Details

Time bar (total: 8.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms330×body80valid

simplify75.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1167
2367
3737
41087
51237
61257
done1257

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z y))
7.5b
(* (- (* x y) (* z y)) t)

rewrite13.0ms

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×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
9.0ms
(* (- (* x y) (* z y)) t)

series78.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (* x y) (* z y))
46.0ms
(* (- (* x y) (* z y)) t)

simplify1.6s

Counts
46 → 46
Iterations

Useful iterations: done (1.6s)

IterNodesCost
069521
1177408
2665369
33129368
done5000367

prune105.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.5b
(* y (* (- x z) t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
9.0ms
(* (- x z) t)
12.0ms
(* y (* (- x z) t))

series70.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- x z) t)
42.0ms
(* y (* (- x z) t))

simplify1.7s

Counts
52 → 52
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
081445
1195431
2747365
33460365
done5000365

prune106.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

6.5b
(* y (* (- x z) t))
7.5b
(cbrt (* y (* (- x z) t)))
7.5b
(cbrt (* y (* (- x z) t)))
7.5b
(cbrt (* y (* (- x z) t)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/ associate-*l/
6×cbrt-div
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
15.0ms
(* y (* (- x z) t))
10.0ms
(cbrt (* y (* (- x z) t)))
10.0ms
(cbrt (* y (* (- x z) t)))
10.0ms
(cbrt (* y (* (- x z) t)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* y (* (- x z) t))
106.0ms
(cbrt (* y (* (- x z) t)))
106.0ms
(cbrt (* y (* (- x z) t)))
107.0ms
(cbrt (* y (* (- x z) t)))

simplify970.0ms

Counts
73 → 73
Iterations

Useful iterations: 3 (254.0ms)

IterNodesCost
0105869
1257844
2782744
33002720
done5000720

prune241.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

6.5b
(* y (* (- x z) t))
7.5b
(cbrt (* y (* (- x z) t)))
7.5b
(cbrt (* y (* (- x z) t)))
8.8b
(cbrt (* (- x z) t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×cbrt-div associate-*r/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
12.0ms
(* y (* (- x z) t))
10.0ms
(cbrt (* y (* (- x z) t)))
10.0ms
(cbrt (* y (* (- x z) t)))
4.0ms
(cbrt (* (- x z) t))

series382.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* y (* (- x z) t))
104.0ms
(cbrt (* y (* (- x z) t)))
105.0ms
(cbrt (* y (* (- x z) t)))
137.0ms
(cbrt (* (- x z) t))

simplify1.3s

Counts
73 → 73
Iterations

Useful iterations: 3 (365.0ms)

IterNodesCost
0150867
1353842
21064747
33987718
done5000718

prune263.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes304.0ms

Accuracy

90.4% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 6.9b

bsearch1.0ms

simplify16.0ms

Iterations

Useful iterations: 4 (5.0ms)

IterNodesCost
02379
13173
23465
34059
44658
55558
66258
76558
86658
done6658

end0.0ms

sample518.0ms

Algorithm
intervals
Results
255.0ms10673×body80valid