Details

Time bar (total: 11.9s)

sample35.0ms

Algorithm
intervals
Results
12.0ms336×body80valid

simplify168.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1167
2367
3797
41227
51347
61367
done1367

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.6b
(* (* y (- x z)) t)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
37.0ms
(* y (- x z))
57.0ms
(* (* y (- x z)) t)

series117.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* y (- x z))
68.0ms
(* (* y (- x z)) t)

simplify1.2s

Counts
74 → 74
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0133972
1322792
21519638
done5001610

prune295.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
7.3b
(* y (* (- x z) t))

rewrite65.0ms

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:
25.0ms
(* (- x z) t)
39.0ms
(* y (* (- x z) t))

series109.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (- x z) t)
65.0ms
(* y (* (- x z) t))

simplify586.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
081445
1195431
2804365
done5000365

prune265.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.5b
(* (cbrt y) (* (- x z) t))
4.0b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×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-*l*
6×associate-*r/
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
51.0ms
(* (cbrt y) (* (- x z) t))
136.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series832.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt y)
230.0ms
(cbrt y)
259.0ms
(* (cbrt y) (* (- x z) t))
78.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify1.3s

Counts
95 → 95
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01191089
13421046
21684747
done5000635

prune503.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

7.3b
(* y (* (- x z) t))
8.2b
(cbrt (* y (* (- x z) t)))
8.2b
(cbrt (* y (* (- x z) t)))
8.2b
(cbrt (* y (* (- x z) t)))

rewrite153.0ms

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:
63.0ms
(* y (* (- x z) t))
29.0ms
(cbrt (* y (* (- x z) t)))
37.0ms
(cbrt (* y (* (- x z) t)))
23.0ms
(cbrt (* y (* (- x z) t)))

series497.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* y (* (- x z) t))
122.0ms
(cbrt (* y (* (- x z) t)))
158.0ms
(cbrt (* y (* (- x z) t)))
166.0ms
(cbrt (* y (* (- x z) t)))

simplify2.5s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0105869
1257844
2822744
34538720
done5000720

prune443.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 0.0b

regimes660.0ms

Accuracy

56.6% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 7.3b

bsearch116.0ms

Steps
ItersRangePoint
12
3.2057298168910155e+109
9.302173780383902e+150
1.2796125811076182e+112
7
-4.325919977650215e-09
-8.7943745151695e-11
-4.079248937665295e-09

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01529
12223
done2223

end0.0ms

sample1.7s

Algorithm
intervals
Results
628.0ms10751×body80valid