 z)))
9.0ms	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1.0 z)))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/.f64 1 (-.f64 1.0 z))
11.0ms	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1.0 z))))
10.0ms	(*.f64 t (/.f64 1 (-.f64 1.0 z)))
20.0ms	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1.0 z)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5424	1298

prune98.0ms

Filtered

85 candidates to 134 candidates (-57.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	134	12	146

Merged error: 0.0b

Counts

146 → 12

regimes655.0ms

Accuracy

85.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 4.8b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	167	120
1	167	120

end0.0ms

sample616.0ms

Algorithm

intervals

Results

295.0ms	8000×	body	80	valid
65.0ms	1818×	body	80	invalid

Details

analyze649.0ms

sample23.0ms

simplify245.0ms

prune3.0ms

localize8.0ms

rewrite55.0ms

series242.0ms

simplify52.0ms

prune132.0ms

localize13.0ms

rewrite39.0ms

series53.0ms

simplify53.0ms

prune181.0ms

localize17.0ms

rewrite40.0ms

series67.0ms

simplify51.0ms

prune181.0ms

localize9.0ms

rewrite38.0ms

series43.0ms

simplify60.0ms

prune98.0ms

regimes655.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample616.0ms

Profiling