Details

Time bar (total: 10.6s)

sample78.0ms

Algorithm
intervals
Results
37.0ms360×body80valid

simplify107.0ms

Counts
1 → 1

prune13.0ms

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

rewrite70.0ms

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:
9.0ms
(+ t (* z b))
30.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
13.0ms
(+ x (* a (+ t (* z b))))
16.0ms
(* a (+ t (* z b)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ t (* z b))
137.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
82.0ms
(+ x (* a (+ t (* z b))))
83.0ms
(* a (+ t (* z b)))

simplify577.0ms

Counts
71 → 71

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.9b
(* a (* (* (cbrt (+ t (* z b))) (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)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
164.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
3.0ms
(cbrt (+ t (* z b)))
3.0ms
(cbrt (+ t (* z b)))
9.0ms
(cbrt (+ t (* z b)))

series567.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
161.0ms
(cbrt (+ t (* z b)))
148.0ms
(cbrt (+ t (* z b)))
172.0ms
(cbrt (+ t (* z b)))

simplify1.9s

Counts
98 → 98

prune560.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

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:
34.0ms
(+ (+ x (* y z)) (* t a))
109.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(+ x (* y z))
20.0ms
(* (* a z) b)

series237.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(+ (+ x (* y z)) (* t a))
102.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
36.0ms
(+ x (* y z))
38.0ms
(* (* a z) b)

simplify798.0ms

Counts
68 → 68

prune224.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* a (+ t (* z b)))))
2.9b
(* a (+ t (* z b)))
2.9b
(* a (+ t (* z b)))
2.9b
(* a (+ t (* z b)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
9×associate-*r* associate-*l*
6×associate-*r/
4×flip3-+ flip-+ add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×pow1/3
Counts
4 → 79
Calls
4 calls:
3.0ms
(cbrt (+ x (* a (+ t (* z b)))))
19.0ms
(* a (+ t (* z b)))
15.0ms
(* a (+ t (* z b)))
15.0ms
(* a (+ t (* z b)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt (+ x (* a (+ t (* z b)))))
79.0ms
(* a (+ t (* z b)))
80.0ms
(* a (+ t (* z b)))
67.0ms
(* a (+ t (* z b)))

simplify512.0ms

Counts
91 → 91

prune378.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes391.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify560.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
922.0ms11787×body80valid