Details

Time bar (total: 11.8s)

sample27.0ms

Algorithm
intervals
Results
14.0ms332×body80valid

simplify17.0ms

Counts
1 → 1
Iterations
IterNodes
done24
524
423
321
217
112
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* 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)

series108.0ms

Counts
1 → 3
Calls
1 calls:
108.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.6s

Counts
39 → 39
Iterations
IterNodes
done5000
34029
2651
1189
080

prune210.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×*-un-lft-identity add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ cbrt-unprod flip--
1×expm1-log1p-u cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp difference-of-squares
Counts
1 → 43
Calls
1 calls:
37.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify1.5s

Counts
46 → 46
Iterations
IterNodes
done5000
21129
1272
0103

prune185.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

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:
38.0ms
(/ (- x (sqrt 3.0)) 6.0)
14.0ms
(- x (sqrt 3.0))
15.0ms
(+ (sqrt 3.0) x)
89.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series465.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ (- x (sqrt 3.0)) 6.0)
51.0ms
(- x (sqrt 3.0))
43.0ms
(+ (sqrt 3.0) x)
250.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify2.5s

Counts
162 → 162
Iterations
IterNodes
done5004
22760
1500
0196

prune557.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
0.7b
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r*
29×add-sqr-sqrt sqrt-prod
20×*-un-lft-identity times-frac
19×add-cube-cbrt
15×sqrt-div
11×frac-times associate-*l/
9×pow1 add-cbrt-cube add-exp-log
6×flip3-- flip--
5×associate-*l*
4×pow-prod-down prod-exp associate-*r/ cbrt-unprod unswap-sqr
2×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp
1×difference-of-squares
Counts
2 → 86
Calls
2 calls:
46.0ms
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
90.0ms
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

series352.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
214.0ms
(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

simplify1.7s

Counts
92 → 92
Iterations
IterNodes
done5001
22043
1381
0149

prune437.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample619.0ms

Algorithm
intervals
Results
428.0ms10584×body80valid