Details

Time bar (total: 6.8m)

sample133.0ms

Algorithm
intervals
Results
60.0ms420×body80valid
13.0ms420×pre80true

simplify392.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
390.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
13×add-cbrt-cube add-exp-log
12×associate-*r*
10×associate-*l* add-cube-cbrt
9×flip3-- flip--
8×pow1 difference-of-squares
6×associate-*r/ add-log-exp
5×sub-neg
4×distribute-rgt-in frac-times distribute-lft-in insert-posit16 distribute-lft-out--
3×associate-/r* times-frac prod-exp cbrt-unprod
2×cbrt-undiv 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 → 107
Calls
4 calls:
Slowest
89.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
27.0ms
(/ (* m (- 1 m)) v)
22.0ms
(- (/ (* m (- 1 m)) v) 1)
15.0ms
(* m (- 1 m))

series199.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
64.0ms
(* m (- 1 m))
58.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
56.0ms
(/ (* m (- 1 m)) v)
21.0ms
(- (/ (* m (- 1 m)) v) 1)

simplify9.1s

Counts
84 → 119
Calls
84 calls:
Slowest
680.0ms
(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* (- 1 m) (- 1 m)) (- 1 m)))
645.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- (* 1 1) (* m m)))
628.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- 1 m))
348.0ms
(* (+ (/ (* m (- 1 m)) v) 1) (+ 1 m))
340.0ms
(* (+ (/ (* m (- 1 m)) v) 1) (+ (* 1 1) (+ (* m m) (* 1 m))))

prune993.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
177×add-sqr-sqrt
143×*-un-lft-identity
82×add-cube-cbrt
46×difference-of-squares
30×associate-/r*
19×distribute-lft-out--
13×add-cbrt-cube associate-*l* add-exp-log
12×flip3-- flip--
11×associate-/r/
6×pow1 difference-of-sqr-1 associate-*r* div-inv associate-/l* add-log-exp
4×frac-times cbrt-undiv div-exp insert-posit16
3×sub-neg
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in associate-*l/ associate-*r/
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 224
Calls
4 calls:
Slowest
204.0ms
(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
62.0ms
(- (/ m (/ v (- 1 m))) 1)
10.0ms
(/ m (/ v (- 1 m)))
8.0ms
(/ v (- 1 m))

series166.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
63.0ms
(/ m (/ v (- 1 m)))
42.0ms
(/ v (- 1 m))
32.0ms
(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
29.0ms
(- (/ m (/ v (- 1 m))) 1)

simplify24.0s

Counts
290 → 236
Calls
290 calls:
Slowest
631.0ms
(* (- (pow (/ m (/ v (- 1 m))) 3) (pow 1 3)) (- (* 1 1) (* m m)))
567.0ms
(/ (* (* m m) m) (* (* (/ v (- 1 m)) (/ v (- 1 m))) (/ v (- 1 m))))
567.0ms
(/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (- 1 m)) (cbrt (- 1 m)))))
508.0ms
(* (- (pow (/ m (/ v (- 1 m))) 3) (pow 1 3)) (- 1 m))
502.0ms
(* (+ (/ m (/ v (- 1 m))) 1) (+ 1 m))

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
0.1b
(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
0.1b
(/ (* m (- 1 m)) v)
0.0b
(* m (- 1 m))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
30×add-sqr-sqrt
25×*-un-lft-identity
23×flip3-- flip--
20×associate-*r*
18×add-cbrt-cube add-exp-log
16×associate-*l/
14×associate-*r/
13×pow1
12×flip3-+ flip-+
11×associate-*l* add-cube-cbrt
8×difference-of-squares
6×prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×sub-neg sqrt-prod insert-posit16 distribute-lft-out-- add-log-exp
3×associate-/r* times-frac *-commutative
2×cbrt-undiv div-exp distribute-lft-out unswap-sqr associate-/l/
1×clear-num frac-2neg difference-of-sqr-1 div-inv associate-/l*
Counts
4 → 142
Calls
4 calls:
Slowest
121.0ms
(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
81.0ms
(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
24.0ms
(/ (* m (- 1 m)) v)
14.0ms
(* m (- 1 m))

series311.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
96.0ms
(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
70.0ms
(* m (- 1 m))
44.0ms
(/ (* m (- 1 m)) v)

simplify22.6s

Counts
136 → 154
Calls
136 calls:
Slowest
858.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- (* 1 1) (* (sqrt m) (sqrt m))))
803.0ms
(* (- (sqrt m)) (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))))
582.0ms
(* (* (- (* (/ (* m (- 1 m)) v) (/ (* m (- 1 m)) v)) (* 1 1)) (+ 1 (sqrt m))) (- (pow 1 3) (pow (sqrt m) 3)))
577.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (+ 1 (sqrt m)))
536.0ms
(* (+ (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

prune1.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite486.0ms

Algorithm
rewrite-expression-head
Rules
3138×times-frac
1935×add-sqr-sqrt
1860×*-un-lft-identity
1268×add-cube-cbrt
1197×sqrt-prod
404×difference-of-squares
291×associate-/r*
195×distribute-lft-out--
38×div-inv
28×associate-*l*
22×add-cbrt-cube add-exp-log
15×associate-/l*
10×cbrt-undiv div-exp
8×difference-of-sqr-1
7×flip3-- flip--
6×pow1 associate-*r* associate-/r/
4×frac-times insert-posit16 add-log-exp
3×clear-num frac-2neg
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ associate-*r/ associate-/l/
1×div-sub pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 1426
Calls
4 calls:
Slowest
320.0ms
(* (- (/ m (/ (sqrt v) (/ (- 1 m) (sqrt v)))) 1) (- 1 m))
22.0ms
(/ (- 1 m) (sqrt v))
20.0ms
(/ (sqrt v) (/ (- 1 m) (sqrt v)))
18.0ms
(/ m (/ (sqrt v) (/ (- 1 m) (sqrt v))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(/ m (/ (sqrt v) (/ (- 1 m) (sqrt v))))
71.0ms
(* (- (/ m (/ (sqrt v) (/ (- 1 m) (sqrt v)))) 1) (- 1 m))
65.0ms
(/ (- 1 m) (sqrt v))
63.0ms
(/ (sqrt v) (/ (- 1 m) (sqrt v)))

simplify5.4m

Counts
2406 → 1438
Calls
2406 calls:
Slowest
907.0ms
(/ (* (cbrt m) (cbrt m)) (/ (sqrt (sqrt v)) (/ (+ 1 (sqrt m)) 1)))
901.0ms
(* (* (* (- (/ m (/ (sqrt v) (/ (- 1 m) (sqrt v)))) 1) (- (/ m (/ (sqrt v) (/ (- 1 m) (sqrt v)))) 1)) (- (/ m (/ (sqrt v) (/ (- 1 m) (sqrt v)))) 1)) (* (* (- 1 m) (- 1 m)) (- 1 m)))
748.0ms
(/ (* (cbrt m) (cbrt m)) (/ (sqrt (* (cbrt v) (cbrt v))) (/ (+ (sqrt 1) (sqrt m)) (sqrt (* (cbrt v) (cbrt v))))))
720.0ms
(/ (* (cbrt m) (cbrt m)) (/ (sqrt 1) (/ (* (cbrt (- 1 m)) (cbrt (- 1 m))) (* (cbrt (sqrt v)) (cbrt (sqrt v))))))
657.0ms
(/ m (/ (sqrt (sqrt v)) (/ (- 1 m) (cbrt (sqrt v)))))

prune16.2s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.7s13648×body80valid
628.0ms13648×pre80true