Details

Time bar (total: 8.3s)

sample13.0ms

Algorithm
intervals
Results
6.0ms342×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×prod-diff associate-/r*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 55
Calls
2 calls:
3.0ms
(- (* x x) 3.0)
10.0ms
(/ (- (* x x) 3.0) 6.0)

series111.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x x) 3.0)
67.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0109680
1243630
2594570
31959567
done5000566

prune118.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.2b
(* (- (* x x) 3.0) (/ 1 6.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×add-exp-log add-cube-cbrt times-frac
7×add-cbrt-cube
4×pow1 associate-*l* prod-exp add-log-exp
3×flip3-- prod-diff flip-- unswap-sqr
2×expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u difference-of-squares
1×cbrt-undiv sub-neg rec-exp fma-neg diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 62
Calls
2 calls:
3.0ms
(- (* x x) 3.0)
18.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series112.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x x) 3.0)
69.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify2.3s

Counts
68 → 68
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0129805
1301665
2799559
33137556
done5000556

prune133.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(* (* (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (cbrt (- (* x x) 3.0))) (/ 1 6.0))
0.2b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
124×cbrt-div
86×frac-times
62×flip3-- flip--
56×associate-*l/
45×add-exp-log
35×add-sqr-sqrt
28×cbrt-prod
25×prod-exp
21×add-cube-cbrt *-un-lft-identity
20×pow1 associate-*r*
19×associate-*r/
17×add-cbrt-cube
13×cbrt-unprod
9×times-frac
8×pow1/3 associate-*l* pow-prod-down
7×swap-sqr
6×div-exp difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv rec-exp 1-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus un-div-inv div-inv
Counts
4 → 184
Calls
4 calls:
3.0ms
(cbrt (- (* x x) 3.0))
3.0ms
(cbrt (- (* x x) 3.0))
161.0ms
(* (* (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (cbrt (- (* x x) 3.0))) (/ 1 6.0))
25.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

series670.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (- (* x x) 3.0))
183.0ms
(cbrt (- (* x x) 3.0))
67.0ms
(* (* (* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0))) (cbrt (- (* x x) 3.0))) (/ 1 6.0))
228.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

simplify1.1s

Counts
196 → 196
Iterations

Useful iterations: 2 (322.0ms)

IterNodesCost
03425528
18424613
224003941
done50003941

prune477.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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-exp-log add-cbrt-cube
8×distribute-lft-out-- add-log-exp
6×pow1 fma-def associate-/l*
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×flip3-+ fma-neg associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 150
Calls
4 calls:
5.0ms
(- x (sqrt 3.0))
5.0ms
(+ (sqrt 3.0) x)
16.0ms
(/ (- x (sqrt 3.0)) 6.0)
34.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

series307.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- x (sqrt 3.0))
34.0ms
(+ (sqrt 3.0) x)
69.0ms
(/ (- x (sqrt 3.0)) 6.0)
159.0ms
(* (+ (sqrt 3.0) x) (/ (- x (sqrt 3.0)) 6.0))

simplify847.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (313.0ms)

IterNodesCost
01962111
14531729
215341522
done50001522

prune275.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample311.0ms

Algorithm
intervals
Results
192.0ms10709×body80valid