Details

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 4.968678%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

8.0ms	256×	body	80	valid
2.0ms	57×	body	80	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

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: 6.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.4b	(/ (* y (- z t)) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

9.0ms	(+ x (/ (* y (- z t)) a))
6.0ms	(* y (- z t))
7.0ms	(/ (* y (- z t)) a)

series34.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (/ (* y (- z t)) a))
7.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) a)

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	297	325
1	1236	280
2	5001	280

prune92.0ms

Filtered

45 candidates to 70 candidates (-55.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
5.4b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
18.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt a)
22.0ms	(cbrt a)
25.0ms	(cbrt a)
19.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	500	954
1	2500	845
2	5001	783

prune310.0ms

Filtered

85 candidates to 116 candidates (-36.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt a))
0.6b	(cbrt (cbrt a))
0.6b	(cbrt (cbrt a))
5.4b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
38×	`add-cbrt-cube`
27×	`cbrt-prod`
25×	`prod-exp` `cbrt-unprod`
20×	`add-sqr-sqrt`
17×	`cbrt-undiv` `div-exp`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac` `associate-r`
7×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv` `unswap-sqr`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

2.0ms	(cbrt (cbrt a))
2.0ms	(cbrt (cbrt a))
2.0ms	(cbrt (cbrt a))
20.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

series112.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (cbrt a))
31.0ms	(cbrt (cbrt a))
33.0ms	(cbrt (cbrt a))
19.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	486	1395
1	2417	968
2	5002	865

prune115.0ms

Filtered

74 candidates to 108 candidates (-45.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (+ (* y z) (* y (neg t))) a))
0.7b	(+ (* y z) (* y (neg t)))
7.4b	(/ (+ (* y z) (* y (neg t))) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
7×	`add-log-exp`
6×	`distribute-rgt-neg-out` `distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube`
4×	`div-sub` `associate-/l*`
3×	`pow1` `flip3-+` `unsub-neg` `associate-/r*` `flip-+`
2×	`+-commutative` `associate-+r-` `sum-log` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 63

Calls

3 calls:

8.0ms	(+ x (/ (+ (* y z) (* y (neg t))) a))
3.0ms	(+ (* y z) (* y (neg t)))
6.0ms	(/ (+ (* y z) (* y (neg t))) a)

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (/ (+ (* y z) (* y (neg t))) a))
7.0ms	(+ (* y z) (* y (neg t)))
13.0ms	(/ (+ (* y z) (* y (neg t))) a)

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	282	536
1	1066	465
2	5001	442

prune66.0ms

Filtered

54 candidates to 72 candidates (-33.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	73	7	80

Merged error: 0b

Counts

80 → 7

regimes646.0ms

Accuracy

88.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	18
1	39	18
2	40	18
3	40	18

end0.0ms

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 4.968678%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

277.0ms	8000×	body	80	valid
90.0ms	2233×	body	80	invalid

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Details

sample2.1s

simplify38.0ms

prune4.0ms

localize7.0ms

rewrite23.0ms

series34.0ms

simplify37.0ms

prune92.0ms

localize11.0ms

rewrite26.0ms

series88.0ms

simplify58.0ms

prune310.0ms

localize18.0ms

rewrite29.0ms

series112.0ms

simplify62.0ms

prune115.0ms

localize11.0ms

rewrite19.0ms

series35.0ms

simplify37.0ms

prune66.0ms

regimes646.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4