Details

Time bar (total: 16.1s)

sample63.0ms

Algorithm
intervals
Results
33.0ms339×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27611
316811
427211
540011
651011
775211
8178511
done500111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
61.0ms
(* (* z z) (+ z 1.0))
28.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series205.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (* z z) (+ z 1.0))
120.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.0s

Counts
57 → 57
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0112858
1389794
23604634
done5001626

prune236.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.1b
(/ x (* z z))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
18.0ms
(/ y (+ z 1.0))
71.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
17.0ms
(/ x (* z z))

series149.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (+ z 1.0))
75.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
28.0ms
(/ x (* z z))

simplify2.5s

Counts
116 → 116
Iterations

Useful iterations: 2 (718.0ms)

IterNodesCost
01801501
15531420
238761238
done50001238

prune503.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
100.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series721.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt x)
198.0ms
(cbrt x)
200.0ms
(cbrt x)
124.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify1.8s

Counts
100 → 100
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01611803
15581703
232971111
done5002984

prune379.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt x)
280.0ms
(cbrt z)
223.0ms
(cbrt z)
256.0ms
(cbrt z)

simplify937.0ms

Counts
56 → 56
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
042260
177244
2211220
3659208
41936208
done5000208

prune275.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes260.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01525
11925
done1925

end0.0ms

sample1.1s

Algorithm
intervals
Results
548.0ms10746×body80valid