Details

Time bar (total: 3.0m)

sample261.0ms

Algorithm
intervals
Results
108.0ms430×pre80true
45.0ms430×body80valid

simplify570.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
569.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
61×*-un-lft-identity
57×prod-diff
49×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
19×add-exp-log
15×times-frac
13×add-cbrt-cube
12×associate-*r*
10×associate-*l*
9×flip3-- flip--
8×pow1 difference-of-squares
7×fma-neg
6×associate-*r/ add-log-exp
5×sub-neg div-inv
4×expm1-log1p-u frac-times div-exp prod-exp insert-posit16 log1p-expm1-u distribute-lft-out--
3×expm1-def associate-/r* cbrt-unprod
2×cbrt-undiv difference-of-sqr-1 pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg diff-log associate-/l*
Counts
4 → 182
Calls
4 calls:
Slowest
119.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
109.0ms
(- (/ (* m (- 1 m)) v) 1)
40.0ms
(/ (* m (- 1 m)) v)
36.0ms
(* m (- 1 m))

series206.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
60.0ms
(* m (- 1 m))
45.0ms
(/ (* m (- 1 m)) v)
20.0ms
(- (/ (* m (- 1 m)) v) 1)

simplify24.9s

Counts
171 → 194
Calls
171 calls:
Slowest
893.0ms
(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* (- 1 m) (- 1 m)) (- 1 m)))
872.0ms
(* (fma (- (cbrt m)) (* (cbrt m) (cbrt m)) (* (cbrt m) (* (cbrt m) (cbrt m)))) (- (/ (* m (- 1 m)) v) 1))
637.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- 1 m))
592.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- (* 1 1) (* m m)))
575.0ms
(* (+ (/ (* m (- 1 m)) v) 1) (+ 1 m))

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
33×*-un-lft-identity
27×prod-diff
24×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
7×flip3-- associate-*l* flip--
6×associate-*r* add-exp-log difference-of-squares
5×pow1 add-cbrt-cube add-log-exp
4×frac-times
3×expm1-log1p-u sub-neg fma-neg insert-posit16 log1p-expm1-u distribute-lft-out--
2×difference-of-sqr-1 associate-*l/ associate-*r/ fma-udef
1×expm1-def diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
3 → 102
Calls
3 calls:
Slowest
27.0ms
(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))
5.0ms
(- (fma (/ m v) (- m) (/ m v)) 1)
0.0ms
(fma (/ m v) (- m) (/ m v))

series119.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
47.0ms
(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))
42.0ms
(fma (/ m v) (- m) (/ m v))
30.0ms
(- (fma (/ m v) (- m) (/ m v)) 1)

simplify12.9s

Counts
88 → 111
Calls
88 calls:
Slowest
666.0ms
(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))
613.0ms
(* (+ (fma (/ m v) (- m) (/ m v)) 1) (+ (* 1 1) (+ (* m m) (* 1 m))))
446.0ms
(* (- (pow (fma (/ m v) (- m) (/ m v)) 3) (pow 1 3)) (- (* 1 1) (* m m)))
407.0ms
(* (- m) (- (fma (/ m v) (- m) (/ m v)) 1))
386.0ms
(* (- (pow (fma (/ m v) (- m) (/ m v)) 3) (pow 1 3)) (- (pow 1 3) (pow m 3)))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize31.0ms

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

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
684×times-frac
594×add-sqr-sqrt
560×*-un-lft-identity
391×add-cube-cbrt
249×prod-diff
118×difference-of-squares
77×fma-neg
55×distribute-lft-out--
39×associate-/r/
30×associate-/r*
24×flip3-- flip--
22×div-inv
19×add-exp-log
13×add-cbrt-cube associate-*l*
11×distribute-rgt-in distribute-lft-in
7×div-exp
6×pow1 difference-of-sqr-1 associate-*r* associate-/l* add-log-exp
4×expm1-log1p-u frac-times cbrt-undiv insert-posit16 log1p-expm1-u
3×expm1-def sub-neg
2×clear-num frac-2neg associate-*l/ associate-*r/
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 561
Calls
4 calls:
Slowest
230.0ms
(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
68.0ms
(- (/ m (/ v (- 1 m))) 1)
21.0ms
(/ m (/ v (- 1 m)))
12.0ms
(/ v (- 1 m))

series136.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
41.0ms
(/ m (/ v (- 1 m)))
38.0ms
(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
35.0ms
(/ v (- 1 m))
21.0ms
(- (/ m (/ v (- 1 m))) 1)

simplify2.0m

Counts
848 → 573
Calls
848 calls:
Slowest
1.1s
(* (- (pow (/ m (/ v (- 1 m))) 3) (pow 1 3)) (- (* 1 1) (* m m)))
879.0ms
(fma (/ (* (cbrt m) (cbrt m)) v) (/ (cbrt m) (/ 1 (- 1 m))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
874.0ms
(fma (/ 1 (/ (* (cbrt v) (cbrt v)) 1)) (/ m (/ (cbrt v) (- 1 m))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
851.0ms
(* (+ (/ m (/ v (- 1 m))) 1) (+ 1 m))
719.0ms
(fma (/ (sqrt m) (/ (* (cbrt v) (cbrt v)) 1)) (/ (sqrt m) (/ (cbrt v) (- 1 m))) (- (* (sqrt 1) (sqrt 1))))

prune5.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt m) (/ m v))
0.3b
(* (sqrt m) (/ m v))
0.1b
(- (/ m v) (* (sqrt m) (/ m v)))
0.1b
(- (/ m v) (* (sqrt m) (/ m v)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
60×times-frac
56×*-un-lft-identity
50×add-cube-cbrt
26×fma-neg associate-*r* prod-diff
14×add-cbrt-cube add-exp-log
12×associate-*l*
10×sqrt-prod
8×pow1 add-log-exp unswap-sqr
6×associate-*r/ div-inv
4×expm1-log1p-u distribute-rgt-out-- prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- sub-div
Counts
4 → 170
Calls
4 calls:
Slowest
28.0ms
(* (sqrt m) (/ m v))
24.0ms
(- (/ m v) (* (sqrt m) (/ m v)))
22.0ms
(* (sqrt m) (/ m v))
13.0ms
(- (/ m v) (* (sqrt m) (/ m v)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
107.0ms
(- (/ m v) (* (sqrt m) (/ m v)))
97.0ms
(- (/ m v) (* (sqrt m) (/ m v)))
91.0ms
(* (sqrt m) (/ m v))
80.0ms
(* (sqrt m) (/ m v))

simplify8.3s

Counts
164 → 182
Calls
164 calls:
Slowest
520.0ms
(* (* (* (sqrt m) (sqrt m)) (sqrt m)) (/ (* (* m m) m) (* (* v v) v)))
474.0ms
(* (* (* (sqrt m) (sqrt m)) (sqrt m)) (/ (* (* m m) m) (* (* v v) v)))
268.0ms
(/ (exp (/ m v)) (exp (* (sqrt m) (/ m v))))
230.0ms
(fma (/ (* (cbrt m) (cbrt m)) (* (cbrt v) (cbrt v))) (/ (cbrt m) (cbrt v)) (- (* (/ m v) (sqrt m))))
222.0ms
(fma (/ (* (cbrt m) (cbrt m)) (* (cbrt v) (cbrt v))) (/ (cbrt m) (cbrt v)) (- (* (/ m v) (sqrt m))))

prune2.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.3s13592×body80valid
546.0ms13592×pre80true