Details

Time bar (total: 51.1s)

sample131.0ms

Algorithm
intervals
Results
61.0ms420×body80valid
14.0ms420×pre80true

simplify161.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
160.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ m v) (- m (* m m)))
0.0b
(- (* (/ m v) (- m (* m m))) m)
0.0b
(- m (* m m))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log
7×add-log-exp
6×sub-neg
5×pow1 associate-*r*
4×distribute-rgt-in distribute-lft-in flip3-- associate--l+ flip--
3×insert-posit16
2×frac-times distribute-rgt-out-- diff-log prod-exp associate-*r/ cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
3 → 75
Calls
3 calls:
Slowest
27.0ms
(* (/ m v) (- m (* m m)))
13.0ms
(- (* (/ m v) (- m (* m m))) m)
4.0ms
(- m (* m m))

series324.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
122.0ms
(- m (* m m))
101.0ms
(* (/ m v) (- m (* m m)))
101.0ms
(- (* (/ m v) (- m (* m m))) m)

simplify4.0s

Counts
54 → 84
Calls
54 calls:
Slowest
292.0ms
(* m (- (pow m 3) (pow (* m m) 3)))
277.0ms
(* m (- (* m m) (* (* m m) (* m m))))
260.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
255.0ms
(+ (* m m) (+ (* (* m m) (* m m)) (* m (* m m))))
228.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))

prune618.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (/ (* m (- 1 m)) v) 1) m)
0.1b
(/ (* m (- 1 m)) v)
0.0b
(* m (- 1 m))
0.0b
(- (/ (* m (- 1 m)) v) 1)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×*-un-lft-identity
13×add-cbrt-cube add-exp-log
10×associate-*l* add-cube-cbrt
9×associate-*r*
8×pow1
6×add-log-exp difference-of-squares
4×flip3-- associate-*r/ insert-posit16 flip--
3×associate-/r* sub-neg times-frac prod-exp cbrt-unprod distribute-lft-out--
2×distribute-rgt-in cbrt-undiv distribute-lft-in difference-of-sqr-1 div-exp pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg diff-log div-inv associate-/l*
Counts
4 → 94
Calls
4 calls:
Slowest
59.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)
20.0ms
(- (/ (* m (- 1 m)) v) 1)
17.0ms
(/ (* m (- 1 m)) v)
14.0ms
(* m (- 1 m))

series156.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
56.0ms
(* m (- 1 m))
38.0ms
(/ (* m (- 1 m)) v)
32.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)
30.0ms
(- (/ (* m (- 1 m)) v) 1)

simplify5.4s

Counts
66 → 106
Calls
66 calls:
Slowest
458.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)
441.0ms
(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* m m) m))
236.0ms
(* m (- (pow 1 3) (pow m 3)))
212.0ms
(/ (* (* (* m m) m) (* (* (- 1 m) (- 1 m)) (- 1 m))) (* (* v v) v))
212.0ms
(/ (* (* (* m (- 1 m)) (* m (- 1 m))) (* m (- 1 m))) (* (* v v) v))

prune837.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (/ m (/ v (- 1 m))) 1) m)
0.1b
(/ m (/ v (- 1 m)))
0.0b
(- (/ m (/ v (- 1 m))) 1)
0.0b
(/ v (- 1 m))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
174×add-sqr-sqrt
140×*-un-lft-identity
82×add-cube-cbrt
44×difference-of-squares
30×associate-/r*
18×distribute-lft-out--
13×add-cbrt-cube associate-*l* add-exp-log
11×associate-/r/
7×flip3-- flip--
6×pow1 difference-of-sqr-1 div-inv associate-/l* add-log-exp
4×cbrt-undiv div-exp insert-posit16
3×associate-*r*
2×clear-num frac-2neg associate-*l/
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 211
Calls
4 calls:
Slowest
185.0ms
(* (- (/ m (/ v (- 1 m))) 1) m)
45.0ms
(- (/ m (/ v (- 1 m))) 1)
10.0ms
(/ m (/ v (- 1 m)))
9.0ms
(/ v (- 1 m))

series146.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
52.0ms
(* (- (/ m (/ v (- 1 m))) 1) m)
39.0ms
(/ v (- 1 m))
38.0ms
(/ m (/ v (- 1 m)))
17.0ms
(- (/ m (/ v (- 1 m))) 1)

simplify21.0s

Counts
272 → 223
Calls
272 calls:
Slowest
946.0ms
(/ (* (* m m) m) (* (* (/ v (- 1 m)) (/ v (- 1 m))) (/ v (- 1 m))))
505.0ms
(/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (- 1 m)) (cbrt (- 1 m)))))
448.0ms
(* (* (* (- (/ m (/ v (- 1 m))) 1) (- (/ m (/ v (- 1 m))) 1)) (- (/ m (/ v (- 1 m))) 1)) (* (* m m) m))
400.0ms
(/ (sqrt m) (/ v (- (pow 1 3) (pow m 3))))
391.0ms
(/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) (+ 1 (sqrt m))))

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ m v) (+ (sqrt m) m))
0.3b
(* (* (/ m v) (+ (sqrt m) m)) (- (sqrt m) m))
0.0b
(- (sqrt m) m)
0.0b
(+ (sqrt m) m)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
29×*-un-lft-identity
18×frac-times add-cbrt-cube add-exp-log
15×associate-*r*
14×associate-*l*
13×add-cube-cbrt
11×pow1
10×times-frac associate-*r/
9×flip3-+ associate-*l/ flip-+
8×add-log-exp
7×flip3-- prod-exp cbrt-unprod flip--
6×sqrt-prod
4×distribute-rgt-out distribute-rgt-out-- pow-prod-down insert-posit16 difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in
2×cbrt-undiv div-exp distribute-rgt1-in *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative sum-log diff-log div-inv
Counts
4 → 124
Calls
4 calls:
Slowest
53.0ms
(* (* (/ m v) (+ (sqrt m) m)) (- (sqrt m) m))
26.0ms
(* (/ m v) (+ (sqrt m) m))
7.0ms
(- (sqrt m) m)
6.0ms
(+ (sqrt m) m)

series385.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
225.0ms
(* (* (/ m v) (+ (sqrt m) m)) (- (sqrt m) m))
77.0ms
(* (/ m v) (+ (sqrt m) m))
47.0ms
(- (sqrt m) m)
35.0ms
(+ (sqrt m) m)

simplify11.5s

Counts
113 → 136
Calls
113 calls:
Slowest
702.0ms
(* (* (/ (* (* m m) m) (* (* v v) v)) (* (* (+ (sqrt m) m) (+ (sqrt m) m)) (+ (sqrt m) m))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
555.0ms
(* (* (* (* (/ m v) (/ m v)) (/ m v)) (* (* (+ (sqrt m) m) (+ (sqrt m) m)) (+ (sqrt m) m))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
461.0ms
(* (* (* (* (/ m v) (+ (sqrt m) m)) (* (/ m v) (+ (sqrt m) m))) (* (/ m v) (+ (sqrt m) m))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
397.0ms
(* (* m (- (* (sqrt m) (sqrt m)) (* m m))) (- (pow (sqrt m) 3) (pow m 3)))
392.0ms
(* (* m (+ (sqrt m) m)) (- (pow (sqrt m) 3) (pow m 3)))

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s13648×body80valid
655.0ms13648×pre80true