Details

Time bar (total: 8.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms292×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (32.0ms)

IterNodesCost
067
1167
2237
3367
4437
5497
6537
7636
8666
done666

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b
(fma (/ x z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ x z) y x)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(fma (/ x z) y x)

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
018110
124107
24995
313095
443695
5169395
done500095

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
4.6b
(/ (* x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt times-frac
add-log-exp
associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 44
Calls
2 calls:
8.0ms
(+ (/ (* x y) z) x)
4.0ms
(/ (* x y) z)

series49.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (/ (* x y) z) x)
20.0ms
(/ (* x y) z)

simplify947.0ms

Counts
50 → 50
Iterations

Useful iterations: 3 (301.0ms)

IterNodesCost
071387
1176364
2545332
32509312
done5000312

prune106.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) x)
5.3b
(/ x (/ z y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
81×*-un-lft-identity
79×add-sqr-sqrt add-cube-cbrt
44×fma-def
13×associate-/r*
div-inv
add-exp-log add-cbrt-cube
add-log-exp
cbrt-undiv div-exp associate-/l*
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u
+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 130
Calls
2 calls:
35.0ms
(+ (/ x (/ z y)) x)
5.0ms
(/ x (/ z y))

series49.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (/ x (/ z y)) x)
21.0ms
(/ x (/ z y))

simplify1.9s

Counts
136 → 136
Iterations

Useful iterations: 3 (949.0ms)

IterNodesCost
01741081
1388996
21141940
34303934
done5000934

prune348.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.6b
(/ (/ z y) (cbrt x))
2.9b
(/ (* (cbrt x) (cbrt x)) (/ (/ z y) (cbrt x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
487×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
126×cbrt-prod
88×associate-/r*
30×add-exp-log
23×div-inv
18×add-cbrt-cube
15×cbrt-undiv div-exp
14×associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
prod-exp cbrt-unprod
frac-2neg pow1/3 clear-num
associate-/r/ associate-/l/
Counts
4 → 330
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
7.0ms
(/ (/ z y) (cbrt x))
25.0ms
(/ (* (cbrt x) (cbrt x)) (/ (/ z y) (cbrt x)))

series515.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
195.0ms
(cbrt x)
78.0ms
(/ (/ z y) (cbrt x))
54.0ms
(/ (* (cbrt x) (cbrt x)) (/ (/ z y) (cbrt x)))

simplify1.7s

Counts
342 → 342
Iterations

Useful iterations: 2 (856.0ms)

IterNodesCost
04705587
111915182
246894610
done50004610

prune932.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes91.0ms

Accuracy

27.5% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.1b

bsearch27.0ms

Steps
ItersRangePoint
7
-3.7205165428256016e+53
-8.95268880325176e+51
-9.080053955304944e+51

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01117
11217
done1217

end0.0ms

sample382.0ms

Algorithm
intervals
Results
199.0ms9579×body80valid