Details

Time bar (total: 17.1s)

sample62.0ms

Algorithm
intervals
Results
32.0ms339×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27811
317611
428311
541511
654911
780311
8204811
done500111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite91.0ms

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:
51.0ms
(* (* z z) (+ z 1.0))
38.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series193.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (* z z) (+ z 1.0))
121.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.6s

Counts
61 → 61
Iterations

Useful iterations: 2 (645.0ms)

IterNodesCost
0116898
1401844
23767671
done5000671

prune297.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.0b
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
7.1b
(/ x (pow z 2))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
81×add-sqr-sqrt
66×*-un-lft-identity
52×add-cube-cbrt
34×add-exp-log
28×associate-*l*
23×unpow-prod-down
19×add-cbrt-cube
18×associate-*r*
14×div-exp
12×associate-/r*
10×unswap-sqr
9×unpow2 sqr-pow
8×prod-exp
7×distribute-lft-out
6×cbrt-undiv associate-/l*
5×pow1
4×associate-/r/ cbrt-unprod div-inv
3×expm1-log1p-u pow-to-exp pow-exp 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 → 168
Calls
3 calls:
20.0ms
(/ y (+ z 1.0))
103.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
16.0ms
(/ x (pow z 2))

series177.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ y (+ z 1.0))
85.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
31.0ms
(/ x (pow z 2))

simplify2.6s

Counts
177 → 177
Iterations

Useful iterations: 2 (980.0ms)

IterNodesCost
02532296
17362164
242191926
done50011926

prune881.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt x)
1.0ms
(cbrt x)
79.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series861.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt x)
214.0ms
(cbrt x)
260.0ms
(cbrt x)
111.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify2.1s

Counts
108 → 108
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01651859
15671757
233691132
done5000976

prune440.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (/ y (+ z 1.0))))
3.8b
(* (/ x z) (/ y (+ z 1.0)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
197×add-exp-log
94×prod-exp
75×div-exp
58×times-frac add-cbrt-cube
55×*-un-lft-identity
53×add-sqr-sqrt
41×add-cube-cbrt
38×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
15×pow-to-exp rec-exp 1-exp pow-exp
10×pow1
9×unpow-prod-down
7×distribute-lft-out
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp sqr-pow
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 197
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
83.0ms
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (/ y (+ z 1.0))))
44.0ms
(* (/ x z) (/ y (+ z 1.0)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ z 1.0))
65.0ms
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (/ y (+ z 1.0))))
60.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify844.0ms

Counts
206 → 206
Iterations

Useful iterations: done (838.0ms)

IterNodesCost
03143658
110343107
done50012411

prune801.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes367.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11518
done1518

end0.0ms

sample1.2s

Algorithm
intervals
Results
684.0ms10746×body80valid