Details

sample92.0ms

Algorithm

intervals

Results

18.0ms	438×	body	80	valid
9.0ms	438×	pre	80	true

simplify988.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1353
4	359
3	105
2	40
1	16
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

23.0ms	(* m (- 1.0 m))
12.0ms	(/ (* m (- 1.0 m)) v)
103.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series221.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* m (- 1.0 m))
76.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2208
1	419
0	147

prune364.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite903.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
116×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
65×	`add-cube-cbrt`
32×	`frac-times`
26×	`flip3--` `flip--`
23×	`difference-of-squares`
21×	`associate-/r*`
17×	`distribute-lft-out--`
16×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
14×	`associate-r` `sqrt-prod`
12×	`flip3-+` `flip-+`
11×	`pow1`
10×	`associate-*r/`
9×	`associate-/r/`
8×	`associate-l`
6×	`add-log-exp`
5×	`div-inv`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-/l*`
2×	`*-commutative` `distribute-lft-out`
1×	`clear-num` `frac-2neg` `diff-log` `unswap-sqr`

Counts

4 → 208

Calls

4 calls:

13.0ms	(- (sqrt 1.0) (sqrt m))
13.0ms	(/ m (/ v (- 1.0 m)))
391.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt m) (sqrt 1.0)))
468.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt m) (sqrt 1.0))) (- (sqrt 1.0) (sqrt m)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (sqrt 1.0) (sqrt m))
66.0ms	(/ m (/ v (- 1.0 m)))
205.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt m) (sqrt 1.0)))
238.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt m) (sqrt 1.0))) (- (sqrt 1.0) (sqrt m)))

simplify583.0ms

Counts

220 → 220

Iterations

Iter	Nodes
done	5001
1	1293
0	408

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
176×	`times-frac`
144×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
36×	`associate-r`
26×	`associate-/r*` `difference-of-squares`
25×	`add-cbrt-cube` `add-exp-log`
24×	`sqrt-prod` `distribute-lft-out` `distribute-lft-out--`
20×	`frac-times`
14×	`flip3--` `associate-*l/` `flip--`
13×	`associate-/r/`
11×	`pow1` `flip3-+` `flip-+`
8×	`associate-l` `associate-/l*`
7×	`prod-exp` `associate-*r/` `cbrt-unprod` `div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `div-sub` `unswap-sqr`

Counts

4 → 255

Calls

4 calls:

13.0ms	(/ m (/ v (- 1.0 m)))
459.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt m) (sqrt 1.0)))
522.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt m) (sqrt 1.0))) (/ (- 1.0 m) (+ (sqrt 1.0) (sqrt m))))
32.0ms	(/ (- 1.0 m) (+ (sqrt 1.0) (sqrt m)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ m (/ v (- 1.0 m)))
209.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt m) (sqrt 1.0)))
69.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt m) (sqrt 1.0))) (/ (- 1.0 m) (+ (sqrt 1.0) (sqrt m))))
236.0ms	(/ (- 1.0 m) (+ (sqrt 1.0) (sqrt m)))

simplify831.0ms

Counts

267 → 267

Iterations

Iter	Nodes
done	5001
1	1488
0	461

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite951.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
43×	`times-frac`
42×	`*-un-lft-identity`
30×	`associate-r`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube` `add-exp-log`
19×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
10×	`associate-/r/` `associate-/l*`
9×	`associate-l`
8×	`pow1` `flip3--` `flip--` `sqr-pow`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
6×	`associate-/r` `associate-r/` `div-inv`
5×	`flip3-+` `flip-+`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`difference-cubes`

Counts

4 → 162

Calls

4 calls:

93.0ms	(/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v)
96.0ms	(* m (- (pow 1.0 3) (pow m 3)))
696.0ms	(* (- (/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v) 1.0) (- 1.0 m))
60.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

series769.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v)
172.0ms	(* m (- (pow 1.0 3) (pow m 3)))
154.0ms	(* (- (/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v) 1.0) (- 1.0 m))
274.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

simplify511.0ms

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
1	916
0	299

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

792.0ms	13678×	pre	80	true
787.0ms	13678×	body	80	valid