Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

351×

body

valid

simplify52.0ms

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

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: 11.7b

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)))
11.7b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite28.0ms

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:

10.0ms	(* (* z 2.0) (- 1.0 t))
10.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (* z 2.0) (- 1.0 t))
13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

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

prune99.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 z) 2.0)
0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.1b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-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+` `flip3-+` `associate-r` `prod-exp` `flip-+`
3×	`sum-log` `distribute-lft-out` `unswap-sqr`
2×	`+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

3 → 74

Calls

3 calls:

8.0ms	(+ (/ 2.0 z) 2.0)
16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series22.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (/ 2.0 z) 2.0)
13.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
6.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	499	587
1	2115	523
2	5001	506

prune104.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

localize12.0ms

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))) (/ 1 (* t z))))
0.6b	(/ 1 (* t z))
11.6b	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

7.0ms	(* (* z 2.0) (- 1.0 t))
6.0ms	(+ (/ x y) (* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z))))
4.0ms	(/ 1 (* t z))
9.0ms	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* z 2.0) (- 1.0 t))
13.0ms	(+ (/ x y) (* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z))))
2.0ms	(/ 1 (* t z))
12.0ms	(* (+ 2.0 (* (* z 2.0) (- 1.0 t))) (/ 1 (* t z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	592	902
1	2780	802
2	5001	792

prune120.0ms

Filtered

69 candidates to 119 candidates (-72.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

2.5b	(* y (* t z))
2.8b	(* x (* t z))
4.0b	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
27.2b	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/l*`
2×	`associate-+r+` `flip3-+` `associate-r` `*-commutative` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `sum-log` `div-inv`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* y (* t z))
4.0ms	(* x (* t z))
5.0ms	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
10.0ms	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (* t z))
7.0ms	(* x (* t z))
20.0ms	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
36.0ms	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	382	760
1	1861	622
2	5002	622

prune91.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes323.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample943.0ms

Algorithm

intervals

Results

524.0ms

10487×

body

valid

Details

sample42.0ms

simplify52.0ms

prune4.0ms

localize11.0ms

rewrite28.0ms

series29.0ms

simplify47.0ms

prune99.0ms

localize10.0ms

rewrite39.0ms

series22.0ms

simplify47.0ms

prune104.0ms

localize12.0ms

rewrite29.0ms

series33.0ms

simplify73.0ms

prune120.0ms

localize15.0ms

rewrite26.0ms

series70.0ms

simplify54.0ms

prune91.0ms

regimes323.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample943.0ms

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