Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample62.0ms

Algorithm

intervals

Results

15.0ms	276×	body	80	invalid
14.0ms	256×	body	80	valid

simplify172.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	5068	19

prune22.0ms

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: 0.6b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
0.0b	(- (* z t) (* c (* (+ a (* b c)) i)))
0.6b	(* (+ a (* b c)) i)
4.1b	(* c (* (+ a (* b c)) i))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`sub-neg` `diff-log` `associate-r/` `sum-log` `-commutative`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

6.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
4.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
5.0ms	(* (+ a (* b c)) i)
6.0ms	(* c (* (+ a (* b c)) i))

series390.0ms

Counts

4 → 12

Calls

4 calls:

321.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
43.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
12.0ms	(* (+ a (* b c)) i)
14.0ms	(* c (* (+ a (* b c)) i))

simplify60.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4932	1007
1	4932	1007

prune120.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 0.5b

Counts

79 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt c)
0.7b	(cbrt c)
2.2b	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
3.8b	(* (+ a (* c b)) (* i (cbrt c)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-l` `associate-*l/` `add-log-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `associate-r` `-commutative` `flip-+`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
13.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
7.0ms	(* (+ a (* c b)) (* i (cbrt c)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt c)
21.0ms	(cbrt c)
18.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
57.0ms	(* (+ a (* c b)) (* i (cbrt c)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4944	684
1	4944	684

prune108.0ms

Filtered

51 candidates to 84 candidates (-64.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 0.5b

Counts

91 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt c)
0.7b	(cbrt c)
2.2b	(* (* (cbrt c) (cbrt c)) (* (* (+ a (* c b)) i) (cbrt c)))
2.2b	(* (* (+ a (* c b)) i) (cbrt c))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
7×	`associate-r`
4×	`add-log-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `associate-l` `-commutative` `flip-+`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
13.0ms	(* (* (cbrt c) (cbrt c)) (* (* (+ a (* c b)) i) (cbrt c)))
7.0ms	(* (* (+ a (* c b)) i) (cbrt c))

series117.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt c)
21.0ms	(cbrt c)
19.0ms	(* (* (cbrt c) (cbrt c)) (* (* (+ a (* c b)) i) (cbrt c)))
55.0ms	(* (* (+ a (* c b)) i) (cbrt c))

simplify50.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5011	715

prune106.0ms

Filtered

53 candidates to 87 candidates (-64.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	86	9	95

Merged error: 0.5b

Counts

95 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt c)
0.7b	(* (* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c))))) (cbrt (cbrt c)))
2.2b	(* (* (cbrt c) (cbrt c)) (* (* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c))))) (cbrt (cbrt c))))
2.4b	(* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

72×	`pow1` `add-exp-log`
51×	`pow-prod-down` `prod-exp` `cbrt-unprod`
42×	`add-cbrt-cube`
12×	`cbrt-prod`
11×	`associate-r`
10×	`associate-*l/`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`associate-*r/`
1×	`pow1/3`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt c)
15.0ms	(* (* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c))))) (cbrt (cbrt c)))
23.0ms	(* (* (cbrt c) (cbrt c)) (* (* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c))))) (cbrt (cbrt c))))
12.0ms	(* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c)))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt c)
53.0ms	(* (* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c))))) (cbrt (cbrt c)))
21.0ms	(* (* (cbrt c) (cbrt c)) (* (* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c))))) (cbrt (cbrt c))))
83.0ms	(* (+ a (* c b)) (* i (* (cbrt (cbrt c)) (cbrt (cbrt c)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5061	1667

prune94.0ms

Filtered

61 candidates to 120 candidates (-96.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	5	5
Picked	1	0	1
Done	1	2	3
Total	121	8	129

Merged error: 0.3b

Counts

129 → 8

regimes2.3s

Accuracy

77.1% (1.2b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 5.3b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	134	59
1	134	59

end0.0ms

sample1.6s

Algorithm

intervals

Results

486.0ms	8000×	body	80	valid
440.0ms	7102×	body	80	invalid

Details

analyze1.6s

sample62.0ms

simplify172.0ms

prune22.0ms

localize14.0ms

rewrite23.0ms

series390.0ms

simplify60.0ms

prune120.0ms

localize18.0ms

rewrite24.0ms

series120.0ms

simplify48.0ms

prune108.0ms

localize18.0ms

rewrite25.0ms

series117.0ms

simplify50.0ms

prune106.0ms

localize26.0ms

rewrite56.0ms

series178.0ms

simplify51.0ms

prune94.0ms

regimes2.3s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample1.6s

Profiling