Details

Time bar (total: 12.2s)

sample25.0ms

Algorithm
intervals
Results
13.0ms336×body80valid

simplify15.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:
17.0ms
(/ (- (* x x) 3.0) 6.0)

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.2s

Counts
39 → 39
Iterations
IterNodes
done5000
34029
2651
1189
080

prune221.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

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))

rewrite123.0ms

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:
20.0ms
(/ (- x (sqrt 3.0)) 6.0)
7.0ms
(- x (sqrt 3.0))
7.0ms
(+ (sqrt 3.0) x)
83.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series464.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/ (- x (sqrt 3.0)) 6.0)
57.0ms
(- x (sqrt 3.0))
64.0ms
(+ (sqrt 3.0) x)
228.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify2.4s

Counts
162 → 162
Iterations
IterNodes
done5004
22760
1500
0196

prune618.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (+ (sqrt 3.0) x) (* (/ (/ 1 (cbrt 6.0)) (cbrt 6.0)) (/ (- x (sqrt 3.0)) (cbrt 6.0))))
1.0b
(cbrt 6.0)
1.0b
(cbrt 6.0)
1.0b
(cbrt 6.0)

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
24×add-cbrt-cube
21×prod-exp
17×div-exp
13×cbrt-unprod
10×*-un-lft-identity
9×cbrt-prod frac-times pow1 cbrt-undiv
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r/
5×associate-*l/
4×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×rec-exp 1-exp
1×associate-*r* *-commutative distribute-lft-out
Counts
4 → 85
Calls
4 calls:
190.0ms
(* (+ (sqrt 3.0) x) (* (/ (/ 1 (cbrt 6.0)) (cbrt 6.0)) (/ (- x (sqrt 3.0)) (cbrt 6.0))))
1.0ms
(cbrt 6.0)
1.0ms
(cbrt 6.0)
1.0ms
(cbrt 6.0)

series395.0ms

Counts
4 → 6
Calls
4 calls:
394.0ms
(* (+ (sqrt 3.0) x) (* (/ (/ 1 (cbrt 6.0)) (cbrt 6.0)) (/ (- x (sqrt 3.0)) (cbrt 6.0))))
0.0ms
(cbrt 6.0)
0.0ms
(cbrt 6.0)
0.0ms
(cbrt 6.0)

simplify1.2s

Counts
91 → 91
Iterations
IterNodes
done5001
22409
1437
0144

prune379.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
196×*-un-lft-identity
184×add-sqr-sqrt
104×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
29×sqrt-prod
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*
4×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u
3×fma-def fma-neg
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 241
Calls
4 calls:
7.0ms
(- x (sqrt 3.0))
11.0ms
(+ x (sqrt 3.0))
53.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
11.0ms
(/ 6.0 (- x (sqrt 3.0)))

series489.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- x (sqrt 3.0))
61.0ms
(+ x (sqrt 3.0))
289.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
67.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.6s

Counts
253 → 253
Iterations
IterNodes
done5000
24275
1780
0303

prune754.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample615.0ms

Algorithm
intervals
Results
419.0ms10659×body80valid