Details

Time bar (total: 19.4s)

sample18.0ms

Algorithm
intervals
Results
9.0ms380×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
91258
8482
7248
6176
5157
4150
390
235
113
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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 log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
39.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series142.0ms

Counts
1 → 3
Calls
1 calls:
142.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.8s

Counts
36 → 36
Iterations
IterNodes
done5001
21762
1236
077

prune165.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.2b
(* x (* x (- 3.0 (* x 2.0))))

rewrite81.0ms

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 log1p-expm1-u flip-- add-log-exp
1×unswap-sqr
Counts
2 → 74
Calls
2 calls:
31.0ms
(* x (- 3.0 (* x 2.0)))
46.0ms
(* x (* x (- 3.0 (* x 2.0))))

series279.0ms

Counts
2 → 6
Calls
2 calls:
137.0ms
(* x (- 3.0 (* x 2.0)))
141.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify1.9s

Counts
80 → 80
Iterations
IterNodes
done5000
21759
1338
0117

prune406.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(cbrt (- 3.0 (* x 2.0)))
0.2b
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
0.3b
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
50×pow1
42×associate-*r/
35×flip3-- flip--
34×add-exp-log
32×frac-times
27×pow-prod-down
21×add-cbrt-cube prod-exp cbrt-unprod
16×associate-*l/
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×expm1-log1p-u pow-plus pow-prod-up log1p-expm1-u add-log-exp
2×pow2 pow1/3 associate-*l* pow-sqr *-commutative
1×unswap-sqr
Counts
4 → 127
Calls
4 calls:
5.0ms
(cbrt (- 3.0 (* x 2.0)))
5.0ms
(cbrt (- 3.0 (* x 2.0)))
64.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
281.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

series723.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (- 3.0 (* x 2.0)))
173.0ms
(cbrt (- 3.0 (* x 2.0)))
257.0ms
(* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0)))))
102.0ms
(* (* (* x x) (* (cbrt (- 3.0 (* x 2.0))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (- 3.0 (* x 2.0))))

simplify4.3s

Counts
139 → 139
Iterations
IterNodes
done5000
23967
1762
0264

prune897.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 3.0 (* x 2.0)))
0.2b
(* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0)))))
0.3b
(* (/ (* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))
0.3b
(/ (* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0))))

rewrite436.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
34×cbrt-div
31×add-cbrt-cube
30×prod-exp cbrt-unprod
22×associate-*r/
18×add-sqr-sqrt pow1
16×cbrt-prod
14×*-un-lft-identity flip3-- add-cube-cbrt flip--
13×associate-*l*
12×times-frac
10×frac-times cbrt-undiv div-exp
9×pow-prod-down
8×associate-/l/
7×associate-*r*
6×associate-/r*
5×associate-*l/
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ flip-+
2×*-commutative div-inv unswap-sqr
1×clear-num frac-2neg pow1/3 associate-/l*
Counts
4 → 140
Calls
4 calls:
3.0ms
(cbrt (+ 3.0 (* x 2.0)))
97.0ms
(* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0)))))
243.0ms
(* (/ (* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))
88.0ms
(/ (* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (+ 3.0 (* x 2.0)))
275.0ms
(* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0)))))
389.0ms
(* (/ (* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))
433.0ms
(/ (* (* x x) (* (cbrt (- (* 3.0 3.0) (* (* x 2.0) (* x 2.0)))) (cbrt (- 3.0 (* x 2.0))))) (cbrt (+ 3.0 (* x 2.0))))

simplify2.3s

Counts
152 → 152
Iterations
IterNodes
done5000
11135
0405

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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
done10
110
07

end0.0ms

sample703.0ms

Algorithm
intervals
Results
509.0ms12056×body80valid