Details

Time bar (total: 7.7s)

sample32.0ms

Algorithm
intervals
Results
14.0ms391×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01315
12615
25413
38313
48813
59013
done9013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
5.8b
(* (* a z) b)

rewrite54.0ms

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:
2.0ms
(+ x (* y z))
35.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
9.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(* (* a z) b)

series174.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ x (* y z))
80.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
43.0ms
(+ (+ x (* y z)) (* t a))
28.0ms
(* (* a z) b)

simplify850.0ms

Counts
68 → 68
Iterations

Useful iterations: done (849.0ms)

IterNodesCost
0115854
1331787
21343703
done5000695

prune159.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ t (* z b))
0.0b
(+ (+ x (* y z)) (* a (+ t (* z b))))
2.0b
(* a (+ t (* z b)))

rewrite26.0ms

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-+r+ distribute-lft-in
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
2.0ms
(+ x (* y z))
2.0ms
(+ t (* z b))
13.0ms
(+ (+ x (* y z)) (* a (+ t (* z b))))
7.0ms
(* a (+ t (* z b)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ x (* y z))
30.0ms
(+ t (* z b))
86.0ms
(+ (+ x (* y z)) (* a (+ t (* z b))))
55.0ms
(* a (+ t (* z b)))

simplify783.0ms

Counts
75 → 75
Iterations

Useful iterations: done (782.0ms)

IterNodesCost
01221090
13741006
21367952
done5000934

prune212.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(* (cbrt a) (cbrt a))
0.8b
(* (cbrt a) (+ t (* z b)))
1.7b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×pow1
23×cbrt-prod
20×add-exp-log
16×add-cube-cbrt *-un-lft-identity
13×associate-*l*
11×pow-prod-down add-cbrt-cube
10×associate-*r* prod-exp cbrt-unprod
7×pow1/3
6×associate-*r/ swap-sqr unswap-sqr
5×distribute-rgt-in distribute-lft-in
4×add-log-exp
3×*-commutative
2×flip3-+ pow-sqr pow-prod-up flip-+
1×pow2 pow-plus
Counts
4 → 105
Calls
4 calls:
0.0ms
(cbrt a)
5.0ms
(* (cbrt a) (cbrt a))
8.0ms
(* (cbrt a) (+ t (* z b)))
20.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

series687.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt a)
203.0ms
(* (cbrt a) (cbrt a))
222.0ms
(* (cbrt a) (+ t (* z b)))
85.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

simplify800.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
01421301
13861105
21547916
done5000916

prune337.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (cbrt a) (cbrt a)) (* (* (cbrt (* (cbrt a) (+ t (* z b)))) (cbrt (* (cbrt a) (+ t (* z b))))) (cbrt (* (cbrt a) (+ t (* z b))))))
2.5b
(cbrt (* (cbrt a) (+ t (* z b))))
2.5b
(cbrt (* (cbrt a) (+ t (* z b))))
2.5b
(cbrt (* (cbrt a) (+ t (* z b))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
94×associate-*r/
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
25×pow1 add-exp-log
19×pow-prod-down
15×prod-exp cbrt-unprod
14×associate-*l/
11×add-cbrt-cube
8×pow1/3
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod
1×associate-*r* associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
79.0ms
(* (* (cbrt a) (cbrt a)) (* (* (cbrt (* (cbrt a) (+ t (* z b)))) (cbrt (* (cbrt a) (+ t (* z b))))) (cbrt (* (cbrt a) (+ t (* z b))))))
3.0ms
(cbrt (* (cbrt a) (+ t (* z b))))
3.0ms
(cbrt (* (cbrt a) (+ t (* z b))))
3.0ms
(cbrt (* (cbrt a) (+ t (* z b))))

series694.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (* (cbrt a) (cbrt a)) (* (* (cbrt (* (cbrt a) (+ t (* z b)))) (cbrt (* (cbrt a) (+ t (* z b))))) (cbrt (* (cbrt a) (+ t (* z b))))))
202.0ms
(cbrt (* (cbrt a) (+ t (* z b))))
203.0ms
(cbrt (* (cbrt a) (+ t (* z b))))
198.0ms
(cbrt (* (cbrt a) (+ t (* z b))))

simplify834.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
01853248
15163151
215602318
done50012318

prune411.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

39.6% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.9b

bsearch47.0ms

Steps
ItersRangePoint
7
-2.0161767902339397e+80
-4.7702391630974086e+78
-1.6703230867618247e+79

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02032
13132
done3132

end0.0ms

sample868.0ms

Algorithm
intervals
Results
450.0ms11778×body80valid