Details

Time bar (total: 23.1s)

sample80.0ms

Algorithm
intervals
Results
22.0ms43×body1280valid
15.0ms49×body640valid
13.0ms161×body80valid
6.0ms31×body320valid
4.0ms92×body80nan
2.0ms17×body160valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0811
11511
2249
3519
41509
55019
620709
done50009

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
5.0b
(pow (/ x (+ x y)) x)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 178
Calls
3 calls:
11.0ms
(/ x (+ x y))
56.0ms
(/ (pow (/ x (+ x y)) x) x)
26.0ms
(pow (/ x (+ x y)) x)

series594.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ x (+ x y))
151.0ms
(/ (pow (/ x (+ x y)) x) x)
378.0ms
(pow (/ x (+ x y)) x)

simplify2.3s

Counts
187 → 187
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02822929
16642748
228842692
done50012690

prune657.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.3b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×expm1-log1p-u frac-times prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 124
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
38.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
39.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.4s

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt x)
285.0ms
(cbrt x)
381.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
422.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify2.2s

Counts
136 → 136
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03012387
19812215
231392077
done50022023

prune707.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
4.7b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
85×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
48×unpow-prod-down log-prod
12×distribute-lft-out
10×add-exp-log
6×pow1
4×expm1-log1p-u cbrt-div associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×flip3-+ pow1/3 div-exp rem-log-exp pow-exp flip-+ div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 152
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
11.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt x)
291.0ms
(cbrt x)
436.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
104.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify1.6s

Counts
164 → 164
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02802535
18082361
224942285
done50002279

prune864.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(pow (* (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (cbrt x) (cbrt (+ x y))))) x)
0.6b
(pow (cbrt (/ (cbrt x) (cbrt (+ x y)))) x)
2.3b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
65×unpow-prod-down
49×*-un-lft-identity
43×times-frac
37×add-sqr-sqrt add-cube-cbrt
21×add-exp-log
14×pow1 cbrt-div
12×pow-pow
10×associate-/r/
9×pow-unpow
8×pow1/3 pow-exp
7×flip3-+ flip-+
6×distribute-lft-out
5×prod-exp
4×expm1-log1p-u frac-times div-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp sqr-pow
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 140
Calls
4 calls:
2.0ms
(cbrt x)
53.0ms
(pow (* (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (cbrt x) (cbrt (+ x y))))) x)
47.0ms
(pow (cbrt (/ (cbrt x) (cbrt (+ x y)))) x)
39.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.5s

Counts
4 → 12
Calls
4 calls:
320.0ms
(cbrt x)
398.0ms
(pow (* (cbrt (/ (cbrt x) (cbrt (+ x y)))) (cbrt (/ (cbrt x) (cbrt (+ x y))))) x)
410.0ms
(pow (cbrt (/ (cbrt x) (cbrt (+ x y)))) x)
367.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify2.8s

Counts
152 → 152
Iterations

Useful iterations: done (2.8s)

IterNodesCost
04103010
112072765
237592513
done50012491

prune846.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

99.6% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.6b

bsearch109.0ms

Steps
ItersRangePoint
10
0.1627416724571204
4480721788545459.5
8.344763779755203
4
-1.546359190217044e+25
-8.604606439169755e+24
-1.3729826306381824e+25

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02343
13039
done3039

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.2s1588×body1280valid
1.1s1461×body640valid
475.0ms4772×body80valid
251.0ms3082×body80nan
232.0ms836×body320valid
124.0ms410×body160valid