Details

Time bar (total: 14.2s)

sample50.0ms

Algorithm
intervals
Results
20.0ms353×body80valid

simplify206.0ms

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

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

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))
74.0ms
(* (* y (- x z)) t)

series128.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* y (- x z))
71.0ms
(* (* y (- x z)) t)

simplify1.3s

Counts
74 → 74
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0133972
1322792
21519638
done5001610

prune313.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
7.2b
(* y (* (- x z) t))

rewrite92.0ms

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:
42.0ms
(* (- x z) t)
48.0ms
(* y (* (- x z) t))

series109.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- x z) t)
63.0ms
(* y (* (- x z) t))

simplify716.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
081445
1195431
2804365
done5000365

prune323.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

6.6b
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
8.4b
(cbrt (* y (- x z)))
8.4b
(cbrt (* y (- x z)))
8.4b
(cbrt (* y (- x z)))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r/
60×cbrt-div
40×associate-*l/
30×flip3-- flip--
28×frac-times
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
274.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
11.0ms
(cbrt (* y (- x z)))
13.0ms
(cbrt (* y (- x z)))
13.0ms
(cbrt (* y (- x z)))

series931.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
267.0ms
(cbrt (* y (- x z)))
267.0ms
(cbrt (* y (- x z)))
275.0ms
(cbrt (* y (- x z)))

simplify1.3s

Counts
100 → 100
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01671952
14121913
215361476
done50001366

prune794.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
6.6b
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)
8.4b
(cbrt (* y (- x z)))
8.4b
(cbrt (* y (- x z)))

rewrite546.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
58×cbrt-div
40×associate-*l/
29×flip3-- flip--
28×frac-times
22×pow1 add-exp-log
14×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 94
Calls
4 calls:
2.0ms
(cbrt y)
501.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)
15.0ms
(cbrt (* y (- x z)))
15.0ms
(cbrt (* y (- x z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
398.0ms
(cbrt y)
145.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)
310.0ms
(cbrt (* y (- x z)))
299.0ms
(cbrt (* y (- x z)))

simplify2.0s

Counts
106 → 106
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02042120
15932069
224911837
done50011782

prune1.3s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes688.0ms

Accuracy

64.4% (2.5b remaining)

Error of 2.5b against oracle of 0.1b and baseline of 7.0b

bsearch89.0ms

Steps
ItersRangePoint
8
4.364571444884917e-62
3.413367956702204e-59
2.7791553523823977e-59
5
-2.1484310826035423e-45
-9.613442420039815e-46
-1.3553932494300151e-45

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01529
12223
done2223

end0.0ms

sample1.6s

Algorithm
intervals
Results
798.0ms10688×body80valid