Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

325×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

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)))
7.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite41.0ms

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:

11.0ms	(* (* z 2.0) (- 1.0 t))
18.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series164.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (* z 2.0) (- 1.0 t))
48.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
67.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune157.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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))

rewrite85.0ms

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:

9.0ms	(+ (/ 2.0 z) 2.0)
38.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
36.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series133.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (/ 2.0 z) 2.0)
56.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
42.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

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

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

8.0ms	(+ (/ 2.0 z) 2.0)
40.0ms	(+ (/ x y) (- (* 1 (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
23.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series120.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (/ 2.0 z) 2.0)
48.0ms	(+ (/ x y) (- (* 1 (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
42.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify112.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	352	522
1	1169	485
2	4870	461
3	5001	461

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b	(* y (* t z))
2.3b	(* x (* t z))
3.8b	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
20.3b	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

rewrite42.0ms

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

series299.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (* t z))
32.0ms	(* x (* t z))
64.0ms	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
178.0ms	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (11.0ms)

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

prune196.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes102.0ms

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	20	7
2	20	7

end0.0ms

sample850.0ms

Algorithm

intervals

Results

578.0ms

10485×

body

valid