Details

Time bar (total: 4.4s)

sample37.0ms

Algorithm
intervals
Results
14.0ms397×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186
done1186

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
2.2b
(* a (+ t (* z b)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×sum-log
4×flip3-+ flip-+
3×+-commutative associate-+r+ associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
5.0ms
(+ t (* z b))
6.0ms
(+ x (* a (+ t (* z b))))
17.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
18.0ms
(* a (+ t (* z b)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ t (* z b))
68.0ms
(+ x (* a (+ t (* z b))))
92.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
55.0ms
(* a (+ t (* z b)))

simplify40.0ms

Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25001363
done5001363

prune172.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.3b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
1.4b
(* (cbrt a) (+ t (* z b)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+ unswap-sqr
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
41.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
19.0ms
(* (cbrt a) (+ t (* z b)))

series656.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt a)
171.0ms
(cbrt a)
84.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
222.0ms
(* (cbrt a) (+ t (* z b)))

simplify54.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0334575
11541439
25001392
done5001392

prune299.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))

rewrite50.0ms

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:
40.0ms
(* 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)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
109.0ms
(cbrt (+ t (* z b)))
108.0ms
(cbrt (+ t (* z b)))
145.0ms
(cbrt (+ t (* z b)))

simplify70.0ms

Counts
78 → 78
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0319672
1849616
22873583
35002574
done5002574

prune276.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
6.2b
(* (* a z) b)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
84.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(+ x (* y z))
21.0ms
(+ (+ x (* y z)) (* t a))
20.0ms
(* (* a z) b)

series187.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
29.0ms
(+ x (* y z))
48.0ms
(+ (+ x (* y z)) (* t a))
26.0ms
(* (* a z) b)

simplify53.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0335378
11670347
25002342
done5002342

prune159.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes279.0ms

Accuracy

77.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.8b

bsearch141.0ms

Steps
ItersRangePoint
8
1.2847872892765793e+300
3.637776229174097e+304
3.574603319696685e+304
9
3.568562021667732e-121
9.892651945419583e-114
1.2434969092090194e-118
4
-1.3978749575297375e+100
-7.397707139126369e+99
-1.273932173214477e+100

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
04226
14513
24813
34813
done4813

end0.0ms

sample942.0ms

Algorithm
intervals
Results
395.0ms11780×body80valid