Details

Time bar (total: 14.7s)

sample41.0ms

Algorithm
intervals
Results
16.0ms328×body80valid

simplify177.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1167
2367
3797
41177
51297
61317
done1317

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.9b
(* (* y (- x z)) t)

rewrite91.0ms

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:
36.0ms
(* y (- x z))
51.0ms
(* (* y (- x z)) t)

series117.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* y (- x z))
62.0ms
(* (* y (- x z)) t)

simplify2.9s

Counts
74 → 74
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0133972
1274786
2805634
34415592
done5000592

prune150.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
7.1b
(* y (* (- x z) t))

rewrite91.0ms

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:
36.0ms
(* (- x z) t)
53.0ms
(* y (* (- x z) t))

series86.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- x z) t)
54.0ms
(* y (* (- x z) t))

simplify3.2s

Counts
52 → 52
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
081445
1189431
2697365
33422365
done5000365

prune200.0ms

Pruning

15 alts after pruning (13 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)
3.0b
(* (cbrt y) (* (- x z) t))
4.3b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite221.0ms

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:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
40.0ms
(* (cbrt y) (* (- x z) t))
173.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series973.0ms

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt y)
295.0ms
(cbrt y)
277.0ms
(* (cbrt y) (* (- x z) t))
85.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify1.5s

Counts
95 → 95
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01191089
13091046
21203745
done5000635

prune344.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (* (cbrt y) (- x z)) t)
4.3b
(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) (- x z)) t))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
21×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r/
4×expm1-log1p-u associate-*r* associate-*l/ log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
61.0ms
(* (* (cbrt y) (- x z)) t)
167.0ms
(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) (- x z)) t))

series931.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt y)
250.0ms
(cbrt y)
293.0ms
(* (* (cbrt y) (- x z)) t)
91.0ms
(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) (- x z)) t))

simplify1.2s

Counts
92 → 92
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01231090
13271045
21352728
done5001613

prune243.0ms

Pruning

15 alts after pruning (11 fresh and 4 done)

Merged error: 0b

regimes347.0ms

Accuracy

48.7% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 6.3b

bsearch108.0ms

Steps
ItersRangePoint
10
6.912878945383095e+106
1.7200027918912142e+117
3.025418364347031e+108
7
-4.9029050858375904e-91
-1.7221267360896222e-92
-4.8561641122489593e-91

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01529
12223
done2223

end0.0ms

sample1.4s

Algorithm
intervals
Results
576.0ms10641×body80valid