Details

sample152.0ms

Algorithm

intervals

Results

29.0ms	460×	body	80	valid
14.0ms	460×	pre	80	true

simplify113.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 3 expressions with local error:

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

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `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 → 83

Calls

3 calls:

47.0ms	(* m (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)
121.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series214.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* m (- 1.0 m))
78.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify67.0ms

Counts: 92 → 92

prune270.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
11×	`associate-l`
10×	`pow1` `add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
7×	`prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-undiv` `frac-times` `sub-neg` `div-exp` `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 → 107

Calls

4 calls:

22.0ms	(* v (+ 1.0 m))
51.0ms	(* m (- (* 1.0 1.0) (* m m)))
280.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
41.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* v (+ 1.0 m))
128.0ms	(* m (- (* 1.0 1.0) (* m m)))
84.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
93.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify124.0ms

Counts: 119 → 119

prune404.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (* (/ (* m 1) v) (- 1.0 m)) 1.0) (- 1.0 m))
0.1b	(* (/ (* m 1) v) (- 1.0 m))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

189.0ms	(* (- (* (/ (* m 1) v) (- 1.0 m)) 1.0) (- 1.0 m))
43.0ms	(* (/ (* m 1) v) (- 1.0 m))

series139.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* (- (* (/ (* m 1) v) (- 1.0 m)) 1.0) (- 1.0 m))
70.0ms	(* (/ (* m 1) v) (- 1.0 m))

simplify45.0ms

Counts: 76 → 76

prune192.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 212

Calls

4 calls:

142.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
7.0ms	(/ m (sqrt v))
20.0ms	(/ (- 1.0 m) (sqrt v))
88.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
59.0ms	(/ m (sqrt v))
73.0ms	(/ (- 1.0 m) (sqrt v))
89.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify126.0ms

Counts: 224 → 224

prune795.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

7.9% (0.0b remaining)

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

bsearch0.0ms

simplify47.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13779×	body	80	valid
400.0ms	13779×	pre	80	true