Details

Time bar (total: 14.4s)

sample52.0ms

Algorithm
intervals
Results
24.0ms350×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27811
317611
428311
541511
654911
780311
8204811
done500111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite73.0ms

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:
40.0ms
(* (* z z) (+ z 1.0))
31.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (* z z) (+ z 1.0))
96.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.2s

Counts
61 → 61
Iterations

Useful iterations: 2 (620.0ms)

IterNodesCost
0116898
1401844
23767671
done5000671

prune128.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.0b
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
11.1b
(/ x (pow z 2))

rewrite84.0ms

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:
14.0ms
(/ y (+ z 1.0))
51.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
12.0ms
(/ x (pow z 2))

series125.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
62.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
25.0ms
(/ x (pow z 2))

simplify2.3s

Counts
177 → 177
Iterations

Useful iterations: 2 (813.0ms)

IterNodesCost
02532296
17362164
242191926
done50011926

prune498.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.7b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.8b
(* (/ x z) (/ y (+ z 1.0)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
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
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
74.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
59.0ms
(* (/ x z) (/ y (+ z 1.0)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ y (+ z 1.0))
65.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
56.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify354.0ms

Counts
164 → 164
Iterations

Useful iterations: done (350.0ms)

IterNodesCost
02632480
18462317
done50011902

prune364.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
1.8b
(* (/ y (+ z 1.0)) (/ x z))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
35×add-exp-log add-cbrt-cube
29×add-cube-cbrt
18×associate-*l*
14×cbrt-undiv div-exp
13×associate-*r*
8×prod-exp cbrt-unprod
7×associate-/r* distribute-lft-out
5×pow1
4×associate-/r/ div-inv associate-/l* unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-+
1×pow-prod-down *-commutative
Counts
3 → 124
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
29.0ms
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
39.0ms
(* (/ y (+ z 1.0)) (/ x z))

series151.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
56.0ms
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
57.0ms
(* (/ y (+ z 1.0)) (/ x z))

simplify2.5s

Counts
133 → 133
Iterations

Useful iterations: 2 (585.0ms)

IterNodesCost
02241800
16891715
246161502
done50001502

prune404.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11715
done1715

end0.0ms

sample1.5s

Algorithm
intervals
Results
928.0ms10810×body80valid