Details

Time bar (total: 57.8s)

sample120.0ms

Algorithm
intervals
Results
26.0ms428×body80valid
13.0ms428×pre80true

simplify246.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
245.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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
25.0ms
(* (/ m v) (- m (* m m)))
12.0ms
(- (* (/ m v) (- m (* m m))) m)
11.0ms
(- m (* m m))

series151.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
62.0ms
(* (/ m v) (- m (* m m)))
48.0ms
(- m (* m m))
40.0ms
(- (* (/ m v) (- m (* m m))) m)

simplify4.3s

Counts
54 → 84
Calls
54 calls:
Slowest
297.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
293.0ms
(* m (- (pow m 3) (pow (* m m) 3)))
293.0ms
(* m (- (* m m) (* (* m m) (* m m))))
274.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
270.0ms
(+ (* m m) (+ (* (* m m) (* m m)) (* m (* m m))))

prune573.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 v) (- m (* m m)))
0.2b
(* m (* (/ 1 v) (- m (* m m))))
0.0b
(- (* m (* (/ 1 v) (- m (* m m)))) m)
0.0b
(- m (* m m))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in add-cbrt-cube
16×*-un-lft-identity associate-*l*
13×prod-exp add-cube-cbrt
12×sub-neg
11×pow1 times-frac
9×associate-*r/
8×associate--l+ add-log-exp
7×cbrt-unprod
6×flip3-- associate-*r* flip--
4×frac-times div-exp pow-prod-down insert-posit16
3×unswap-sqr
2×cbrt-undiv rec-exp distribute-rgt-out-- diff-log 1-exp associate-*l/ *-commutative difference-of-squares
1×div-inv
Counts
4 → 118
Calls
4 calls:
Slowest
37.0ms
(- (* m (* (/ 1 v) (- m (* m m)))) m)
37.0ms
(* m (* (/ 1 v) (- m (* m m))))
20.0ms
(* (/ 1 v) (- m (* m m)))
5.0ms
(- m (* m m))

series237.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
76.0ms
(- m (* m m))
70.0ms
(* m (* (/ 1 v) (- m (* m m))))
61.0ms
(* (/ 1 v) (- m (* m m)))
29.0ms
(- (* m (* (/ 1 v) (- m (* m m)))) m)

simplify12.8s

Counts
90 → 130
Calls
90 calls:
Slowest
1.0s
(* (* (* (/ 1 v) (/ 1 v)) (/ 1 v)) (* (* (- m (* m m)) (- m (* m m))) (- m (* m m))))
762.0ms
(+ (log m) (log (* (/ 1 v) (- m (* m m)))))
399.0ms
(* (* (/ 1 v) (- (* m m))) m)
390.0ms
(* m (* (- (* m m)) (/ 1 v)))
387.0ms
(* (* (- (* m m)) (/ 1 v)) m)

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

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)

rewrite105.0ms

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
56.0ms
(* (* (/ m v) (+ (sqrt m) m)) (- (sqrt m) m))
33.0ms
(* (/ m v) (+ (sqrt m) m))
6.0ms
(+ (sqrt m) m)
6.0ms
(- (sqrt m) m)

series420.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
201.0ms
(* (* (/ m v) (+ (sqrt m) m)) (- (sqrt m) m))
122.0ms
(* (/ m v) (+ (sqrt m) m))
55.0ms
(- (sqrt m) m)
41.0ms
(+ (sqrt m) m)

simplify11.8s

Counts
113 → 136
Calls
113 calls:
Slowest
642.0ms
(* (* (/ (* (* m m) m) (* (* v v) v)) (* (* (+ (sqrt m) m) (+ (sqrt m) m)) (+ (sqrt m) m))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
523.0ms
(* (* (* (* (/ m v) (/ m v)) (/ m v)) (* (* (+ (sqrt m) m) (+ (sqrt m) m)) (+ (sqrt m) m))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
480.0ms
(* (* (* (* (/ m v) (+ (sqrt m) m)) (* (/ m v) (+ (sqrt m) m))) (* (/ m v) (+ (sqrt m) m))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
449.0ms
(* (* m (- (* (sqrt m) (sqrt m)) (* m m))) (- (pow (sqrt m) 3) (pow m 3)))
437.0ms
(* (* m (+ (sqrt m) m)) (- (pow (sqrt m) 3) (pow m 3)))

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 v) (+ (sqrt m) m))
0.3b
(* (* m (* (/ 1 v) (+ (sqrt m) m))) (- (sqrt m) m))
0.2b
(* m (* (/ 1 v) (+ (sqrt m) m)))
0.0b
(- (sqrt m) m)

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
36×add-sqr-sqrt
32×add-cbrt-cube associate-*r/
28×prod-exp
27×*-un-lft-identity
20×frac-times pow1
17×associate-*l*
16×associate-*r* cbrt-unprod
14×add-cube-cbrt
11×times-frac
10×flip3-+ pow-prod-down associate-*l/ flip-+
7×distribute-rgt-in distribute-lft-in flip3-- flip--
6×div-exp add-log-exp
5×sqrt-prod
4×distribute-rgt-out-- insert-posit16 difference-of-squares
3×cbrt-undiv rec-exp sub-neg 1-exp *-commutative unswap-sqr
2×distribute-rgt-out distribute-lft-out--
1×diff-log distribute-rgt1-in div-inv distribute-lft-out
Counts
4 → 148
Calls
4 calls:
Slowest
176.0ms
(* (* m (* (/ 1 v) (+ (sqrt m) m))) (- (sqrt m) m))
42.0ms
(* m (* (/ 1 v) (+ (sqrt m) m)))
21.0ms
(* (/ 1 v) (+ (sqrt m) m))
6.0ms
(- (sqrt m) m)

series410.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
218.0ms
(* (* m (* (/ 1 v) (+ (sqrt m) m))) (- (sqrt m) m))
83.0ms
(* m (* (/ 1 v) (+ (sqrt m) m)))
77.0ms
(* (/ 1 v) (+ (sqrt m) m))
31.0ms
(- (sqrt m) m)

simplify19.3s

Counts
135 → 160
Calls
135 calls:
Slowest
1.1s
(* (* (* (* m m) m) (* (/ (* (* 1 1) 1) (* (* v v) v)) (* (* (+ (sqrt m) m) (+ (sqrt m) m)) (+ (sqrt m) m)))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
745.0ms
(* (* (* (* m m) m) (* (* (* (/ 1 v) (/ 1 v)) (/ 1 v)) (* (* (+ (sqrt m) m) (+ (sqrt m) m)) (+ (sqrt m) m)))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
583.0ms
(* (* (* (* m m) m) (* (* (* (/ 1 v) (+ (sqrt m) m)) (* (/ 1 v) (+ (sqrt m) m))) (* (/ 1 v) (+ (sqrt m) m)))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))
575.0ms
(* (* m (* 1 (+ (sqrt m) m))) (- (pow (sqrt m) 3) (pow m 3)))
488.0ms
(* (* (* (* m (* (/ 1 v) (+ (sqrt m) m))) (* m (* (/ 1 v) (+ (sqrt m) m)))) (* m (* (/ 1 v) (+ (sqrt m) m)))) (* (* (- (sqrt m) m) (- (sqrt m) m)) (- (sqrt m) m)))

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s13624×body80valid
1.0s13624×pre80true