Details

Time bar (total: 13.4s)

sample117.0ms

Algorithm
intervals
Results
20.0ms337×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
1117
2127
done127

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
17.0ms
(+ x (* (* y z) z))
43.0ms
(* (* y z) z)

series176.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(+ x (* (* y z) z))
66.0ms
(* (* y z) z)

simplify1.2s

Counts
35 → 35
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
058317
1164295
2973259
done5001259

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
23.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.5s

Counts
4 → 12
Calls
4 calls:
396.0ms
(* (cbrt z) (cbrt z))
334.0ms
(cbrt z)
353.0ms
(cbrt z)
382.0ms
(cbrt z)

simplify1.7s

Counts
85 → 85
Iterations

Useful iterations: done (1.7s)

IterNodesCost
061524
1139417
2735397
done5000383

prune558.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y z) z)
0.2b
(* (sqrt (* (* y z) z)) (sqrt (* (* y z) z)))
14.4b
(sqrt (* (* y z) z))
14.4b
(sqrt (* (* y z) z))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*r*
sqrt-prod
associate-*l*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
31.0ms
(* (* y z) z)
173.0ms
(* (sqrt (* (* y z) z)) (sqrt (* (* y z) z)))
23.0ms
(sqrt (* (* y z) z))
22.0ms
(sqrt (* (* y z) z))

series399.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* y z) z)
107.0ms
(* (sqrt (* (* y z) z)) (sqrt (* (* y z) z)))
109.0ms
(sqrt (* (* y z) z))
118.0ms
(sqrt (* (* y z) z))

simplify2.1s

Counts
120 → 120
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01011152
1278806
21830716
done5001691

prune560.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (sqrt z) (* y z)) (sqrt z)))
0.1b
(* (* (sqrt z) (* y z)) (sqrt z))
0.1b
(* (sqrt z) (* y z))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
sqrt-prod
add-log-exp
*-commutative
+-commutative flip3-+ sum-log flip-+
Counts
3 → 56
Calls
3 calls:
11.0ms
(+ x (* (* (sqrt z) (* y z)) (sqrt z)))
110.0ms
(* (* (sqrt z) (* y z)) (sqrt z))
37.0ms
(* (sqrt z) (* y z))

series243.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ x (* (* (sqrt z) (* y z)) (sqrt z)))
50.0ms
(* (* (sqrt z) (* y z)) (sqrt z))
119.0ms
(* (sqrt z) (* y z))

simplify2.1s

Counts
65 → 65
Iterations

Useful iterations: 2 (386.0ms)

IterNodesCost
0114830
1332731
21839525
done5000525

prune312.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes450.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample1.2s

Algorithm
intervals
Results
570.0ms10729×body80valid