Details

sample276.0ms

Algorithm

intervals

Results

10.0ms	429×	body	80	valid
6.0ms	429×	pre	80	true

simplify126.0ms

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)

rewrite84.0ms

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:

12.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
57.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series133.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* 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

prune179.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

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:

13.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
59.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series213.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
49.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify70.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (59.0ms)

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

prune238.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
0.3b	(* (* m (- 1.0 m)) (/ 1 v))
0.4b	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

12.0ms	(* m (- 1.0 m))
69.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
18.0ms	(* (* m (- 1.0 m)) (/ 1 v))
90.0ms	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

series212.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
76.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
41.0ms	(* (* m (- 1.0 m)) (/ 1 v))
49.0ms	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

simplify86.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	649	1200
1	3150	925
2	5002	900

prune271.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt m))
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.3b	(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
0.3b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt (sqrt m)))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
24×	`associate-r`
23×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

1.0ms	(sqrt (sqrt m))
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
203.0ms	(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
60.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt (sqrt m)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(sqrt (sqrt m))
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
47.0ms	(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
122.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt (sqrt m)))

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	527	1164
1	2412	977
2	5002	925

prune255.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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

sample697.0ms

Algorithm

intervals

Results

306.0ms	13759×	body	80	valid
174.0ms	13759×	pre	80	true