Details

Time bar (total: 17.4s)

sample25.0ms

Algorithm
intervals
Results
12.0ms326×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
55.0ms
(/ (- (* x x) 3.0) 6.0)

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.0s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
080467
1181451
2425419
31020419
42786418
done5000418

prune143.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (/ x 6.0) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
16.0ms
(* (/ x 6.0) x)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (/ x 6.0) x)

simplify5.6s

Counts
37 → 37
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
065273
1149268
2370228
3899228
42132224
done5000224

prune89.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ x 6.0) x)
0.4b
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
17.6b
(sqrt (* (/ x 6.0) x))
17.6b
(sqrt (* (/ x 6.0) x))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×add-sqr-sqrt pow-prod-down
17×associate-*l*
16×add-cube-cbrt *-un-lft-identity
12×pow1/2
11×add-exp-log add-cbrt-cube
10×times-frac pow-prod-up
8×associate-*l/
7×associate-*r*
6×sqrt-div sqrt-prod pow-sqr
4×expm1-log1p-u swap-sqr log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod unswap-sqr
2×*-commutative
1×cbrt-undiv pow2 frac-times pow-plus sqrt-unprod associate-*r/ div-exp rem-square-sqrt div-inv
Counts
4 → 116
Calls
4 calls:
28.0ms
(* (/ x 6.0) x)
108.0ms
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
15.0ms
(sqrt (* (/ x 6.0) x))
15.0ms
(sqrt (* (/ x 6.0) x))

series270.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ x 6.0) x)
123.0ms
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
65.0ms
(sqrt (* (/ x 6.0) x))
52.0ms
(sqrt (* (/ x 6.0) x))

simplify3.4s

Counts
128 → 128
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01181192
1234866
2669761
32640731
done5001725

prune401.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b
(/ 6.0 (- (* x x) 3.0))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 133
Calls
2 calls:
46.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
30.0ms
(/ 6.0 (- (* x x) 3.0))

series193.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
99.0ms
(/ 6.0 (- (* x x) 3.0))

simplify2.6s

Counts
139 → 139
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02342311
15041986
210991780
328651728
done50001727

prune309.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample797.0ms

Algorithm
intervals
Results
508.0ms10615×body80valid