Details

Time bar (total: 10.0s)

sample21.0ms

Algorithm
intervals
Results
7.0ms325×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3717
4977
51037
done1037

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
8.3b
(* (* y (- x z)) t)

rewrite56.0ms

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:
20.0ms
(* y (- x z))
34.0ms
(* (* y (- x z)) t)

series82.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- x z))
45.0ms
(* (* y (- x z)) t)

simplify2.3s

Counts
52 → 52
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
081452
1192428
2681366
33642366
done5000366

prune101.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
4.9b
(* y (* (- x z) t))

rewrite54.0ms

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:
21.0ms
(* (- x z) t)
31.0ms
(* y (* (- x z) t))

series74.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- x z) t)
43.0ms
(* y (* (- x z) t))

simplify1.9s

Counts
48 → 48
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
077417
1182403
2680337
33374337
done5002337

prune104.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.9b
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t))))
7.2b
(cbrt (* (- x z) t))
7.2b
(cbrt (* (- x z) t))
7.2b
(cbrt (* (- x z) t))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
74×associate-*l/
60×cbrt-div
34×associate-*r/
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×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 80
Calls
4 calls:
182.0ms
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t))))
7.0ms
(cbrt (* (- x z) t))
8.0ms
(cbrt (* (- x z) t))
8.0ms
(cbrt (* (- x z) t))

series509.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t))))
143.0ms
(cbrt (* (- x z) t))
146.0ms
(cbrt (* (- x z) t))
144.0ms
(cbrt (* (- x z) t))

simplify1.6s

Counts
92 → 92
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01801982
14261948
211021533
331541419
done50011362

prune246.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.0b
(* (* (cbrt y) (cbrt y)) (* (* (- x z) t) (cbrt y)))
3.2b
(* (* (- x z) t) (cbrt y))

rewrite150.0ms

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 associate-*l/
7×associate-*r*
4×add-log-exp
2×flip3-- pow1/3 associate-*r/ associate-*l* *-commutative flip--
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
108.0ms
(* (* (cbrt y) (cbrt y)) (* (* (- x z) t) (cbrt y)))
37.0ms
(* (* (- x z) t) (cbrt y))

series553.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt y)
170.0ms
(cbrt y)
72.0ms
(* (* (cbrt y) (cbrt y)) (* (* (- x z) t) (cbrt y)))
145.0ms
(* (* (- x z) t) (cbrt y))

simplify988.0ms

Counts
87 → 87
Iterations

Useful iterations: done (981.0ms)

IterNodesCost
01171036
1321988
21272695
done5000594

prune147.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes168.0ms

Accuracy

54.2% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 6.8b

bsearch53.0ms

Steps
ItersRangePoint
7
8.138868218818252e-67
1.4733255489592985e-64
3.7199435121416642e-65
8
-4.136589967279027e+101
-1.2890659370140747e+99
-1.3067920940806496e+99

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01931
12729
done2729

end0.0ms

sample597.0ms

Algorithm
intervals
Results
239.0ms10664×body80valid