Details

analyze707.0ms

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

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4858	13
1	4858	13

prune12.0ms

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: 1.8b

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 z)))))
5.0b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
5.9b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite31.0ms

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 z)))))
10.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series50.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
24.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5004	1131

prune80.0ms

Filtered

56 candidates to 81 candidates (-44.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	81	2	83

Merged error: 0.0b

Counts

83 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
0.4b	(/.f64 2 (/.f64 t z))
3.3b	(/.f64 y (/.f64 2 (/.f64 t z)))
5.0b	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

520×	`times-frac_binary64`
305×	`add-sqr-sqrt_binary64`
254×	`*-un-lft-identity_binary64`
244×	`add-cube-cbrt_binary64`
65×	`associate-/r*_binary64`
23×	`div-inv_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`difference-of-squares_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/l*_binary64`
8×	`associate-/r/_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

4 → 329

Calls

4 calls:

50.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
6.0ms	(/.f64 2 (/.f64 t z))
12.0ms	(/.f64 y (/.f64 2 (/.f64 t z)))
41.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))))
4.0ms	(/.f64 2 (/.f64 t z))
12.0ms	(/.f64 y (/.f64 2 (/.f64 t z)))
25.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4990	5184
1	4990	5184

prune373.0ms

Filtered

284 candidates to 341 candidates (-20.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	339	2	341
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	339	4	343

Merged error: 0b

Counts

343 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (*.f64 (/.f64 2 t) z)))))
0.2b	(*.f64 (/.f64 2 t) z)
3.3b	(/.f64 y (*.f64 (/.f64 2 t) z))
5.0b	(/.f64 y (-.f64 z (/.f64 y (*.f64 (/.f64 2 t) z))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

13.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (*.f64 (/.f64 2 t) z)))))
7.0ms	(*.f64 (/.f64 2 t) z)
9.0ms	(/.f64 y (*.f64 (/.f64 2 t) z))
9.0ms	(/.f64 y (-.f64 z (/.f64 y (*.f64 (/.f64 2 t) z))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 y (*.f64 (/.f64 2 t) z)))))
3.0ms	(*.f64 (/.f64 2 t) z)
6.0ms	(/.f64 y (*.f64 (/.f64 2 t) z))
25.0ms	(/.f64 y (-.f64 z (/.f64 y (*.f64 (/.f64 2 t) z))))

simplify60.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4959	1386
1	4959	1386

prune111.0ms

Filtered

89 candidates to 119 candidates (-33.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	119	4	123

Merged error: 0b

Counts

123 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))))
1.1b	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
22.5b	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

11.0ms	(-.f64 x (/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))))
5.0ms	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
11.0ms	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

series68.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(-.f64 x (/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))))
9.0ms	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
31.0ms	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5162	908

prune57.0ms

Filtered

44 candidates to 58 candidates (-31.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	58	4	62

Merged error: 0b

Counts

62 → 4

regimes347.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	13
1	38	13

end0.0ms

sample594.0ms

Algorithm

intervals

Results

385.0ms

8000×

body

valid

Details

analyze707.0ms

sample23.0ms

simplify63.0ms

prune12.0ms

localize9.0ms

rewrite31.0ms

series50.0ms

simplify49.0ms

prune80.0ms

localize9.0ms

rewrite130.0ms

series61.0ms

simplify79.0ms

prune373.0ms

localize9.0ms

rewrite41.0ms

series55.0ms

simplify60.0ms

prune111.0ms

localize11.0ms

rewrite29.0ms

series68.0ms

simplify42.0ms

prune57.0ms

regimes347.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample594.0ms

Profiling