Details

Time bar (total: 8.7s)

sample76.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
15.0ms249×body80nan

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117
done500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.3b
(* z (sqrt (+ t a)))
3.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.6b
(/ (* z (sqrt (+ t a))) t)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
7.0ms
(/ 2.0 (* t 3.0))
20.0ms
(* z (sqrt (+ t a)))
35.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms
(/ (* z (sqrt (+ t a))) t)

series361.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 2.0 (* t 3.0))
68.0ms
(* z (sqrt (+ t a)))
198.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
77.0ms
(/ (* z (sqrt (+ t a))) t)

simplify38.0ms

Counts
113 → 113
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010191262
150011200
done50011200

prune585.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.0b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
63.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
47.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series725.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt t)
188.0ms
(cbrt t)
111.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
235.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify62.0ms

Counts
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513
done50013513

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
3.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
7.6b
(/ (* z (sqrt (+ t a))) t)
43.2b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod frac-sub
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×flip3-- times-frac flip--
8×frac-times associate-*r/
7×cube-div unpow-prod-down cbrt-div cube-prod associate-*r*
6×pow1 associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×sqrt-div
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate-/r* div-inv
2×cbrt-undiv div-exp associate-*l/ prod-exp associate--l+ cbrt-unprod associate-/l/ unswap-sqr
1×cube-mult frac-2neg pow1/3 diff-log unpow3 pow-prod-down clear-num *-commutative rem-cbrt-cube distribute-lft-out associate-/l* sqr-pow
Counts
4 → 110
Calls
4 calls:
22.0ms
(* z (sqrt (+ t a)))
40.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)
6.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series350.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
189.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
80.0ms
(/ (* z (sqrt (+ t a))) t)
18.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify43.0ms

Counts
122 → 122
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010661434
150021368
done50021368

prune609.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
1.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
7.6b
(/ (* z (sqrt (+ t a))) t)
43.2b
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
27×unpow-prod-down
19×add-sqr-sqrt
18×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
11×add-cbrt-cube
9×times-frac
8×pow-exp frac-sub
7×flip3-- cube-prod associate-*r* flip--
6×pow1 associate-*r/ associate--r+ add-log-exp
5×sqrt-prod
4×frac-times sqrt-div div-exp
3×distribute-rgt-in sub-neg pow-unpow distribute-lft-in associate-*l* prod-exp associate-/r* div-inv
2×cbrt-undiv pow-to-exp flip3-+ associate-*l/ associate--l+ cbrt-unprod flip-+ associate-/l/ unswap-sqr sqr-pow
1×cube-mult pow-pow frac-2neg unpow1/3 diff-log unpow3 pow-prod-down clear-num *-commutative distribute-lft-out associate-/l*
Counts
4 → 113
Calls
4 calls:
21.0ms
(* z (sqrt (+ t a)))
43.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
14.0ms
(/ (* z (sqrt (+ t a))) t)
13.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

series570.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* z (sqrt (+ t a)))
202.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
79.0ms
(/ (* z (sqrt (+ t a))) t)
227.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

simplify66.0ms

Counts
125 → 125
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010571237
150011085
done50011085

prune569.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes405.0ms

Accuracy

78.8% (3.3b remaining)

Error of 4.1b against oracle of 0.8b and baseline of 16.5b

bsearch487.0ms

Steps
ItersRangePoint
10
6.280460567769795e-119
1.2240562624491273e-104
1.2078802396926758e-104
12
-0.0003888642324493806
-6.564124040707941e-53
-2.0972644558175467e-14

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09985
19985
done9985

end0.0ms

sample1.9s

Algorithm
intervals
Results
538.0ms8000×body80valid
496.0ms7995×body80nan