Details

sample285.0ms

Algorithm

intervals

Results

11.0ms	422×	body	80	valid
6.0ms	422×	pre	80	true

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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) (- 1.0 m))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

12.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
69.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series133.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify78.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5001	962

prune205.0ms

Filtered

134 candidates to 71 candidates (53.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 109

Calls

3 calls:

3.0ms	(+ (* 1.0 m) (* (- m) m))
9.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
85.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

series143.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* 1.0 m) (* (- m) m))
45.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
38.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify84.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	510	1396
1	2496	1173
2	5001	1145

prune239.0ms

Filtered

118 candidates to 77 candidates (65.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1.0 m) (* (- m) m)) v)
0.0b	(+ (fma (/ m (/ v (- 1.0 m))) 1.0 (- (* 1.0 1.0))) (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- m)))
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- m))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 193

Calls

4 calls:

11.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
16.0ms	(+ (fma (/ m (/ v (- 1.0 m))) 1.0 (- (* 1.0 1.0))) (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- m)))
9.0ms	(/ m (/ v (- 1.0 m)))
79.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- m))

series184.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
57.0ms	(+ (fma (/ m (/ v (- 1.0 m))) 1.0 (- (* 1.0 1.0))) (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- m)))
41.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- m))

simplify110.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	835	1864
1	4041	1728
2	5001	1703

prune644.0ms

Filtered

205 candidates to 162 candidates (79.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (/ m (/ v (- 1.0 m))) 1.0 (- (* 1.0 1.0))) (* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m)) (- (sqrt m))))
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m)) (- (sqrt m)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 188

Calls

4 calls:

10.0ms	(+ (fma (/ m (/ v (- 1.0 m))) 1.0 (- (* 1.0 1.0))) (* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m)) (- (sqrt m))))
9.0ms	(/ m (/ v (- 1.0 m)))
78.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m))
100.0ms	(* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m)) (- (sqrt m)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (fma (/ m (/ v (- 1.0 m))) 1.0 (- (* 1.0 1.0))) (* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m)) (- (sqrt m))))
41.0ms	(/ m (/ v (- 1.0 m)))
71.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m))
57.0ms	(* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (sqrt m)) (- (sqrt m)))

simplify121.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	866	2076
1	4529	1867
2	5001	1848

prune646.0ms

Filtered

200 candidates to 150 candidates (75.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes54.0ms

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	29	15
1	33	15
2	34	15
3	34	15

end0.0ms

sample703.0ms

Algorithm

intervals

Results

311.0ms	13708×	body	80	valid
177.0ms	13708×	pre	80	true