Details

Time bar (total: 10.4s)

sample63.0ms

Algorithm
intervals
Results
31.0ms395×body80valid

simplify75.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01315
12615
25613
39613
412313
512713
done12713

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
5.4b
(* (* a z) b)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sum-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+l+ associate-*l* *-commutative
Counts
3 → 42
Calls
3 calls:
22.0ms
(+ (+ x (* y z)) (* t a))
10.0ms
(+ x (* y z))
17.0ms
(* (* a z) b)

series121.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ (+ x (* y z)) (* t a))
30.0ms
(+ x (* y z))
31.0ms
(* (* a z) b)

simplify899.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
093492
1269465
21508417
done5001417

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a (+ t (* z b))) (+ x (* y z)))
0.0b
(+ t (* z b))
0.0b
(+ x (* y z))
2.9b
(* a (+ t (* z b)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt flip3-+ flip-+
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r/ add-cbrt-cube
5×sum-log
4×frac-add
3×+-commutative associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
27.0ms
(+ (* a (+ t (* z b))) (+ x (* y z)))
5.0ms
(+ t (* z b))
6.0ms
(+ x (* y z))
22.0ms
(* a (+ t (* z b)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(+ (* a (+ t (* z b))) (+ x (* y z)))
28.0ms
(+ t (* z b))
31.0ms
(+ x (* y z))
86.0ms
(* a (+ t (* z b)))

simplify813.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (205.0ms)

IterNodesCost
01231096
14151018
21886960
done5000960

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
3.4b
(cbrt (+ t (* z b)))
3.4b
(cbrt (+ t (* z b)))
3.4b
(cbrt (+ t (* z b)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
47.0ms
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
3.0ms
(cbrt (+ t (* z b)))
3.0ms
(cbrt (+ t (* z b)))
3.0ms
(cbrt (+ t (* z b)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
165.0ms
(cbrt (+ t (* z b)))
160.0ms
(cbrt (+ t (* z b)))
122.0ms
(cbrt (+ t (* z b)))

simplify1.9s

Counts
78 → 78
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01241239
13221193
29421081
338881034
done5000979

prune669.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.2b
(pow (* (* a z) b) 3)
5.4b
(* (* a z) b)
27.6b
(cbrt (pow (* (* a z) b) 3))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow-unpow pow-pow associate-*r* pow-exp rem-cube-cbrt
2×cube-mult unpow-prod-down unpow3 cube-prod sqr-pow
1×+-commutative pow-to-exp flip3-+ pow1/3 associate-*l* sum-log *-commutative rem-cbrt-cube flip-+
Counts
4 → 71
Calls
4 calls:
9.0ms
(+ x (* y z))
26.0ms
(pow (* (* a z) b) 3)
24.0ms
(* (* a z) b)
7.0ms
(cbrt (pow (* (* a z) b) 3))

series256.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ x (* y z))
121.0ms
(pow (* (* a z) b) 3)
32.0ms
(* (* a z) b)
63.0ms
(cbrt (pow (* (* a z) b) 3))

simplify1.9s

Counts
83 → 83
Iterations

Useful iterations: 2 (328.0ms)

IterNodesCost
0113749
1311605
21973555
done5000555

prune318.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes237.0ms

Accuracy

56.7% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.9b

bsearch65.0ms

Steps
ItersRangePoint
4
4.055406512026812e-102
6.203726417901214e-102
4.256811503202537e-102
6
-7.752937490499535e+173
-5.900664799029819e+172
-2.1845983998877422e+173

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02351
13737
done3737

end0.0ms

sample1.5s

Algorithm
intervals
Results
719.0ms11842×body80valid