Details

Time bar (total: 18.0s)

sample17.0ms

Algorithm
intervals
Results
6.0ms291×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3739
41509
52319
63099
73799
84309
94439
104469
done4469

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
80.0ms
(* (- x (/ 16.0 116.0)) 3.0)
108.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series127.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (- x (/ 16.0 116.0)) 3.0)
60.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.4s

Counts
53 → 53
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
088576
1204568
2709480
32879480
done5000480

prune164.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×expm1-log1p-u flip3-- times-frac associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp
Counts
1 → 25
Calls
1 calls:
88.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.9s

Counts
28 → 28
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
064342
1165339
2559279
32356279
done5002279

prune81.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite20.0ms

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:
14.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt y) (cbrt y))
256.0ms
(cbrt y)
203.0ms
(cbrt y)
266.0ms
(cbrt y)

simplify5.2s

Counts
93 → 93
Iterations

Useful iterations: done (5.2s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune313.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (* (cbrt y) (cbrt y)))
0.9b
(pow (cbrt (cbrt y)) 4)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
10.0ms
(cbrt (* (cbrt y) (cbrt y)))
9.0ms
(pow (cbrt (cbrt y)) 4)

series1.3s

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt y)
255.0ms
(cbrt y)
390.0ms
(cbrt (* (cbrt y) (cbrt y)))
448.0ms
(pow (cbrt (cbrt y)) 4)

simplify3.0s

Counts
75 → 75
Iterations

Useful iterations: done (3.0s)

IterNodesCost
091509
1183467
2364408
3846397
43209394
done5000383

prune288.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample554.0ms

Algorithm
intervals
Results
267.0ms9144×body80valid