Details

analyze667.0ms

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4937	13
1	4937	13

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 1.9b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z)))))
4.5b	(/.f64 (.f64 y t) (.f64 2.0 z))
5.3b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
13×	`add-cube-cbrt_binary64`
6×	`associate-/r*_binary64` `difference-of-squares_binary64`
5×	`add-log-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 72

Calls

3 calls:

12.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z)))))
6.0ms	(/.f64 (.f64 y t) (.f64 2.0 z))
7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z))))

series60.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z)))))
10.0ms	(/.f64 (.f64 y t) (.f64 2.0 z))
28.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2.0 z))))

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5096	1137

prune97.0ms

Filtered

58 candidates to 81 candidates (-39.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Merged error: 0.5b

Counts

83 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
3.5b	(*.f64 (/.f64 y 2.0) (/.f64 t z))
5.3b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
32×	`times-frac_binary64`
27×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 93

Calls

3 calls:

12.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
10.0ms	(*.f64 (/.f64 y 2.0) (/.f64 t z))
5.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z))))

series60.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
8.0ms	(*.f64 (/.f64 y 2.0) (/.f64 t z))
30.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4972	1275
1	4972	1275

prune110.0ms

Filtered

77 candidates to 102 candidates (-32.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	100	7	107

Merged error: 0.5b

Counts

107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

5.3b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z))))
17.3b	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
17.3b	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
17.3b	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
36×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`associate-/r/_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
3×	`cbrt-div_binary64` `associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`

Counts

4 → 101

Calls

4 calls:

5.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z))))
5.0ms	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
5.0ms	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
5.0ms	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z))))
72.0ms	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
72.0ms	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))
77.0ms	(cbrt.f64 (/.f64 y (-.f64 z (*.f64 (/.f64 y 2.0) (/.f64 t z)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4946	2402
1	4946	2402

prune203.0ms

Filtered

100 candidates to 113 candidates (-13.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0.5b

Counts

120 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y)))
0.8b	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y))
4.5b	(/.f64 (.f64 y t) (.f64 z 2.0))
5.0b	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

139×	`times-frac_binary64`
116×	`add-sqr-sqrt_binary64`
107×	`*-un-lft-identity_binary64`
70×	`add-cube-cbrt_binary64`
29×	`add-exp-log_binary64`
23×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
21×	`difference-of-squares_binary64`
18×	`distribute-lft-out--_binary64`
12×	`div-exp_binary64`
9×	`associate-/l*_binary64`
8×	`cbrt-undiv_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `1-exp_binary64` `rec-exp_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 177

Calls

4 calls:

22.0ms	(-.f64 x (/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y)))
10.0ms	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y))
6.0ms	(/.f64 (.f64 y t) (.f64 z 2.0))
8.0ms	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y)

series50.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(-.f64 x (/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y)))
12.0ms	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y))
10.0ms	(/.f64 (.f64 y t) (.f64 z 2.0))
12.0ms	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2.0))) y)

simplify80.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5039	3211

prune145.0ms

Filtered

114 candidates to 189 candidates (-65.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	185	4	189
Fresh	4	0	4
Picked	1	0	1
Done	1	1	2
Total	191	5	196

Merged error: 0.0b

Counts

196 → 5

regimes226.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	13
1	57	13

end0.0ms

sample768.0ms

Algorithm

intervals

Results

564.0ms

8000×

body

valid

Details

analyze667.0ms

sample22.0ms

simplify55.0ms

prune11.0ms

localize9.0ms

rewrite27.0ms

series60.0ms

simplify42.0ms

prune97.0ms

localize9.0ms

rewrite31.0ms

series60.0ms

simplify50.0ms

prune110.0ms

localize14.0ms

rewrite23.0ms

series250.0ms

simplify58.0ms

prune203.0ms

localize10.0ms

rewrite54.0ms

series50.0ms

simplify80.0ms

prune145.0ms

regimes226.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample768.0ms

Profiling