Details

Time bar (total: 19.8s)

sample172.0ms

Algorithm
intervals
Results
48.0ms429×body80valid
28.0ms429×pre80true

simplify1.1s

Calls
1 calls:
Slowest
1.1s
(* (- (/ (* m (- 1 m)) v) 1) m)

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

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)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
5×add-exp-log
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube fma-neg associate-*l* associate-*r/ insert-posit16 log1p-expm1-u flip-- add-log-exp
3×sub-neg associate-*r*
2×distribute-rgt-in distribute-lft-in difference-of-sqr-1 associate-*l/ *-commutative div-inv associate-/l/
1×expm1-def clear-num frac-2neg associate-/l*
Calls
4 calls:
Slowest
33.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)
5.0ms
(- (/ (* m (- 1 m)) v) 1)
4.0ms
(/ (* m (- 1 m)) v)
1.0ms
(* m (- 1 m))

series145.0ms

Calls
4 calls:
Slowest
51.0ms
(* m (- 1 m))
39.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)
36.0ms
(/ (* m (- 1 m)) v)
18.0ms
(- (/ (* m (- 1 m)) v) 1)

simplify2.9s

Calls
33 calls:
Slowest
455.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)
224.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
221.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
211.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
203.0ms
(* (- (* (/ (* m (- 1 m)) v) (/ (* m (- 1 m)) v)) (* 1 1)) m)

prune742.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* add-exp-log
3×expm1-log1p-u pow1 add-cbrt-cube fma-neg insert-posit16 log1p-expm1-u add-log-exp
2×flip3-- difference-of-sqr-1 associate-*l/ fma-udef flip--
1×expm1-def sub-neg associate--l+ *-commutative
Calls
3 calls:
Slowest
16.0ms
(* (- (fma (/ m v) (- m) (/ m v)) 1) m)
8.0ms
(- (fma (/ m v) (- m) (/ m v)) 1)
0.0ms
(fma (/ m v) (- m) (/ m v))

series135.0ms

Calls
3 calls:
Slowest
54.0ms
(fma (/ m v) (- m) (/ m v))
47.0ms
(* (- (fma (/ m v) (- m) (/ m v)) 1) m)
34.0ms
(- (fma (/ m v) (- m) (/ m v)) 1)

simplify2.0s

Calls
19 calls:
Slowest
352.0ms
(* (- (pow (fma (/ m v) (- m) (/ m v)) 3) (pow 1 3)) m)
210.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
204.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
189.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
180.0ms
(* (- (* (fma (/ m v) (- m) (/ m v)) (fma (/ m v) (- m) (/ m v))) (* 1 1)) m)

prune520.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×associate-/r*
8×*-un-lft-identity add-cube-cbrt
6×associate-/r/
5×fma-neg add-exp-log
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube associate-*l* insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
2×clear-num frac-2neg difference-of-sqr-1 associate-*l/
1×expm1-def sub-neg *-commutative
Calls
4 calls:
Slowest
15.0ms
(* (- (/ m (/ v (- 1 m))) 1) m)
5.0ms
(- (/ m (/ v (- 1 m))) 1)
1.0ms
(/ m (/ v (- 1 m)))
1.0ms
(/ v (- 1 m))

series147.0ms

Calls
4 calls:
Slowest
45.0ms
(/ m (/ v (- 1 m)))
38.0ms
(/ v (- 1 m))
34.0ms
(* (- (/ m (/ v (- 1 m))) 1) m)
30.0ms
(- (/ m (/ v (- 1 m))) 1)

simplify3.0s

Calls
34 calls:
Slowest
345.0ms
(* (- (pow (/ m (/ v (- 1 m))) 3) (pow 1 3)) m)
256.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
215.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
214.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
195.0ms
(* (- (* (/ m (/ v (- 1 m))) (/ m (/ v (- 1 m)))) (* 1 1)) m)

prune631.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* m (- 1 m)) (/ 1 v))
0.2b
(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
0.0b
(* m (- 1 m))
0.0b
(- (* (* m (- 1 m)) (/ 1 v)) 1)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
7×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*r/ add-cube-cbrt
6×pow1 add-cbrt-cube
5×flip3-- flip--
4×expm1-log1p-u associate-*l* associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×sub-neg *-commutative
2×distribute-rgt-in frac-times expm1-def distribute-lft-in prod-exp
1×fma-neg pow-prod-down un-div-inv cbrt-unprod div-inv
Calls
4 calls:
Slowest
34.0ms
(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
15.0ms
(- (* (* m (- 1 m)) (/ 1 v)) 1)
12.0ms
(* (* m (- 1 m)) (/ 1 v))
3.0ms
(* m (- 1 m))

series182.0ms

Calls
4 calls:
Slowest
61.0ms
(* (* m (- 1 m)) (/ 1 v))
56.0ms
(* m (- 1 m))
46.0ms
(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
19.0ms
(- (* (* m (- 1 m)) (/ 1 v)) 1)

simplify4.8s

Calls
41 calls:
Slowest
983.0ms
(* (- (pow (* (* m (- 1 m)) (/ 1 v)) 3) (pow 1 3)) m)
330.0ms
(* (- (* (* (* m (- 1 m)) (/ 1 v)) (* (* m (- 1 m)) (/ 1 v))) (* 1 1)) m)
324.0ms
(* (* m (- (pow 1 3) (pow m 3))) (/ 1 v))
292.0ms
(log (* (* m (- 1 m)) (/ 1 v)))
258.0ms
(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))

prune721.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s13734×body80valid
634.0ms13734×pre80true