Details

Time bar (total: 12.3s)

sample23.0ms

Algorithm
intervals
Results
11.0ms346×body80valid

simplify28.0ms

Counts
1 → 1
Iterations
IterNodes
done23
423
321
217
112
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 36
Calls
1 calls:
36.0ms
(/ (- (* x x) 3.0) 6.0)

series130.0ms

Counts
1 → 3
Calls
1 calls:
129.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.8s

Counts
39 → 39
Iterations
IterNodes
done5002
31557
2454
1184
080

prune149.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b
(/ 6.0 (- (* x x) 3.0))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×*-un-lft-identity add-cube-cbrt
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 133
Calls
2 calls:
32.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
27.0ms
(/ 6.0 (- (* x x) 3.0))

series145.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
61.0ms
(/ 6.0 (- (* x x) 3.0))

simplify1.8s

Counts
139 → 139
Iterations
IterNodes
done5000
21649
1577
0234

prune454.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt 3.0) x)
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(- x (sqrt 3.0))
0.7b
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
61×*-un-lft-identity
41×add-cube-cbrt
37×times-frac
22×associate-*r*
20×sqrt-prod
18×prod-diff
16×difference-of-squares
11×add-cbrt-cube add-exp-log
8×distribute-lft-out-- add-log-exp
6×pow1 fma-def associate-/l*
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×associate-/r* flip3-+ fma-neg flip-+
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- distribute-lft-out unswap-sqr associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 150
Calls
4 calls:
7.0ms
(+ (sqrt 3.0) x)
24.0ms
(/ (- x (sqrt 3.0)) 6.0)
12.0ms
(- x (sqrt 3.0))
63.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series447.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (sqrt 3.0) x)
91.0ms
(/ (- x (sqrt 3.0)) 6.0)
61.0ms
(- x (sqrt 3.0))
246.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify1.8s

Counts
162 → 162
Iterations
IterNodes
done5001
21478
1498
0196

prune624.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt 3.0) x)
0.0b
(- x (sqrt 3.0))
0.1b
(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
197×*-un-lft-identity
185×add-sqr-sqrt
105×add-cube-cbrt
40×difference-of-squares
32×sqrt-prod
30×associate-/r*
26×distribute-lft-out
20×distribute-lft-out--
18×prod-diff
13×associate-/r/
11×add-cbrt-cube add-exp-log
8×add-log-exp
7×flip3-- div-inv flip-- associate-/l*
6×fma-def
4×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u
3×fma-neg
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 244
Calls
4 calls:
7.0ms
(+ (sqrt 3.0) x)
7.0ms
(- x (sqrt 3.0))
48.0ms
(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
25.0ms
(/ 6.0 (- x (sqrt 3.0)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (sqrt 3.0) x)
51.0ms
(- x (sqrt 3.0))
198.0ms
(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
97.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify2.5s

Counts
256 → 256
Iterations
IterNodes
done5001
22677
1790
0307

prune878.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample579.0ms

Algorithm
intervals
Results
411.0ms10740×body80valid