Details

Time bar (total: 2.3m)

sample146.0ms

Algorithm
intervals
Results
29.0ms407×body80valid
14.0ms407×pre80true

simplify445.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
445.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
42×*-un-lft-identity
36×prod-diff
33×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
12×add-cbrt-cube associate-*r* add-exp-log
10×associate-*l*
8×flip3-- flip--
7×pow1
6×associate-*r/ difference-of-squares
4×frac-times sub-neg
3×expm1-log1p-u associate-/r* times-frac prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg difference-of-sqr-1 div-inv associate-/l*
Counts
3 → 132
Calls
3 calls:
Slowest
91.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
31.0ms
(* m (- 1 m))
17.0ms
(/ (* m (- 1 m)) v)

series179.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
71.0ms
(* m (- 1 m))
70.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
38.0ms
(/ (* m (- 1 m)) v)

simplify37.0s

Counts
193 → 141
Calls
193 calls:
Slowest
796.0ms
(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* (- 1 m) (- 1 m)) (- 1 m)))
689.0ms
(exp (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))
676.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- (* 1 1) (* m m)))
667.0ms
(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (- 1 m))
645.0ms
(* (+ (/ (* m (- 1 m)) v) 1) (+ 1 m))

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
18×prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
7×associate-*l*
6×flip3-- associate-*r* flip--
4×frac-times pow1 add-cbrt-cube add-exp-log difference-of-squares
2×expm1-log1p-u sub-neg associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
1×difference-of-sqr-1 pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 69
Calls
2 calls:
Slowest
37.0ms
(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))
0.0ms
(fma (/ m v) (- m) (/ m v))

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(fma (/ m v) (- m) (/ m v))
39.0ms
(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))

simplify31.5s

Counts
101 → 75
Calls
101 calls:
Slowest
921.0ms
(* (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt m) (sqrt m)))) (- (fma (/ m v) (- m) (/ m v)) 1))
857.0ms
(sqrt (* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m)))
842.0ms
(* (cbrt (* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))) (cbrt (* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))))
825.0ms
(expm1 (* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m)))
783.0ms
(* (- (fma (/ m v) (- m) (/ m v)) 1) (- 1 m))

prune677.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
18×associate-*l/
16×add-sqr-sqrt
14×*-un-lft-identity
13×flip3-- flip--
12×associate-*l*
10×pow1
8×frac-times add-cube-cbrt associate-/l/
7×prod-exp cbrt-unprod
4×associate-*r* pow-prod-down associate-*r/ difference-of-squares
3×expm1-log1p-u cbrt-undiv associate-/r* times-frac div-exp insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative distribute-lft-out--
1×clear-num frac-2neg div-inv associate-/l* unswap-sqr
Counts
3 → 92
Calls
3 calls:
Slowest
56.0ms
(/ (* (- 1 m) (* (- 1 m) m)) v)
42.0ms
(* (- 1 m) (* (- 1 m) m))
17.0ms
(* (- 1 m) m)

series156.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
82.0ms
(* (- 1 m) m)
39.0ms
(* (- 1 m) (* (- 1 m) m))
34.0ms
(/ (* (- 1 m) (* (- 1 m) m)) v)

simplify27.4s

Counts
108 → 101
Calls
108 calls:
Slowest
1.1s
(* v (* (+ (* 1 1) (+ (* m m) (* 1 m))) (+ 1 m)))
704.0ms
(* (cbrt (* (- 1 m) (* (- 1 m) m))) (cbrt (* (- 1 m) (* (- 1 m) m))))
682.0ms
(* (- 1 m) (* (- 1 m) m))
678.0ms
(expm1 (* (- 1 m) (* (- 1 m) m)))
649.0ms
(sqrt (* (- 1 m) (* (- 1 m) m)))

prune882.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
46×add-sqr-sqrt
32×add-cube-cbrt
31×times-frac
18×prod-diff
16×add-cbrt-cube add-exp-log
13×associate-/r*
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×pow1
8×frac-times swap-sqr difference-of-squares associate-/l/
6×cbrt-undiv div-exp associate-*r* associate-*l* distribute-lft-out--
4×associate-*l/ associate-*r/
3×prod-exp cbrt-unprod div-inv
2×expm1-log1p-u sub-neg insert-posit16 log1p-expm1-u add-log-exp
1×pow2 clear-num frac-2neg pow-plus pow-prod-down associate-/r/ pow-sqr *-commutative pow-prod-up associate-/l* unswap-sqr
Counts
2 → 126
Calls
2 calls:
Slowest
55.0ms
(* (- 1 m) (- 1 m))
45.0ms
(/ (* (- 1 m) (- 1 m)) (/ v m))

series45.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
32.0ms
(/ (* (- 1 m) (- 1 m)) (/ v m))
13.0ms
(* (- 1 m) (- 1 m))

simplify33.5s

Counts
179 → 132
Calls
179 calls:
Slowest
1.1s
(* (* (* (- 1 m) (- 1 m)) (- 1 m)) (* (* (- 1 m) (- 1 m)) (- 1 m)))
639.0ms
(* (- (pow 1 3) (pow m 3)) (- (pow 1 3) (pow m 3)))
569.0ms
(/ (* (- 1 m) (- 1 m)) (/ (sqrt v) (* (cbrt m) (cbrt m))))
546.0ms
(/ (* (- 1 m) (- 1 m)) (/ (* (cbrt v) (cbrt v)) 1))
538.0ms
(/ (* (- 1 m) (- 1 m)) (/ 1 (* (cbrt m) (cbrt m))))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

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
1.4s13757×body80valid
914.0ms13757×pre80true