Details

Time bar (total: 5.8s)

sample38.0ms

Algorithm
intervals
Results
17.0ms354×body80valid

simplify57.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.6b
(/ (* 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:
49.0ms
(* (* z z) (+ z 1.0))
40.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (* z z) (+ z 1.0))
87.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify58.0ms

Counts
57 → 57

prune130.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.8b
(/ x (* z z))

rewrite80.0ms

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:
11.0ms
(/ y (+ z 1.0))
55.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

series143.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (+ z 1.0))
73.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
32.0ms
(/ x (* z z))

simplify47.0ms

Counts
116 → 116

prune310.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
0.7b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
67×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×prod-exp cbrt-unprod
35×*-un-lft-identity
29×add-cube-cbrt associate-*l*
26×cbrt-undiv div-exp
19×associate-*r*
17×cbrt-prod
11×pow1
6×frac-times associate-*r/ unswap-sqr
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 143
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
106.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
58.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series837.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt x)
289.0ms
(cbrt x)
106.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
179.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify87.0ms

Counts
155 → 155

prune460.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt 1) (* (cbrt z) (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (+ z 1.0)))))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
310×add-exp-log
182×add-cbrt-cube
160×prod-exp cbrt-unprod
98×cbrt-undiv div-exp
17×frac-times associate-*r/
13×pow1
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l* associate-*l/
6×pow-prod-down
4×add-log-exp
3×times-frac pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 163
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
304.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt 1) (* (cbrt z) (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (+ z 1.0)))))

series788.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt z)
248.0ms
(cbrt z)
265.0ms
(cbrt z)
69.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt 1) (* (cbrt z) (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (+ z 1.0)))))

simplify72.0ms

Counts
175 → 175

prune488.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

-50.9% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify88.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
590.0ms10747×body80valid