Details

Time bar (total: 18.9s)

sample24.0ms

Algorithm
intervals
Results
10.0ms278×body80valid

simplify92.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize8.0ms

Local error

Found 2 expressions with local error:

3.8b
(* y (+ 1.0 (* z z)))
4.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
31.0ms
(* y (+ 1.0 (* z z)))
18.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series178.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(* y (+ 1.0 (* z z)))
88.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify775.0ms

Counts
76 → 76

prune266.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
1.2b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
5.1b
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
192×times-frac
134×add-sqr-sqrt
121×cbrt-prod
110×add-cube-cbrt *-un-lft-identity
54×associate-*r*
27×add-exp-log
19×add-cbrt-cube
16×associate-/l*
12×div-inv
8×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1
4×associate-/r/ add-log-exp
3×cbrt-div associate-/r*
2×flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 219
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
3.0ms
(cbrt (/ 1.0 x))
34.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
104.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt (/ 1.0 x))
311.0ms
(cbrt (/ 1.0 x))
301.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
195.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

simplify1.5s

Counts
231 → 231

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
1.2b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
5.1b
(* (/ (* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
184×times-frac
122×add-sqr-sqrt
119×cbrt-prod
110×add-cube-cbrt *-un-lft-identity
54×associate-*r*
38×add-exp-log
25×add-cbrt-cube
16×associate-/l*
13×cbrt-undiv div-exp
12×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1
4×associate-/r/ add-log-exp unswap-sqr
3×cbrt-div associate-/r*
2×flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 219
Calls
4 calls:
7.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))
17.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
133.0ms
(* (/ (* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
402.0ms
(cbrt (/ 1.0 x))
292.0ms
(cbrt (/ 1.0 x))
295.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
296.0ms
(* (/ (* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

simplify548.0ms

Counts
231 → 231

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))) (/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z))))
0.7b
(cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))))
0.8b
(/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z)))
5.1b
(* (/ (* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x))) y) (* (cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))) (/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z)))))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
220×cbrt-prod
190×times-frac
135×add-sqr-sqrt
110×add-cube-cbrt *-un-lft-identity
65×add-exp-log
64×associate-*r*
51×cbrt-div
37×add-cbrt-cube
28×prod-exp cbrt-unprod
23×frac-times
19×associate-/l*
18×cbrt-undiv div-exp
17×associate-*r/ associate-*l/
11×pow1 associate-*l*
10×div-inv unswap-sqr
4×pow-prod-down associate-/r/ add-log-exp
3×associate-/r*
2×flip3-+ *-commutative flip-+
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 260
Calls
4 calls:
59.0ms
(* (cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))) (/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z))))
9.0ms
(cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))))
21.0ms
(/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z)))
119.0ms
(* (/ (* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x))) y) (* (cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))) (/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z)))))

series1.7s

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))) (/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z))))
734.0ms
(cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))))
473.0ms
(/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z)))
297.0ms
(* (/ (* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x))) y) (* (cbrt (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))) (/ (cbrt (cbrt (/ 1.0 x))) (+ 1.0 (* z z)))))

simplify644.0ms

Counts
272 → 272

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.4b

regimes247.0ms

Accuracy

0% (1.7b remaining)

Error of 6.7b against oracle of 5.0b and baseline of 6.7b

bsearch0.0ms

simplify4.3s

end0.0ms

sample1.3s

Algorithm
intervals
Results
873.0ms8629×body80valid