Details

Time bar (total: 9.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms348×body80valid

simplify32.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:
28.0ms
(/ (- (* x x) 3.0) 6.0)

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.6s

Counts
39 → 39
Iterations
IterNodes
done5000
34029
2651
1189
080

prune252.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (* x x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
14.0ms
(* 0.16666666666666666 (* x x))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* 0.16666666666666666 (* x x))

simplify729.0ms

Counts
24 → 24
Iterations
IterNodes
done5001
2553
199
036

prune86.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 0.16666666666666666 x) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
19.0ms
(* (* 0.16666666666666666 x) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* (* 0.16666666666666666 x) x)

simplify772.0ms

Counts
23 → 23
Iterations
IterNodes
done5001
2705
1102
038

prune105.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

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:
14.0ms
(- x (sqrt 3.0))
35.0ms
(/ (- x (sqrt 3.0)) 6.0)
7.0ms
(+ (sqrt 3.0) x)
60.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series464.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- x (sqrt 3.0))
98.0ms
(/ (- x (sqrt 3.0)) 6.0)
62.0ms
(+ (sqrt 3.0) x)
240.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify2.6s

Counts
162 → 162
Iterations
IterNodes
done5000
22794
1500
0196

prune544.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes170.0ms

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

sample687.0ms

Algorithm
intervals
Results
475.0ms10545×body80valid