Details

Time bar (total: 16.0s)

sample39.0ms

Algorithm
intervals
Results
15.0ms328×body80valid

simplify117.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1157
2347
3717
4977
51037
done1037

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*r*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
23.0ms
(* y (- x z))
62.0ms
(* (* y (- x z)) t)

series128.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* y (- x z))
62.0ms
(* (* y (- x z)) t)

simplify3.4s

Counts
52 → 52
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
081452
1192428
2681366
33642366
done5000366

prune159.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

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×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
30.0ms
(* (- x z) t)
45.0ms
(* y (* (- x z) t))

series125.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (- x z) t)
68.0ms
(* y (* (- x z) t))

simplify3.1s

Counts
48 → 48
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
077417
1182403
2680337
33374337
done5002337

prune176.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite161.0ms

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×associate-*l/ add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt y)
37.0ms
(* (cbrt y) (* (- x z) t))
119.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series937.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt y)
311.0ms
(cbrt y)
250.0ms
(* (cbrt y) (* (- x z) t))
87.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify1.4s

Counts
87 → 87
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01131029
1299986
21194693
done5001589

prune357.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

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 1) (* (* (cbrt y) (- x z)) t)))

rewrite455.0ms

Algorithm
rewrite-expression-head
Rules
41×pow1 add-exp-log
27×pow-prod-down prod-exp cbrt-unprod
24×add-cbrt-cube
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*r* associate-*l/ add-log-exp
2×flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
49.0ms
(* (* (cbrt y) (- x z)) t)
401.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt 1) (* (* (cbrt y) (- x z)) t)))

series962.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt y)
295.0ms
(cbrt y)
278.0ms
(* (* (cbrt y) (- x z)) t)
97.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt 1) (* (* (cbrt y) (- x z)) t)))

simplify1.6s

Counts
90 → 90
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01341284
13671116
21424739
done5000613

prune284.0ms

Pruning

15 alts after pruning (11 fresh and 4 done)

Merged error: 0b

regimes482.0ms

Accuracy

48.7% (3.2b remaining)

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

bsearch115.0ms

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

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01733
12623
done2623

end0.0ms

sample1.8s

Algorithm
intervals
Results
579.0ms10641×body80valid