Details

sample280.0ms

Algorithm

intervals

Results

11.0ms	434×	body	80	valid
7.0ms	434×	pre	80	true

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite36.0ms

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))
8.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series140.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
55.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify61.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (53.0ms)

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

prune172.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`associate-r`
20×	`*-un-lft-identity`
16×	`times-frac`
14×	`add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-l`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`expm1-log1p-u` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `associate-*r/` `div-exp` `flip--` `div-inv`

Counts

2 → 62

Calls

2 calls:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
37.0ms	(* m (/ (- 1.0 m) v))

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	304	391
1	1418	357
2	5001	351

prune130.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 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) (sqrt m))
0.5b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
16.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series212.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
77.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
49.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify72.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	524	1015
1	2424	784
2	5001	770

prune233.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))
0.5b	(* (* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (sqrt m)) (sqrt m))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
63×	`sqrt-prod`
40×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
23×	`associate-l`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
11×	`pow1`
9×	`unswap-sqr`
8×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
5×	`associate-*l/`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 211

Calls

4 calls:

8.0ms	(/ (- 1.0 m) (sqrt v))
5.0ms	(/ m (sqrt v))
25.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))
18.0ms	(* (* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (sqrt m)) (sqrt m))

series192.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (- 1.0 m) (sqrt v))
44.0ms	(/ m (sqrt v))
49.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))
54.0ms	(* (* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (sqrt m)) (sqrt m))

simplify104.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	844	1821
1	4111	1638
2	5001	1600

prune512.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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

sample761.0ms

Algorithm

intervals

Results

333.0ms	13925×	body	80	valid
191.0ms	13925×	pre	80	true