Details

analyze244.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

sample24.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	10×	body	80	nan
0.0ms	1×	body	80	invalid

simplify233.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (229.0ms)

Iter	Nodes	Cost
0	6359	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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.3b	(*.f64 x (log.f64 y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate--l+_binary64`
27×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`add-log-exp_binary64`
15×	`add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`pow1_binary64`
8×	`associate-+l+_binary64`
7×	`diff-log_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-out_binary64` `associate-r_binary64`
3×	`log-pow_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64` `sum-log_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
13.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
5.0ms	(*.f64 x (log.f64 y))

series40.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
10.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
14.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
7.0ms	(*.f64 x (log.f64 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5128	985

prune62.0ms

Filtered

75 candidates to 105 candidates (-40.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 t) z)
0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(+.f64 (-.f64 (*.f64 x (log.f64 y)) y) (-.f64 (log.f64 t) z))
0.3b	(*.f64 x (log.f64 y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64` `log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `associate--l+_binary64`
17×	`add-log-exp_binary64`
14×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`associate-+l+_binary64`
6×	`flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `associate-r_binary64` `frac-add_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64` `log-pow_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-+r-_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

5.0ms	(-.f64 (log.f64 t) z)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
12.0ms	(+.f64 (-.f64 (*.f64 x (log.f64 y)) y) (-.f64 (log.f64 t) z))
5.0ms	(*.f64 x (log.f64 y))

series41.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (log.f64 t) z)
12.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
15.0ms	(+.f64 (-.f64 (*.f64 x (log.f64 y)) y) (-.f64 (log.f64 t) z))
7.0ms	(*.f64 x (log.f64 y))

simplify26.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5245	1090

prune52.0ms

Filtered

78 candidates to 105 candidates (-34.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series74.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
22.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
17.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4944	606
1	4944	606

prune55.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Merged error: 0b

Counts

96 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series59.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify27.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4998	212
1	4998	212

prune34.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	56	5	61

Merged error: 0b

Counts

61 → 5

regimes268.0ms

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	30	11
1	30	11

end0.0ms

sample687.0ms

Algorithm

intervals

Results

444.0ms	8000×	body	80	valid
15.0ms	355×	body	80	nan
1.0ms	22×	body	80	invalid

Details

analyze244.0ms

sample24.0ms

simplify233.0ms

prune3.0ms

localize10.0ms

rewrite34.0ms

series40.0ms

simplify52.0ms

prune62.0ms

localize10.0ms

rewrite30.0ms

series41.0ms

simplify26.0ms

prune52.0ms

localize14.0ms

rewrite20.0ms

series74.0ms

simplify56.0ms

prune55.0ms

localize21.0ms

rewrite7.0ms

series59.0ms

simplify27.0ms

prune34.0ms

regimes268.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample687.0ms

Profiling