Details

sample44.0ms

Algorithm

intervals

Results

24.0ms

335×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

prune2.0ms

Filtered

1 candidates to 0 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: 10.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.2b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

7.0ms	(* (* z 2.0) (- 1.0 t))
11.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series155.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* z 2.0) (- 1.0 t))
49.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
64.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify51.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	415	543
1	1753	476
2	5001	473

prune138.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-exp-log`
11×	`add-cube-cbrt` `times-frac`
10×	`add-log-exp`
8×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-+r+` `associate-r` `prod-exp` `associate--l+`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `unswap-sqr`
2×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `div-exp` `frac-add` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

3 → 76

Calls

3 calls:

11.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series122.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
54.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
37.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	499	648
1	2111	584
2	5001	567

prune156.0ms

Filtered

85 candidates to 62 candidates (72.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
9.5b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
9.5b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

7.0ms	(* (* z 2.0) (- 1.0 t))
30.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
5.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
8.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

series207.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* z 2.0) (- 1.0 t))
48.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
54.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
63.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	648	1506
1	2536	1409
2	5001	1409

prune310.0ms

Filtered

151 candidates to 114 candidates (75.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	151	5	156

Merged error: 0.0b

Counts

156 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))) (/ (* t z) (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
3.8b	(sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
3.8b	(sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
4.0b	(/ (* t z) (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
72×	`sqrt-prod`
59×	`add-sqr-sqrt`
57×	`add-cube-cbrt` `*-un-lft-identity`
22×	`sqrt-div`
18×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
17×	`associate-/r/`
11×	`flip3-+` `flip-+`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`pow1`
4×	`add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`

Counts

4 → 168

Calls

4 calls:

11.0ms	(/ (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))) (/ (* t z) (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
2.0ms	(sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
2.0ms	(sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
6.0ms	(/ (* t z) (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))) (/ (* t z) (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
82.0ms	(sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
81.0ms	(sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
143.0ms	(/ (* t z) (sqrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	610	3173
1	2756	2989
2	5001	2841

prune391.0ms

Filtered

180 candidates to 117 candidates (65.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	180	5	185

Merged error: 0.0b

Counts

185 → 5

regimes159.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample769.0ms

Algorithm

intervals

Results

496.0ms

10556×

body

valid

Details

sample44.0ms

simplify53.0ms

prune2.0ms

localize11.0ms

rewrite26.0ms

series155.0ms

simplify51.0ms

prune138.0ms

localize10.0ms

rewrite44.0ms

series122.0ms

simplify50.0ms

prune156.0ms

localize11.0ms

rewrite55.0ms

series207.0ms

simplify73.0ms

prune310.0ms

localize13.0ms

rewrite30.0ms

series367.0ms

simplify83.0ms

prune391.0ms

regimes159.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample769.0ms

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