Details

sample41.0ms

Algorithm

intervals

Results

28.0ms

325×

body

valid

simplify51.0ms

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: 9.0b

localize10.0ms

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)))
8.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite43.0ms

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:

12.0ms	(* (* z 2.0) (- 1.0 t))
16.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series155.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (* z 2.0) (- 1.0 t))
51.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
60.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (45.0ms)

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

prune171.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

47.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
38.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
42.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	489	525
1	2096	469
2	5001	452

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.0b	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.5b	(/ 2.0 (* t z))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

13.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
189.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
3.0ms	(/ 2.0 (* t z))

series125.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
53.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
21.0ms	(/ 2.0 (* t z))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	364	467
1	1273	436
2	5001	426

prune158.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

80.0ms	(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
49.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series128.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
63.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify92.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	326	455
1	1080	429
2	4475	402
3	5001	402

prune139.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes271.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

833.0ms

10444×

body

valid