Details

Time bar (total: 18.3s)

sample54.0ms

Algorithm
intervals
Results
22.0ms346×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
81978
7763
6513
5402
4272
3166
276
127
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
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×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
42.0ms
(* (* z z) (+ z 1.0))
43.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (* z z) (+ z 1.0))
87.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.3s

Counts
57 → 57
Iterations
IterNodes
done5000
23520
1389
0112

prune269.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 2 expressions with local error:

5.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.2b
(/ x (* z z))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×associate-/r/ add-log-exp
1×frac-times clear-num associate-/r* frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
51.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
12.0ms
(/ x (* z z))

series102.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
28.0ms
(/ x (* z z))

simplify2.5s

Counts
80 → 80
Iterations
IterNodes
done5000
23579
1489
0150

prune477.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
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)
80.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series936.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt x)
272.0ms
(cbrt x)
297.0ms
(cbrt x)
98.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify2.2s

Counts
100 → 100
Iterations
IterNodes
done5001
23346
1557
0161

prune428.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
86×add-cbrt-cube
52×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
13×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
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 → 101
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
364.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

series981.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt x)
265.0ms
(cbrt (cbrt x))
382.0ms
(cbrt (* (cbrt x) (cbrt x)))
89.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

simplify2.8s

Counts
113 → 113
Iterations
IterNodes
done5000
24670
1743
0218

prune584.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes567.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.0s

Algorithm
intervals
Results
525.0ms10762×body80valid