Details

Time bar (total: 15.7s)

sample140.0ms

Algorithm
intervals
Results
27.0ms438×body80valid
13.0ms438×pre80true

simplify1.4s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 3 expressions with local error:

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

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
12×add-exp-log add-cbrt-cube
10×associate-*r*
9×add-cube-cbrt
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×distribute-rgt-in frac-times sub-neg distribute-lft-in
3×times-frac prod-exp associate-/r* cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 83
Calls
3 calls:
28.0ms
(* m (- 1.0 m))
19.0ms
(/ (* m (- 1.0 m)) v)
161.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series224.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* m (- 1.0 m))
61.0ms
(/ (* m (- 1.0 m)) v)
77.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify875.0ms

Counts
92 → 92

prune255.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v)
0.0b
(* m (- (pow 1.0 3) (pow m 3)))
0.1b
(/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))
0.1b
(* (- (/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v) 1.0) (- 1.0 m))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
30×associate-*r*
28×add-cube-cbrt
22×add-exp-log add-cbrt-cube
19×difference-of-squares
12×unpow-prod-down cube-prod
10×associate-/r/ associate-/l*
9×associate-*l*
8×pow1 flip3-- flip-- sqr-pow
7×cbrt-undiv div-exp distribute-lft-out--
6×associate-*r/ associate-/r* div-inv
5×flip3-+ flip-+
4×distribute-rgt-in frac-times sub-neg distribute-lft-in prod-exp cbrt-unprod add-log-exp
3×associate-/l/
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative unswap-sqr
1×difference-cubes
Counts
4 → 162
Calls
4 calls:
112.0ms
(/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v)
127.0ms
(* m (- (pow 1.0 3) (pow m 3)))
115.0ms
(/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))
884.0ms
(* (- (/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v) 1.0) (- 1.0 m))

series726.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v)
159.0ms
(* m (- (pow 1.0 3) (pow m 3)))
290.0ms
(/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))
108.0ms
(* (- (/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v) 1.0) (- 1.0 m))

simplify2.3s

Counts
174 → 174

prune938.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
8.9b
(/ (pow m 2) v)

rewrite620.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
27×*-un-lft-identity
25×times-frac
22×add-cube-cbrt
12×unpow-prod-down
10×add-exp-log
8×associate-/l*
7×flip3-- add-cbrt-cube flip--
5×pow1 associate-*r* associate-*l* unpow2 add-log-exp
4×frac-times associate-*r/ sqr-pow
3×sub-neg div-exp associate-/r*
2×distribute-rgt-in distribute-lft-in associate-*l/ distribute-lft-out-- difference-of-squares
1×cbrt-undiv pow-to-exp distribute-rgt-out-- frac-2neg diff-log pow-prod-down pow-exp prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv sub-div unswap-sqr
Counts
3 → 98
Calls
3 calls:
20.0ms
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
585.0ms
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
10.0ms
(/ (pow m 2) v)

series156.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
72.0ms
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
23.0ms
(/ (pow m 2) v)

simplify921.0ms

Counts
107 → 107

prune420.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×add-cube-cbrt
10×associate-*r* associate-*l/
7×flip3-- flip--
6×pow1 times-frac associate-/r* add-log-exp
5×associate-*l*
4×cbrt-undiv associate-*r/ div-exp frac-add associate-/l/
3×distribute-lft-neg-in distribute-rgt-neg-in prod-exp distribute-rgt-neg-out cbrt-unprod
2×frac-2neg clear-num div-inv associate-/l*
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down sum-log *-commutative flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 94
Calls
4 calls:
64.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
33.0ms
(/ (* m (- 1.0 m)) v)
33.0ms
(/ (* m (- 1.0 m)) v)
125.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series245.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
63.0ms
(/ (* m (- 1.0 m)) v)
68.0ms
(/ (* m (- 1.0 m)) v)
55.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify1.2s

Counts
106 → 106

prune420.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify742.0ms

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.4s13707×body80valid
349.0ms13707×pre80true