Details

analyze1.1s

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
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4900	11
1	4900	11

prune6.0ms

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: 10.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 a z))
10.2b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 54

Calls

3 calls:

3.0ms	(-.f64 x (*.f64 y z))
8.0ms	(-.f64 t (*.f64 a z))
7.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 x (*.f64 y z))
8.0ms	(-.f64 t (*.f64 a z))
22.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5502	755

prune68.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	53	10	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	11	64

Merged error: 10.1b

Counts

64 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 z a))
0.4b	(/.f64 1 (-.f64 t (*.f64 z a)))
9.9b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64` `times-frac_binary64`
17×	`add-exp-log_binary64`
15×	`associate-r_binary64`
11×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`flip3--_binary64` `flip--_binary64`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

3.0ms	(-.f64 x (*.f64 y z))
3.0ms	(-.f64 t (*.f64 z a))
5.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
13.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 x (*.f64 y z))
7.0ms	(-.f64 t (*.f64 z a))
12.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
22.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5862	1152

prune69.0ms

Filtered

70 candidates to 109 candidates (-55.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	110	10	120

Merged error: 10.1b

Counts

120 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 z a))
0.4b	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
10.2b	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
56×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`associate-/r*_binary64`
17×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `div-exp_binary64` `flip--_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 138

Calls

4 calls:

3.0ms	(-.f64 x (*.f64 y z))
3.0ms	(-.f64 t (*.f64 z a))
9.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
7.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 x (*.f64 y z))
7.0ms	(-.f64 t (*.f64 z a))
47.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z))))
22.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5192	2492

prune86.0ms

Filtered

105 candidates to 150 candidates (-42.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	150	10	160

Merged error: 10.1b

Counts

160 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

4.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a))))) (/.f64 (-.f64 x (.f64 y z)) (cbrt.f64 (-.f64 t (.f64 z a)))))
7.9b	(cbrt.f64 (-.f64 t (*.f64 z a)))
7.9b	(cbrt.f64 (-.f64 t (*.f64 z a)))
7.9b	(cbrt.f64 (-.f64 t (*.f64 z a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log_binary64`
43×	`add-sqr-sqrt_binary64`
33×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64`
24×	`associate-r_binary64`
22×	`add-cube-cbrt_binary64`
21×	`cbrt-prod_binary64`
20×	`cbrt-div_binary64` `prod-exp_binary64`
18×	`add-cbrt-cube_binary64`
15×	`associate-l_binary64` `div-exp_binary64`
10×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
9×	`unswap-sqr_binary64`
8×	`cbrt-unprod_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l/_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 119

Calls

4 calls:

27.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a))))) (/.f64 (-.f64 x (.f64 y z)) (cbrt.f64 (-.f64 t (.f64 z a)))))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a))))) (/.f64 (-.f64 x (.f64 y z)) (cbrt.f64 (-.f64 t (.f64 z a)))))
33.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
33.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
36.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))

simplify88.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4959	2464
1	4959	2464

prune59.0ms

Filtered

99 candidates to 131 candidates (-32.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	130	11	141

Merged error: 10.1b

Counts

141 → 11

regimes441.0ms

Accuracy

0% (0.3b remaining)

Error of 10.3b against oracle of 10.0b and baseline of 10.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	11
1	56	11

end0.0ms

sample618.0ms

Algorithm

intervals

Results

313.0ms	8000×	body	80	valid
33.0ms	716×	body	80	invalid

Details

analyze1.1s

sample23.0ms

simplify139.0ms

prune6.0ms

localize8.0ms

rewrite19.0ms

series37.0ms

simplify46.0ms

prune68.0ms

localize9.0ms

rewrite28.0ms

series49.0ms

simplify51.0ms

prune69.0ms

localize9.0ms

rewrite28.0ms

series84.0ms

simplify52.0ms

prune86.0ms

localize14.0ms

rewrite41.0ms

series158.0ms

simplify88.0ms

prune59.0ms

regimes441.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample618.0ms

Profiling