Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.062988%

Guaranteed chance to sample good point: 43.475009%

Results

15.0ms	256×	body	80	valid
4.0ms	92×	body	80	invalid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	6
1	89	6
2	277	6
3	735	6
4	1436	6
5	1714	6
6	1730	6
7	1730	6

prune4.0ms

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: 8.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
8.2b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

5.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
6.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series38.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (* z 9.0) t)
12.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	399
1	1408	341
2	5002	341

prune127.0ms

Filtered

44 candidates to 63 candidates (-43.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	52	11	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	11	64

Merged error: 8.4b

Counts

64 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
0.2b	(* (* z 9.0) t)
6.5b	(/ (* x y) (* a 2.0))
7.2b	(/ (* (* z 9.0) t) (* a 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`div-inv`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

7.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
4.0ms	(* (* z 9.0) t)
5.0ms	(/ (* x y) (* a 2.0))
8.0ms	(/ (* (* z 9.0) t) (* a 2.0))

series40.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
3.0ms	(* (* z 9.0) t)
6.0ms	(/ (* x y) (* a 2.0))
6.0ms	(/ (* (* z 9.0) t) (* a 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	452	605
1	2932	489
2	5003	489

prune127.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 1.0b

Counts

104 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
0.5b	(/ (* z 9.0) a)
3.9b	(* (/ (* z 9.0) a) (/ t 2.0))
6.5b	(/ (* x y) (* a 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
17×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp` `associate-r` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `add-log-exp`
4×	`associate-/r*` `div-inv`
3×	`frac-times` `frac-sub`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l*` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `sub-div`

Counts

4 → 104

Calls

4 calls:

6.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
4.0ms	(/ (* z 9.0) a)
9.0ms	(* (/ (* z 9.0) a) (/ t 2.0))
5.0ms	(/ (* x y) (* a 2.0))

series40.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
3.0ms	(/ (* z 9.0) a)
6.0ms	(* (/ (* z 9.0) a) (/ t 2.0))
8.0ms	(/ (* x y) (* a 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	627	726
1	3660	609
2	5002	609

prune169.0ms

Filtered

76 candidates to 116 candidates (-52.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	114	12	126

Merged error: 0.3b

Counts

126 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ x a) (/ y 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
0.5b	(/ (* z 9.0) a)
3.9b	(* (/ (* z 9.0) a) (/ t 2.0))
5.8b	(* (/ x a) (/ y 2.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
42×	`add-exp-log` `add-cbrt-cube`
38×	`times-frac`
29×	`add-cube-cbrt` `*-un-lft-identity`
26×	`associate-r`
20×	`associate-l`
13×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
10×	`frac-times` `associate-r/` `associate-l/`
9×	`frac-sub`
8×	`pow1`
6×	`add-log-exp` `unswap-sqr`
5×	`div-inv`
3×	`associate-/r*` `sub-div`
2×	`pow-prod-down` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `associate-/l*`

Counts

4 → 141

Calls

4 calls:

6.0ms	(- (* (/ x a) (/ y 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
6.0ms	(/ (* z 9.0) a)
9.0ms	(* (/ (* z 9.0) a) (/ t 2.0))
9.0ms	(* (/ x a) (/ y 2.0))

series37.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* (/ x a) (/ y 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
3.0ms	(/ (* z 9.0) a)
6.0ms	(* (/ (* z 9.0) a) (/ t 2.0))
6.0ms	(* (/ x a) (/ y 2.0))

simplify97.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	848	941
1	4390	821
2	5002	821

prune166.0ms

Filtered

109 candidates to 153 candidates (-40.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	155	10	165

Merged error: 0b

Counts

165 → 10

regimes1.7s

Accuracy

83.2% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 8.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	23
1	50	23
2	50	23

end0.0ms

sample4.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.062988%

Guaranteed chance to sample good point: 43.475009%

Results

357.0ms	8000×	body	80	valid
141.0ms	3025×	body	80	invalid

Details

sample2.8s

simplify66.0ms

prune4.0ms

localize9.0ms

rewrite15.0ms

series38.0ms

simplify44.0ms

prune127.0ms

localize11.0ms

rewrite27.0ms

series40.0ms

simplify77.0ms

prune127.0ms

localize11.0ms

rewrite28.0ms

series40.0ms

simplify86.0ms

prune169.0ms

localize11.0ms

rewrite36.0ms

series37.0ms

simplify97.0ms

prune166.0ms

regimes1.7s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample4.0s

Profiling