Details

Time bar (total: 12.0s)

sample56.0ms

Algorithm
intervals
Results
26.0ms350×body80valid

simplify96.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1157
2347
3717
4977
51037
done1037

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 2 expressions with local error:

1.2b
(- (* x y) (* z y))
7.0b
(* (- (* x y) (* z y)) t)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
15.0ms
(- (* x y) (* z y))
37.0ms
(* (- (* x y) (* z y)) t)

series126.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* x y) (* z y))
78.0ms
(* (- (* x y) (* z y)) t)

simplify2.4s

Counts
40 → 40
Iterations

Useful iterations: 3 (868.0ms)

IterNodesCost
060467
1157365
2581327
32722325
done5002325

prune110.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x z))
5.8b
(* y (* t (- x z)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
35.0ms
(* t (- x z))
34.0ms
(* y (* t (- x z)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* t (- x z))
66.0ms
(* y (* t (- x z)))

simplify2.0s

Counts
60 → 60
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
089535
1204517
2625451
33002451
done5001451

prune149.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

6.7b
(* (* y t) (- x z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
47.0ms
(* (* y t) (- x z))

series51.0ms

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

simplify2.3s

Counts
29 → 29
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
064293
1175282
2670236
32728236
done5000236

prune77.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
2.2b
(* (* (* y (- x z)) (* (cbrt t) (cbrt t))) (cbrt t))
5.1b
(* (* y (- x z)) (* (cbrt t) (cbrt t)))

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
4×associate-*r/ add-log-exp
2×flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
262.0ms
(* (* (* y (- x z)) (* (cbrt t) (cbrt t))) (cbrt t))
70.0ms
(* (* y (- x z)) (* (cbrt t) (cbrt t)))

series878.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt t)
253.0ms
(cbrt t)
97.0ms
(* (* (* y (- x z)) (* (cbrt t) (cbrt t))) (cbrt t))
237.0ms
(* (* y (- x z)) (* (cbrt t) (cbrt t)))

simplify1.3s

Counts
90 → 90
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01181184
13261132
21385757
done5000672

prune191.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

96.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.1b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02579
13279
done3279

end0.0ms

sample1.4s

Algorithm
intervals
Results
463.0ms10709×body80valid