Details

Time bar (total: 14.3s)

sample29.0ms

Algorithm
intervals
Results
13.0ms361×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27811
317611
428311
541511
654911
780311
8204811
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite69.0ms

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:
32.0ms
(* (* z z) (+ z 1.0))
34.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (* z z) (+ z 1.0))
91.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.3s

Counts
61 → 61
Iterations

Useful iterations: 2 (577.0ms)

IterNodesCost
0116898
1401844
23767671
done5000671

prune168.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.2b
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
9.4b
(/ x (pow z 2))

rewrite115.0ms

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:
18.0ms
(/ y (+ z 1.0))
80.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
8.0ms
(/ x (pow z 2))

series150.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ y (+ z 1.0))
68.0ms
(* (/ x (pow z 2)) (/ y (+ z 1.0)))
24.0ms
(/ x (pow z 2))

simplify2.3s

Counts
177 → 177
Iterations

Useful iterations: 2 (832.0ms)

IterNodesCost
02532296
17362164
242191926
done50011926

prune525.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite27.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
15.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(cbrt x)

series972.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(* (cbrt x) (cbrt x))
259.0ms
(cbrt x)
255.0ms
(cbrt x)
228.0ms
(cbrt x)

simplify1.0s

Counts
93 → 93
Iterations

Useful iterations: done (1.0s)

IterNodesCost
065554
1143443
2719423
done5000409

prune300.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series894.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt x)
262.0ms
(cbrt x)
196.0ms
(cbrt x)
208.0ms
(cbrt x)

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune250.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.9b remaining)

Error of 1.2b against oracle of 0.2b and baseline of 1.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
01522
11920
22318
32518
done2518

end0.0ms

sample856.0ms

Algorithm
intervals
Results
506.0ms10753×body80valid