Details

Time bar (total: 15.2s)

sample160.0ms

Algorithm
intervals
Results
47.0ms416×body80valid
23.0ms416×pre80true

simplify664.0ms

Counts
1 → 1
Iterations
IterNodes
done5002
4884
3141
243
119
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
13×add-cbrt-cube add-exp-log
12×associate-*r*
10×associate-*l* add-cube-cbrt
9×flip3-- flip--
8×pow1 difference-of-squares
6×associate-*r/ add-log-exp
5×sub-neg
4×distribute-rgt-in frac-times distribute-lft-in insert-posit16 distribute-lft-out--
3×associate-/r* times-frac prod-exp cbrt-unprod
2×cbrt-undiv difference-of-sqr-1 div-exp pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg diff-log div-inv associate-/l*
Counts
4 → 107
Calls
4 calls:
14.0ms
(- (/ (* m (- 1 m)) v) 1)
15.0ms
(* m (- 1 m))
16.0ms
(/ (* m (- 1 m)) v)
116.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series202.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (/ (* m (- 1 m)) v) 1)
62.0ms
(* m (- 1 m))
47.0ms
(/ (* m (- 1 m)) v)
61.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify2.2s

Counts
119 → 119
Iterations
IterNodes
done5000
23085
1466
0160

prune432.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×*-un-lft-identity
22×add-cbrt-cube add-exp-log
20×associate-*r* associate-*r/
13×pow1
12×frac-times flip3-- flip--
11×associate-*l* add-cube-cbrt
8×prod-exp cbrt-unprod difference-of-squares associate-/l/
7×flip3-+ flip-+
6×associate-*l/
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×sub-neg sqrt-prod insert-posit16 distribute-lft-out-- add-log-exp
3×cbrt-undiv associate-/r* times-frac div-exp *-commutative
2×distribute-lft-out unswap-sqr
1×clear-num frac-2neg difference-of-sqr-1 div-inv associate-/l*
Counts
4 → 132
Calls
4 calls:
49.0ms
(/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v)
15.0ms
(* m (+ 1 (sqrt m)))
163.0ms
(* (- (/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v) 1) (- 1 m))
66.0ms
(* (* m (+ 1 (sqrt m))) (- 1 (sqrt m)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v)
67.0ms
(* m (+ 1 (sqrt m)))
60.0ms
(* (- (/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v) 1) (- 1 m))
220.0ms
(* (* m (+ 1 (sqrt m))) (- 1 (sqrt m)))

simplify861.0ms

Counts
144 → 144
Iterations
IterNodes
done5001
1819
0248

prune751.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- 1 m))
0.1b
(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) (- 1 m))
0.2b
(/ (* m (- 1 m)) (sqrt v))
0.3b
(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
83×add-sqr-sqrt
66×*-un-lft-identity
63×sqrt-prod
55×add-cube-cbrt
22×add-cbrt-cube add-exp-log
16×associate-*l*
12×associate-/r* associate-*r*
11×associate-/l*
10×difference-of-squares
9×div-inv
8×pow1 flip3-- flip--
7×cbrt-undiv div-exp
6×associate-*r/
4×distribute-rgt-in frac-times sub-neg distribute-lft-in prod-exp cbrt-unprod insert-posit16 add-log-exp
3×difference-of-sqr-1 distribute-lft-out-- associate-/l/
2×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
4 → 196
Calls
4 calls:
15.0ms
(* m (- 1 m))
106.0ms
(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) (- 1 m))
31.0ms
(/ (* m (- 1 m)) (sqrt v))
29.0ms
(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

series248.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* m (- 1 m))
65.0ms
(* (- (/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v)) 1) (- 1 m))
65.0ms
(/ (* m (- 1 m)) (sqrt v))
59.0ms
(/ (/ (* m (- 1 m)) (sqrt v)) (sqrt v))

simplify2.5s

Counts
208 → 208
Iterations
IterNodes
done5000
24750
1826
0292

prune828.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* m (- 1 m)) v)
0.0b
(/ (* m (- 1 m)) v)
0.3b
(* (/ (* m (- 1 m)) v) (/ (* m (- 1 m)) v))
14.0b
(/ (* (- 1 m) (- (* (/ (* m (- 1 m)) v) (/ (* m (- 1 m)) v)) 1)) (+ (/ (* m (- 1 m)) v) 1))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
55×add-cbrt-cube add-exp-log
22×*-un-lft-identity times-frac
20×add-sqr-sqrt
18×cbrt-undiv div-exp prod-exp add-cube-cbrt cbrt-unprod
12×associate-/l/
11×pow1
10×associate-/r*
8×flip3-- flip--
7×swap-sqr associate-*r* associate-*l* associate-*r/ div-inv
5×frac-times
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*l/ associate-/l*
2×associate-/r/ distribute-lft-out
1×pow2 flip3-+ pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up flip-+ unswap-sqr
Counts
4 → 139
Calls
4 calls:
14.0ms
(/ (* m (- 1 m)) v)
14.0ms
(/ (* m (- 1 m)) v)
67.0ms
(* (/ (* m (- 1 m)) v) (/ (* m (- 1 m)) v))
99.0ms
(/ (* (- 1 m) (- (* (/ (* m (- 1 m)) v) (/ (* m (- 1 m)) v)) 1)) (+ (/ (* m (- 1 m)) v) 1))

series230.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (* m (- 1 m)) v)
41.0ms
(/ (* m (- 1 m)) v)
40.0ms
(* (/ (* m (- 1 m)) v) (/ (* m (- 1 m)) v))
96.0ms
(/ (* (- 1 m) (- (* (/ (* m (- 1 m)) v) (/ (* m (- 1 m)) v)) 1)) (+ (/ (* m (- 1 m)) v) 1))

simplify995.0ms

Counts
151 → 151
Iterations
IterNodes
done5001
1741
0195

prune667.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s13735×body80valid
647.0ms13735×pre80true