Details

Time bar (total: 11.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms377×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27611
316711
425311
531711
638411
751811
8103311
9368711
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
17.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite28.0ms

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×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 → 55
Calls
2 calls:
14.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (* z z) (+ z 1.0))
84.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
0116898
1379832
22022663
done5000663

prune140.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.5b
(/ x (* z z))

rewrite38.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
8.0ms
(/ y (+ z 1.0))
23.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series124.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ z 1.0))
57.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
26.0ms
(/ x (* z z))

simplify978.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (334.0ms)

IterNodesCost
01861549
15301460
220791271
done50001271

prune292.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
34×*-un-lft-identity
28×add-cube-cbrt
22×associate-*l*
20×cbrt-prod
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
6×pow1 unswap-sqr
4×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 107
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
26.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series761.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt x)
197.0ms
(cbrt x)
202.0ms
(cbrt x)
143.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify853.0ms

Counts
119 → 119
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
01841273
15281211
219091095
done50001095

prune413.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(* (* (cbrt y) (cbrt y)) (/ (cbrt x) z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
20.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt x) z))

series810.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt x)
207.0ms
(cbrt x)
221.0ms
(cbrt x)
156.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt x) z))

simplify1.4s

Counts
98 → 98
Iterations

Useful iterations: 2 (239.0ms)

IterNodesCost
0139899
1386852
21327753
done5001753

prune388.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
11925
done1925

end0.0ms

sample517.0ms

Algorithm
intervals
Results
299.0ms10819×body80valid