Details

Time bar (total: 15.0s)

sample36.0ms

Algorithm
intervals
Results
26.0ms376×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5001
111127
10442
9263
8200
7171
6154
5144
4137
388
234
113
07

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube prod-diff add-exp-log
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×*-un-lft-identity add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 34
Calls
1 calls:
26.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify2.7s

Counts
37 → 37
Iterations
IterNodes
done5000
33864
2829
1229
078

prune90.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.1b
(* x (* x (- 3.0 (* x 2.0))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×prod-diff
13×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×pow1 add-cbrt-cube add-exp-log
6×sub-neg associate-*l* associate-*r/
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
1×unswap-sqr
Counts
2 → 76
Calls
2 calls:
19.0ms
(* x (- 3.0 (* x 2.0)))
35.0ms
(* x (* x (- 3.0 (* x 2.0))))

series184.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* x (- 3.0 (* x 2.0)))
88.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.1s

Counts
82 → 82
Iterations
IterNodes
done5003
21011
1310
0119

prune228.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x)
0.1b
(* x (/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))))
0.3b
(/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
31×add-cbrt-cube add-exp-log
20×associate-*l/
13×prod-exp cbrt-unprod
12×associate-*r*
11×add-sqr-sqrt
10×pow1
9×*-un-lft-identity add-cube-cbrt
8×frac-times flip3-+ flip-+ associate-/l/
6×cbrt-undiv times-frac flip3-- div-exp flip--
5×associate-*r/
4×associate-*l* pow-prod-down associate-/r/
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative div-inv
1×clear-num frac-2neg associate-/l* unswap-sqr
Counts
3 → 99
Calls
3 calls:
47.0ms
(* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x)
78.0ms
(* x (/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))))
52.0ms
(/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

series457.0ms

Counts
3 → 9
Calls
3 calls:
236.0ms
(* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x)
114.0ms
(* x (/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))))
107.0ms
(/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

simplify1.9s

Counts
108 → 108
Iterations
IterNodes
done5147
22661
1521
0164

prune326.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
22.0b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
22.0b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
22.0b
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 84
Calls
4 calls:
38.0ms
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
13.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
13.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
18.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(* (cbrt (* x (* x (- 3.0 (* x 2.0))))) (cbrt (* x (* x (- 3.0 (* x 2.0))))))
160.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
164.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))
157.0ms
(cbrt (* x (* x (- 3.0 (* x 2.0)))))

simplify2.6s

Counts
96 → 96
Iterations
IterNodes
done5000
34526
21341
1497
0197

prune425.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample969.0ms

Algorithm
intervals
Results
776.0ms11783×body80valid