Details

sample279.0ms

Algorithm

intervals

Results

10.0ms	422×	body	80	valid
6.0ms	422×	pre	80	true

simplify125.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series141.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	394	683
1	1939	511
2	5001	505

prune170.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 m) (* (- m) m))
0.0b	(/ (+ (* 1.0 m) (* (- m) m)) v)
0.2b	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
5×	`pow1` `distribute-rgt-out` `add-log-exp`
4×	`distribute-lft-neg-out` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`flip3-+` `div-sub` `unsub-neg` `associate-*l/` `flip-+` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

4.0ms	(+ (* 1.0 m) (* (- m) m))
6.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
16.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

series143.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* 1.0 m) (* (- m) m))
49.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
36.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

simplify44.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	331	681
1	1391	601
2	5001	581

prune194.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ m v) (- 1.0 m))
0.2b	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`prod-diff`
16×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r`
6×	`pow1`
3×	`flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `sub-neg` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 84

Calls

2 calls:

12.0ms	(* (/ m v) (- 1.0 m))
10.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

series73.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (/ m v) (- 1.0 m))
36.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	457	701
1	2028	533
2	5001	521

prune154.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
81×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`add-cube-cbrt`
61×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
12×	`associate-/r*`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
10×	`associate-l`
9×	`div-inv`
8×	`pow1` `associate-r`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--` `associate-/l/`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 198

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
27.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
9.0ms	(/ (* m (- 1.0 m)) (sqrt v))
11.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series195.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* m (- 1.0 m))
44.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
57.0ms	(/ (* m (- 1.0 m)) (sqrt v))
47.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify106.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	776	1900
1	3766	1543
2	5002	1528

prune341.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample709.0ms

Algorithm

intervals

Results

305.0ms	13708×	body	80	valid
178.0ms	13708×	pre	80	true