Details

Time bar (total: 5.7s)

sample32.0ms

Algorithm
intervals
Results
14.0ms325×body80valid

simplify52.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite76.0ms

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:
34.0ms
(* (* z z) (+ z 1.0))
40.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (* z z) (+ z 1.0))
74.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify71.0ms

Counts
57 → 57

prune166.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.7b
(/ x (* z z))

rewrite99.0ms

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:
12.0ms
(/ y (+ z 1.0))
69.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
14.0ms
(/ x (* z z))

series123.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
62.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
26.0ms
(/ x (* z z))

simplify48.0ms

Counts
116 → 116

prune302.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
19.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series991.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (cbrt x) (cbrt x))
236.0ms
(cbrt x)
262.0ms
(cbrt x)
240.0ms
(cbrt x)

simplify39.0ms

Counts
85 → 85

prune303.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.3s

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt x)
377.0ms
(cbrt (cbrt x))
325.0ms
(cbrt (cbrt x))
340.0ms
(cbrt (cbrt x))

simplify52.0ms

Counts
65 → 65

prune327.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

-333.6% (4.8b remaining)

Error of 4.9b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify165.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
597.0ms10836×body80valid