Details

Time bar (total: 11.6s)

sample31.0ms

Algorithm
intervals
Results
14.0ms367×body80valid

simplify844.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite97.0ms

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:
56.0ms
(* (* z z) (+ z 1.0))
38.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (* z z) (+ z 1.0))
96.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.0s

Counts
57 → 57

prune161.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.2b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.2b
(/ x (* z z))

rewrite106.0ms

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))
77.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
13.0ms
(/ x (* z z))

series169.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ y (+ z 1.0))
87.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
30.0ms
(/ x (* z z))

simplify857.0ms

Counts
116 → 116

prune288.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite25.0ms

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:
20.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
350.0ms
(* (cbrt x) (cbrt x))
282.0ms
(cbrt x)
305.0ms
(cbrt x)
254.0ms
(cbrt x)

simplify838.0ms

Counts
85 → 85

prune233.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
6.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.8s

Counts
4 → 12
Calls
4 calls:
222.0ms
(cbrt x)
435.0ms
(cbrt (* (cbrt x) (cbrt x)))
790.0ms
(cbrt (* (cbrt x) (cbrt x)))
324.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify579.0ms

Counts
50 → 50

prune228.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

-414.7% (5.1b remaining)

Error of 5.3b against oracle of 0.3b and baseline of 1.2b

bsearch0.0ms

simplify1.5s

end0.0ms

sample1.2s

Algorithm
intervals
Results
687.0ms10729×body80valid