Details

Time bar (total: 14.3s)

sample136.0ms

Algorithm
intervals
Results
29.0ms444×body80valid
13.0ms444×pre80true

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
51604
4395
3112
240
116
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.1b
(/ (* m (- 1.0 m)) v)

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
36×prod-diff
33×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
12×add-cbrt-cube add-exp-log
10×associate-*r*
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×frac-times sub-neg
3×expm1-log1p-u associate-/r* times-frac prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg div-inv associate-/l*
Counts
3 → 125
Calls
3 calls:
37.0ms
(* m (- 1.0 m))
165.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
28.0ms
(/ (* m (- 1.0 m)) v)

series187.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* m (- 1.0 m))
50.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
60.0ms
(/ (* m (- 1.0 m)) v)

simplify1.9s

Counts
134 → 134
Iterations
IterNodes
done5000
23423
1587
0223

prune540.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (fma (/ m v) (- 1.0 m) (- 1.0)) 1.0) (- (* m (fma (/ m v) (- 1.0 m) (- 1.0)))))
0.0b
(fma (/ m v) (- 1.0 m) (- 1.0))
0.0b
(fma (/ m v) (- 1.0 m) (- 1.0))
0.2b
(* m (fma (/ m v) (- 1.0 m) (- 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-neg-in sum-log distribute-lft-in
1×neg-sub0 +-commutative associate-+r- fma-def flip3-+ unsub-neg pow-prod-down neg-log prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 62
Calls
4 calls:
13.0ms
(+ (* (fma (/ m v) (- 1.0 m) (- 1.0)) 1.0) (- (* m (fma (/ m v) (- 1.0 m) (- 1.0)))))
0.0ms
(fma (/ m v) (- 1.0 m) (- 1.0))
1.0ms
(fma (/ m v) (- 1.0 m) (- 1.0))
8.0ms
(* m (fma (/ m v) (- 1.0 m) (- 1.0)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* (fma (/ m v) (- 1.0 m) (- 1.0)) 1.0) (- (* m (fma (/ m v) (- 1.0 m) (- 1.0)))))
35.0ms
(fma (/ m v) (- 1.0 m) (- 1.0))
29.0ms
(fma (/ m v) (- 1.0 m) (- 1.0))
43.0ms
(* m (fma (/ m v) (- 1.0 m) (- 1.0)))

simplify1.0s

Counts
74 → 74
Iterations
IterNodes
done5001
21359
1280
096

prune387.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (fma (/ m v) (- 1.0 m) (- 1.0)) 1.0) (- (- (* 1.0 (- (/ (* m m) v) m)) (/ (pow m 3) v))))
0.0b
(fma (/ m v) (- 1.0 m) (- 1.0))
7.5b
(/ (pow m 3) v)
13.1b
(/ (* m m) v)

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
88×associate-+r+ distribute-neg-in
82×prod-diff
79×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×associate--l+
23×distribute-rgt-in distribute-lft-in
21×unpow-prod-down cube-prod
14×add-exp-log
13×associate-/l*
11×add-cbrt-cube add-log-exp
9×div-inv
7×cube-mult unpow3 sqr-pow
6×associate-/r*
5×div-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×cbrt-undiv sum-log sub-neg
2×clear-num frac-2neg neg-log
1×neg-sub0 pow-to-exp +-commutative associate-+r- fma-def flip3-+ diff-log unsub-neg pow-exp prod-exp cbrt-unprod flip-+ fma-udef
Counts
4 → 207
Calls
4 calls:
248.0ms
(+ (* (fma (/ m v) (- 1.0 m) (- 1.0)) 1.0) (- (- (* 1.0 (- (/ (* m m) v) m)) (/ (pow m 3) v))))
1.0ms
(fma (/ m v) (- 1.0 m) (- 1.0))
15.0ms
(/ (pow m 3) v)
13.0ms
(/ (* m m) v)

series220.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(+ (* (fma (/ m v) (- 1.0 m) (- 1.0)) 1.0) (- (- (* 1.0 (- (/ (* m m) v) m)) (/ (pow m 3) v))))
47.0ms
(fma (/ m v) (- 1.0 m) (- 1.0))
41.0ms
(/ (pow m 3) v)
41.0ms
(/ (* m m) v)

simplify633.0ms

Counts
219 → 219
Iterations
IterNodes
done5000
11445
0500

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1.0 m) v)
0.0b
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* (+ 1.0 m) v)) 1.0) (- 1.0 m))
0.0b
(* m (- (* 1.0 1.0) (* m m)))
0.1b
(/ (* m (- (* 1.0 1.0) (* m m))) (* (+ 1.0 m) v))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×*-un-lft-identity
22×add-cbrt-cube add-exp-log add-cube-cbrt
20×prod-diff
14×distribute-rgt-in distribute-lft-in
12×associate-*r* associate-*l*
10×pow1
8×flip3-- flip--
7×prod-exp cbrt-unprod
6×associate-*l/ associate-*r/
4×expm1-log1p-u frac-times cbrt-undiv sub-neg div-exp log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative difference-of-squares unswap-sqr
2×flip3-+ associate-/r/ flip-+ distribute-lft-out-- associate-/l/
1×clear-num associate-/r* frac-2neg times-frac div-inv distribute-lft-out associate-/l*
Counts
4 → 133
Calls
4 calls:
23.0ms
(* (+ 1.0 m) v)
174.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* (+ 1.0 m) v)) 1.0) (- 1.0 m))
46.0ms
(* m (- (* 1.0 1.0) (* m m)))
47.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* (+ 1.0 m) v))

series344.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (+ 1.0 m) v)
85.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* (+ 1.0 m) v)) 1.0) (- 1.0 m))
116.0ms
(* m (- (* 1.0 1.0) (* m m)))
89.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* (+ 1.0 m) v))

simplify490.0ms

Counts
145 → 145
Iterations
IterNodes
done5000
1750
0254

prune679.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done21
121
018

end0.0ms

sample2.0s

Algorithm
intervals
Results
871.0ms13788×body80valid
708.0ms13788×pre80true