Details

analyze565.0ms

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%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify219.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (216.0ms)

Iter	Nodes	Cost
0	5487	9

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: 9.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
9.2b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_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`

Counts

2 → 53

Calls

2 calls:

6.0ms	(*.f64 x (-.f64 y z))
9.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

series29.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(*.f64 x (-.f64 y z))
20.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

simplify45.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5975	485

prune75.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	51	8	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	8	60

Merged error: 0b

Counts

60 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (-.f64 y z) (-.f64 t z))
1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

8.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
14.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series33.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
20.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5024	1163

prune82.0ms

Filtered

69 candidates to 108 candidates (-56.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0b

Counts

116 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.7b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
12.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series44.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
33.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5078	3157

prune137.0ms

Filtered

133 candidates to 200 candidates (-50.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	202	6	208

Merged error: 0b

Counts

208 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 y z))
0.0b	(/.f64 z (-.f64 y z))
1.7b	(/.f64 x (-.f64 (/.f64 t (-.f64 y z)) (/.f64 z (-.f64 y z))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity_binary64`
156×	`times-frac_binary64`
134×	`add-sqr-sqrt_binary64`
56×	`distribute-lft-out--_binary64`
54×	`add-cube-cbrt_binary64`
32×	`difference-of-squares_binary64`
28×	`associate-/r*_binary64`
24×	`associate-/r/_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-div_binary64` `frac-sub_binary64`

Counts

3 → 165

Calls

3 calls:

6.0ms	(/.f64 t (-.f64 y z))
8.0ms	(/.f64 z (-.f64 y z))
30.0ms	(/.f64 x (-.f64 (/.f64 t (-.f64 y z)) (/.f64 z (-.f64 y z))))

series56.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 t (-.f64 y z))
7.0ms	(/.f64 z (-.f64 y z))
41.0ms	(/.f64 x (-.f64 (/.f64 t (-.f64 y z)) (/.f64 z (-.f64 y z))))

simplify67.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5784	2370

prune118.0ms

Filtered

126 candidates to 174 candidates (-38.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	174	6	180

Merged error: 0b

Counts

180 → 6

regimes306.0ms

Accuracy

12.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	53
1	37	53

end0.0ms

sample473.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
17.0ms	606×	body	80	invalid

Details

analyze565.0ms

sample23.0ms

simplify219.0ms

prune3.0ms

localize6.0ms

rewrite17.0ms

series29.0ms

simplify45.0ms

prune75.0ms

localize6.0ms

rewrite26.0ms

series33.0ms

simplify51.0ms

prune82.0ms

localize6.0ms

rewrite34.0ms

series44.0ms

simplify57.0ms

prune137.0ms

localize7.0ms

rewrite52.0ms

series56.0ms

simplify67.0ms

prune118.0ms

regimes306.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample473.0ms

Profiling