Details

analyze1.9s

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

sample144.0ms

Algorithm

intervals

Results

15.0ms	254×	body	80	invalid
15.0ms	256×	body	80	valid

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	9
1	77	9
2	230	9
3	735	9
4	1920	9
5	2994	9
6	3388	9
7	4078	9
8	5001	9

prune11.0ms

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: 5.4b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
7.6b	(* (* (+ a (* b c)) c) i)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

3.0ms	(+ a (* b c))
12.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
10.0ms	(* (+ a (* b c)) c)
14.0ms	(* (* (+ a (* b c)) c) i)

series386.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ a (* b c))
350.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
12.0ms	(* (+ a (* b c)) c)
18.0ms	(* (* (+ a (* b c)) c) i)

simplify62.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	431	642
1	1992	581
2	5002	573

prune197.0ms

Filtered

58 candidates to 81 candidates (-39.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	73	8	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	9	82

Merged error: 1.0b

Counts

82 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
5.3b	(* (+ a (* b c)) (* c i))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
2.0ms	(+ a (* b c))
6.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
7.0ms	(* (+ a (* b c)) (* c i))

series424.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x y) (* z t))
6.0ms	(+ a (* b c))
391.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
17.0ms	(* (+ a (* b c)) (* c i))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	404	600
1	1775	555
2	5003	547

prune126.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	71	10	81

Merged error: 1.0b

Counts

81 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (- (+ (* x y) (* z t)) 0))
0.0b	(+ (* x y) (* z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`sub-neg` `associate-*r/` `associate--l+`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

8.0ms	(* 2.0 (- (+ (* x y) (* z t)) 0))
4.0ms	(+ (* x y) (* z t))

series23.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(* 2.0 (- (+ (* x y) (* z t)) 0))
10.0ms	(+ (* x y) (* z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	223	248
1	1117	223
2	5001	220

prune111.0ms

Filtered

33 candidates to 45 candidates (-36.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	43	12	55

Merged error: 1.0b

Counts

55 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
49.0ms	(cbrt (+ (* x y) (* z t)))
40.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))

simplify197.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (186.0ms)

Iter	Nodes	Cost
0	315	1087
1	1067	1022
2	4322	952
3	5001	933

prune125.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	99	12	111

Merged error: 1.0b

Counts

111 → 12

regimes3.3s

Accuracy

0% (1.0b remaining)

Error of 1.6b against oracle of 0.6b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

analyze1.9s

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

sample1.8s

Algorithm

intervals

Results

555.0ms	8000×	body	80	valid
503.0ms	7251×	body	80	invalid

Details

analyze1.9s

sample144.0ms

simplify197.0ms

prune11.0ms

localize27.0ms

rewrite41.0ms

series386.0ms

simplify62.0ms

prune197.0ms

localize15.0ms

rewrite20.0ms

series424.0ms

simplify56.0ms

prune126.0ms

localize8.0ms

rewrite13.0ms

series23.0ms

simplify46.0ms

prune111.0ms

localize13.0ms

rewrite25.0ms

series177.0ms

simplify197.0ms

prune125.0ms

regimes3.3s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.9s

sample1.8s

Profiling