Details

Time bar (total: 12.3s)

sample31.0ms

Algorithm
intervals
Results
12.0ms307×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4847
5927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 1 expressions with local error:

2.4b
(* x (- 1.0 (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
18.0ms
(* x (- 1.0 (* y z)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* x (- 1.0 (* y z)))

simplify3.4s

Counts
35 → 35
Iterations

Useful iterations: 3 (921.0ms)

IterNodesCost
070405
1168402
2674354
34164343
done5000343

prune71.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 1 expressions with local error:

5.1b
(* (- (* z y)) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-*l*
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
1×distribute-lft-neg-out distribute-lft-neg-in expm1-log1p-u neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
16.0ms
(* (- (* z y)) x)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (- (* z y)) x)

simplify589.0ms

Counts
27 → 27
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
043209
1105202
2697180
done5001180

prune92.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (* (* (cbrt x) (cbrt x)) (- (* z y))) (cbrt x))
4.2b
(* (* (cbrt x) (cbrt x)) (- (* z y)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
12×associate-*r*
11×add-cbrt-cube
10×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*l* *-commutative distribute-rgt-neg-out
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in unswap-sqr
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
123.0ms
(* (* (* (cbrt x) (cbrt x)) (- (* z y))) (cbrt x))
30.0ms
(* (* (cbrt x) (cbrt x)) (- (* z y)))

series795.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt x)
256.0ms
(cbrt x)
67.0ms
(* (* (* (cbrt x) (cbrt x)) (- (* z y))) (cbrt x))
201.0ms
(* (* (cbrt x) (cbrt x)) (- (* z y)))

simplify1.8s

Counts
90 → 90
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0101951
1302909
22140656
done5000587

prune342.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

4.7b
(* z (* (- y) x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×distribute-lft-neg-out expm1-log1p-u associate-*r* *-commutative distribute-rgt-neg-out log1p-expm1-u add-log-exp
Counts
1 → 21
Calls
1 calls:
40.0ms
(* z (* (- y) x))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* z (* (- y) x))

simplify3.4s

Counts
24 → 24
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
045197
1115186
2477156
33946156
done5000156

prune45.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes236.0ms

Accuracy

87.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02042
13633
24933
35333
done5333

end0.0ms

sample875.0ms

Algorithm
intervals
Results
427.0ms9580×body80valid