Details

Time bar (total: 2.7m)

sample176.0ms

Algorithm
intervals
Results
83.0ms480×body80valid
21.0ms480×pre80true

simplify474.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
473.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
12×add-cbrt-cube add-exp-log
11×distribute-rgt-in distribute-lft-in
10×associate-*l*
9×associate-*r*
7×pow1
4×associate-*r/ difference-of-squares
3×expm1-log1p-u associate-/r* times-frac flip3-- prod-exp cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp
2×cbrt-undiv sub-neg div-exp pow-prod-down associate-*l/ *-commutative distribute-lft-out-- unswap-sqr associate-/l/
1×clear-num frac-2neg difference-of-sqr-1 div-inv associate-/l*
Counts
3 → 101
Calls
3 calls:
Slowest
78.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)
17.0ms
(* m (- 1 m))
17.0ms
(/ (* m (- 1 m)) v)

series132.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
51.0ms
(* m (- 1 m))
43.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)
38.0ms
(/ (* m (- 1 m)) v)

simplify5.9s

Counts
74 → 110
Calls
74 calls:
Slowest
510.0ms
(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* m m) m))
456.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)
375.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)
310.0ms
(* (* (* m m) m) (* (* (- 1 m) (- 1 m)) (- 1 m)))
241.0ms
(/ (* (* (* m (- 1 m)) (* m (- 1 m))) (* m (- 1 m))) (* (* v v) v))

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
152×add-sqr-sqrt
134×*-un-lft-identity
81×add-cube-cbrt
38×difference-of-squares
30×associate-/r*
17×distribute-lft-out--
13×associate-*l*
12×add-cbrt-cube add-exp-log
11×associate-/r/
6×flip3-- div-inv flip-- associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×expm1-log1p-u difference-of-sqr-1 associate-*r* insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 194
Calls
3 calls:
Slowest
156.0ms
(* (- (/ m (/ v (- 1 m))) 1) m)
12.0ms
(/ m (/ v (- 1 m)))
9.0ms
(/ v (- 1 m))

series108.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
39.0ms
(/ m (/ v (- 1 m)))
39.0ms
(/ v (- 1 m))
30.0ms
(* (- (/ m (/ v (- 1 m))) 1) m)

simplify21.4s

Counts
252 → 203
Calls
252 calls:
Slowest
903.0ms
(* (* (* (- (/ m (/ v (- 1 m))) 1) (- (/ m (/ v (- 1 m))) 1)) (- (/ m (/ v (- 1 m))) 1)) (* (* m m) m))
526.0ms
(/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (- 1 m)) (cbrt (- 1 m)))))
520.0ms
(/ (* (* m m) m) (* (* (/ v (- 1 m)) (/ v (- 1 m))) (/ v (- 1 m))))
517.0ms
(/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) 1))
478.0ms
(/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) (+ 1 (sqrt m))))

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (/ v (- 1 m)) m))
0.2b
(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
0.1b
(/ (/ v (- 1 m)) m)
0.0b
(/ v (- 1 m))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
930×times-frac
592×add-sqr-sqrt
554×*-un-lft-identity
379×add-cube-cbrt
118×difference-of-squares
85×associate-/r*
54×distribute-lft-out--
35×associate-/r/
34×add-exp-log
30×associate-/l*
26×associate-*l*
24×div-inv
22×add-cbrt-cube
19×div-exp
18×flip3-- flip--
10×cbrt-undiv
7×pow1 difference-of-sqr-1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp clear-num frac-2neg 1-exp associate-*r*
2×associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr associate-/l/
Counts
4 → 542
Calls
4 calls:
Slowest
267.0ms
(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
29.0ms
(/ (/ v (- 1 m)) m)
17.0ms
(/ v (- 1 m))
15.0ms
(/ 1 (/ (/ v (- 1 m)) m))

series192.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
64.0ms
(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
61.0ms
(/ 1 (/ (/ v (- 1 m)) m))
37.0ms
(/ (/ v (- 1 m)) m)
29.0ms
(/ v (- 1 m))

simplify1.8m

Counts
808 → 554
Calls
808 calls:
Slowest
879.0ms
(/ (/ v (- (pow 1 3) (pow m 3))) (* (cbrt m) (cbrt m)))
840.0ms
(/ (sqrt 1) (/ (/ v (- 1 m)) (cbrt m)))
736.0ms
(/ (cbrt 1) (/ (/ (sqrt v) (- 1 m)) (cbrt m)))
674.0ms
(/ (sqrt 1) (/ (/ v (- (* 1 1) (* m m))) (* (cbrt m) (cbrt m))))
591.0ms
(/ (sqrt 1) (/ (/ (* (cbrt v) (cbrt v)) (sqrt (- 1 m))) (* (cbrt m) (cbrt m))))

prune5.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
20×*-un-lft-identity
17×add-cube-cbrt
16×associate-*l*
14×add-exp-log
11×times-frac
10×add-cbrt-cube
9×prod-diff
8×associate-*r*
7×pow1
5×distribute-rgt-in distribute-lft-in prod-exp add-log-exp
4×flip3-- flip-- unswap-sqr
3×expm1-log1p-u sub-neg fma-neg associate-*l/ cbrt-unprod insert-posit16 log1p-expm1-u
2×frac-times distribute-rgt-out-- div-exp pow-prod-down associate-*r/ *-commutative difference-of-squares
1×cbrt-undiv rec-exp diff-log 1-exp div-inv
Counts
3 → 100
Calls
3 calls:
Slowest
52.0ms
(* (- (* (/ 1 v) (- m (* m m))) 1) m)
26.0ms
(* (/ 1 v) (- m (* m m)))
10.0ms
(- m (* m m))

series177.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
68.0ms
(- m (* m m))
55.0ms
(* (- (* (/ 1 v) (- m (* m m))) 1) m)
53.0ms
(* (/ 1 v) (- m (* m m)))

simplify9.6s

Counts
78 → 109
Calls
78 calls:
Slowest
1.0s
(* (* (* (/ 1 v) (/ 1 v)) (/ 1 v)) (* (* (- m (* m m)) (- m (* m m))) (- m (* m m))))
972.0ms
(* (- (pow (* (/ 1 v) (- m (* m m))) 3) (pow 1 3)) m)
487.0ms
(* (- (* (* (/ 1 v) (- m (* m m))) (* (/ 1 v) (- m (* m m)))) (* 1 1)) m)
397.0ms
(* 1 (- (* m m) (* (* m m) (* m m))))
373.0ms
(+ (* m m) (+ (* (* m m) (* m m)) (* m (* m m))))

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.6s13873×body80valid
647.0ms13873×pre80true