Details

analyze906.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample31.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
2.0ms	39×	body	80	nan
2.0ms	27×	body	80	invalid

simplify501.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (488.0ms)

Iter	Nodes	Cost
0	3702	24
1	3702	24

prune2.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x y) z)
0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-log-exp_binary64`
15×	`*-un-lft-identity_binary64`
13×	`sum-log_binary64`
12×	`log-prod_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`associate--r+_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`associate-r_binary64` `frac-add_binary64` `associate-*l/_binary64`
3×	`distribute-lft-out_binary64` `associate-+l+_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

6.0ms	(+.f64 (+.f64 x y) z)
12.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
9.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
4.0ms	(*.f64 z (log.f64 t))

series204.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 (+.f64 x y) z)
126.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
37.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
28.0ms	(*.f64 z (log.f64 t))

simplify78.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5040	1914

prune88.0ms

Filtered

66 candidates to 93 candidates (-40.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
0.1b	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
0.3b	(*.f64 z (log.f64 (sqrt.f64 t)))
0.3b	(*.f64 (log.f64 (sqrt.f64 t)) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp_binary64`
24×	`log-prod_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64` `associate--r+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-prod_binary64`
10×	`diff-log_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`log-pow_binary64` `sum-log_binary64`
4×	`associate--l+_binary64`
3×	`sub-neg_binary64`
2×	`pow-prod-down_binary64` `pow1/2_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`associate--l-_binary64`

Counts

4 → 97

Calls

4 calls:

12.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
10.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
5.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

series188.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
52.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
36.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
44.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5529	1882

prune90.0ms

Filtered

75 candidates to 109 candidates (-45.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Merged error: 0.0b

Counts

117 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (fabs.f64 (cbrt.f64 t))))
0.3b	(*.f64 (log.f64 (sqrt.f64 t)) z)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`associate-l_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64`
6×	`log-prod_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64`
3×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64`

Counts

4 → 68

Calls

4 calls:

4.0ms	(*.f64 z (log.f64 (fabs.f64 (cbrt.f64 t))))
4.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series248.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(*.f64 z (log.f64 (fabs.f64 (cbrt.f64 t))))
42.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)
82.0ms	(cbrt.f64 t)
84.0ms	(cbrt.f64 t)

simplify67.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5002	884

prune76.0ms

Filtered

58 candidates to 80 candidates (-37.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x y) z)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
0.3b	(*.f64 z (log.f64 t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-log-exp_binary64`
23×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`log-prod_binary64`
9×	`diff-log_binary64` `add-cube-cbrt_binary64` `sum-log_binary64`
7×	`associate--r+_binary64` `associate--l+_binary64`
6×	`pow1_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64` `frac-sub_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate--r-_binary64` `log-pow_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

3 → 73

Calls

3 calls:

6.0ms	(+.f64 (+.f64 x y) z)
15.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
4.0ms	(*.f64 z (log.f64 t))

series171.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (+.f64 x y) z)
126.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
31.0ms	(*.f64 z (log.f64 t))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4992	1802
1	4992	1802

prune53.0ms

Filtered

56 candidates to 82 candidates (-46.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

regimes225.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	36
1	59	36

end0.0ms

sample950.0ms

Algorithm

intervals

Results

467.0ms	7996×	body	80	valid
69.0ms	1134×	body	80	invalid
59.0ms	1186×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze906.0ms

sample31.0ms

simplify501.0ms

prune2.0ms

localize13.0ms

rewrite34.0ms

series204.0ms

simplify78.0ms

prune88.0ms

localize21.0ms

rewrite35.0ms

series188.0ms

simplify74.0ms

prune90.0ms

localize25.0ms

rewrite13.0ms

series248.0ms

simplify67.0ms

prune76.0ms

localize13.0ms

rewrite28.0ms

series171.0ms

simplify50.0ms

prune53.0ms

regimes225.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample950.0ms

Profiling