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

sample41.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
1.0ms	10×	body	80	invalid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 30.7b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

9.0ms	(* (+ (* (+ y a) y) b) y)
7.0ms	(* (+ (* x y) z) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series179.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* (+ y a) y) b) y)
8.0ms	(* (+ (* x y) z) y)
15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
148.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5050	2165

prune223.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Merged error: 29.7b

Counts

104 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* x y) z))
0.1b	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
0.3b	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
30.0b	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*r/` `add-log-exp`
2×	`distribute-rgt-in` `rec-exp` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 159

Calls

4 calls:

7.0ms	(* y (+ (* x y) z))
12.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
26.0ms	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
27.0ms	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

series387.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (+ (* x y) z))
10.0ms	(* y (+ (* y (+ (* x y) z)) 27464.7644705))
138.0ms	(/ 1 (/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t)))
233.0ms	(/ (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i) (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4957	6447
1	4957	6447

prune270.0ms

Filtered

121 candidates to 171 candidates (-41.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	172	8	180

Merged error: 29.7b

Counts

180 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
30.0b	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
33.0ms	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series190.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
22.0ms	(cbrt y)
23.0ms	(cbrt y)
123.0ms	(/ (+ (* (+ (* (* (+ (* y (+ (* x y) z)) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4933	1588
1	4933	1588

prune134.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	76	8	84

Merged error: 29.7b

Counts

84 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

9.0ms	(* (+ (* x y) z) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
14.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
31.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* x y) z) y)
16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
23.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
145.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify46.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5353	2861

prune143.0ms

Filtered

90 candidates to 127 candidates (-41.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	127	8	135

Merged error: 29.7b

Counts

135 → 8

regimes974.0ms

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	40
1	45	40

end0.0ms

sample1.1s

Algorithm

intervals

Results

688.0ms	8000×	body	80	valid
26.0ms	260×	body	80	invalid

Details

analyze1.9s

sample41.0ms

simplify146.0ms

prune12.0ms

localize29.0ms

rewrite56.0ms

series179.0ms

simplify51.0ms

prune223.0ms

localize23.0ms

rewrite78.0ms

series387.0ms

simplify75.0ms

prune270.0ms

localize30.0ms

rewrite38.0ms

series190.0ms

simplify65.0ms

prune134.0ms

localize24.0ms

rewrite68.0ms

series193.0ms

simplify46.0ms

prune143.0ms

regimes974.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling