Details

sample92.0ms

Algorithm

intervals

Results

14.0ms	426×	body	80	valid
8.0ms	426×	pre	80	true

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	110	13
4	379	13
5	1133	13
6	3190	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

56.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
29.0ms	(* m (- 1.0 m))
25.0ms	(/ (* m (- 1.0 m)) v)
154.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series258.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
75.0ms	(* m (- 1.0 m))
60.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.7s

Counts

181 → 181

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	265	3570
1	579	2895
2	1783	2511
done	5001	2405

prune419.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

37.0ms	(* v (+ 1.0 m))
228.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
53.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
38.0ms	(* m (- (* 1.0 1.0) (* m m)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* v (+ 1.0 m))
86.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
99.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
81.0ms	(* m (- (* 1.0 1.0) (* m m)))

simplify2.3s

Counts

147 → 147

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	255	3578
1	661	3317
2	2856	2936
done	5000	2912

prune449.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
45×	`add-cube-cbrt` `times-frac`
27×	`associate-r`
21×	`prod-diff`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`difference-of-squares`
9×	`distribute-lft-out`
8×	`pow1` `flip3--` `flip--`
6×	`add-log-exp`
5×	`cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r` `associate-/r/` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-r/` `associate-l/` `div-inv`
2×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `fma-neg` `diff-log` `div-sub` `clear-num` `distribute-lft-out--`

Counts

4 → 174

Calls

4 calls:

39.0ms	(- (* (/ m v) (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))) 1.0)
180.0ms	(* (- (* (/ m v) (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))) 1.0) (- 1.0 m))
84.0ms	(* (/ m v) (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m)))
53.0ms	(/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))

series401.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* (/ m v) (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))) 1.0)
106.0ms	(* (- (* (/ m v) (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))) 1.0) (- 1.0 m))
105.0ms	(* (/ m v) (/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m)))
123.0ms	(/ (- (* 1.0 1.0) (* m m)) (+ 1.0 m))

simplify2.7s

Counts

186 → 186

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	308	4822
1	804	4421
2	3033	4046
done	5001	3117

prune696.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m))) 1.0)
0.0b	(* v (+ 1.0 m))
0.0b	(* (- (/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
0.0b	(/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m)))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
48×	`*-un-lft-identity` `prod-diff`
40×	`add-cube-cbrt`
20×	`times-frac`
14×	`associate-*r/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`fma-neg` `associate-/r/`
9×	`associate-r`
8×	`pow1` `associate-l`
7×	`flip3--` `flip3-+` `flip--` `flip-+`
6×	`distribute-lft-neg-in` `distribute-rgt-out` `unpow3` `div-sub` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `associate-/l*`
3×	`associate--l-` `sub-neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `neg-sub0` `associate-+r-` `div-exp` `unsub-neg` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r*` `distribute-lft-out`

Counts

4 → 170

Calls

4 calls:

527.0ms	(- (/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m))) 1.0)
42.0ms	(* v (+ 1.0 m))
1.1s	(* (- (/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
162.0ms	(/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m))) 1.0)
41.0ms	(* v (+ 1.0 m))
90.0ms	(* (- (/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
91.0ms	(/ (+ (* (* 1.0 1.0) m) (- (pow m 3))) (* v (+ 1.0 m)))

simplify2.6s

Counts

182 → 182

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	287	5316
1	710	4549
2	2518	4110
done	5001	3952

prune580.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	16	21
done	16	21

end0.0ms

sample1.8s

Algorithm

intervals

Results

880.0ms	13899×	body	80	valid
393.0ms	13899×	pre	80	true