Details

analyze926.0ms

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

sample35.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	39×	body	80	nan
2.0ms	27×	body	80	invalid

simplify527.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (518.0ms)

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))

rewrite37.0ms

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)
13.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series217.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 (+.f64 x y) z)
133.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
39.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
31.0ms	(*.f64 z (log.f64 t))

simplify76.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5040	1914

prune89.0ms

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

localize17.0ms

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)

rewrite36.0ms

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))
11.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

series197.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
51.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
43.0ms	(*.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 (48.0ms)

Iter	Nodes	Cost
0	5529	1882

prune120.0ms

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

localize27.0ms

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)

rewrite17.0ms

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:

5.0ms	(*.f64 z (log.f64 (fabs.f64 (cbrt.f64 t))))
7.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series263.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(*.f64 z (log.f64 (fabs.f64 (cbrt.f64 t))))
46.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)
86.0ms	(cbrt.f64 t)
87.0ms	(cbrt.f64 t)

simplify69.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5002	884

prune78.0ms

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

localize15.0ms

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)
14.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
5.0ms	(*.f64 z (log.f64 t))

series186.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (+.f64 x y) z)
140.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
33.0ms	(*.f64 z (log.f64 t))

simplify55.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4992	1802
1	4992	1802

prune58.0ms

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

regimes191.0ms

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

sample973.0ms

Algorithm

intervals

Results

477.0ms	7996×	body	80	valid
70.0ms	1134×	body	80	invalid
63.0ms	1186×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze926.0ms

sample35.0ms

simplify527.0ms

prune2.0ms

localize13.0ms

rewrite37.0ms

series217.0ms

simplify76.0ms

prune89.0ms

localize17.0ms

rewrite36.0ms

series197.0ms

simplify74.0ms

prune120.0ms

localize27.0ms

rewrite17.0ms

series263.0ms

simplify69.0ms

prune78.0ms

localize15.0ms

rewrite28.0ms

series186.0ms

simplify55.0ms

prune58.0ms

regimes191.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample973.0ms

Profiling