Details

Time bar (total: 17.5s)

sample45.0ms

Algorithm
intervals
Results
21.0ms341×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: 15.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
14.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite71.0ms

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:
39.0ms
(* (* z z) (+ z 1.0))
29.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (* z z) (+ z 1.0))
94.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.5s

Counts
61 → 61
Iterations

Useful iterations: 2 (668.0ms)

IterNodesCost
0116898
1401844
23767671
done5000671

prune141.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.3b
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
7.8b
(/ x (pow z 2))

rewrite90.0ms

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:
12.0ms
(/ y (+ z 1.0))
55.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
8.0ms
(/ x (pow z 2))

series184.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ z 1.0))
102.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
40.0ms
(/ x (pow z 2))

simplify2.6s

Counts
177 → 177
Iterations

Useful iterations: 2 (815.0ms)

IterNodesCost
02532296
17362164
242191926
done50011926

prune587.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.9b
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (/ y (+ z 1.0))))
2.6b
(* (/ x z) (/ y (+ z 1.0)))

rewrite220.0ms

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:
22.0ms
(/ y (+ z 1.0))
115.0ms
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (/ y (+ z 1.0))))
64.0ms
(* (/ x z) (/ y (+ z 1.0)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
59.0ms
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (/ y (+ z 1.0))))
71.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify623.0ms

Counts
206 → 206
Iterations

Useful iterations: done (617.0ms)

IterNodesCost
03143658
110343107
done50012411

prune701.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ z 1.0))
0.3b
(cbrt (+ z 1.0))
0.9b
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (* (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))))))
2.6b
(* (/ x z) (* (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0)))))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
1831×add-exp-log
1080×prod-exp
681×div-exp
204×add-cbrt-cube
181×rec-exp 1-exp
120×cbrt-unprod
93×pow-to-exp pow-exp
78×cbrt-undiv
38×associate-*l*
31×*-un-lft-identity
30×times-frac
27×add-sqr-sqrt add-cube-cbrt
22×frac-times associate-*r/
18×pow1
10×associate-*l/
9×unpow-prod-down pow-prod-down
8×cbrt-prod
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×sqr-pow
2×flip3-+ pow1/3 associate-*r* *-commutative flip-+ div-inv distribute-lft-out
Counts
4 → 503
Calls
4 calls:
4.0ms
(cbrt (+ z 1.0))
4.0ms
(cbrt (+ z 1.0))
1.2s
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (* (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))))))
460.0ms
(* (/ x z) (* (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0)))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (+ z 1.0))
107.0ms
(cbrt (+ z 1.0))
72.0ms
(* (/ 1 (pow z (/ 2 2))) (* (/ x z) (* (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))))))
62.0ms
(* (/ x z) (* (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0)))))

simplify1.3s

Counts
515 → 515
Iterations

Useful iterations: done (1.3s)

IterNodesCost
060617943
1235914398
done500010988

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01830
12428
22626
32826
done2826

end0.0ms

sample1.6s

Algorithm
intervals
Results
686.0ms10634×body80valid