Details

Time bar (total: 13.0s)

sample78.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
21.0ms315×body80nan

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210533
333133
4128133
done500233

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.0b
(/ (* z (sqrt (+ t a))) t)

rewrite45.0ms

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:
14.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
18.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series348.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
20.0ms
(/ 2.0 (* t 3.0))
187.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
78.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03442616
110142408
242462288
done50002282

prune570.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.0b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.6b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite83.0ms

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:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
32.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
40.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series691.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt t)
179.0ms
(cbrt t)
222.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
111.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify539.0ms

Counts
181 → 181
Iterations

Useful iterations: done (531.0ms)

IterNodesCost
04866783
117386293
done50006215

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
4.0b
(/ (* z (sqrt (+ t a))) t)
40.4b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod frac-sub
14×add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×flip3-- flip--
8×frac-times
7×cube-div unpow-prod-down cbrt-div cube-prod
6×associate-*r/ associate--r+ add-log-exp
4×pow1 cbrt-undiv flip3-+ div-exp associate-/r* flip-+ div-inv associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×cube-mult pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
4 → 106
Calls
4 calls:
3.0ms
(/ 2.0 (* t 3.0))
20.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)
3.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series299.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 2.0 (* t 3.0))
184.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
82.0ms
(/ (* z (sqrt (+ t a))) t)
17.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify1.2s

Counts
118 → 118
Iterations

Useful iterations: 2 (419.0ms)

IterNodesCost
03433001
110212425
244552305
done50002305

prune613.0ms

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
(/ 2.0 (* t 3.0))
1.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
4.0b
(/ (* z (sqrt (+ t a))) t)
40.6b
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
27×unpow-prod-down
21×add-exp-log
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
12×times-frac
8×pow-exp frac-sub
7×flip3-- cube-prod flip--
6×div-exp associate--r+ add-log-exp
4×pow1 cbrt-undiv frac-times associate-*r/ associate-/r* div-inv associate-/l*
3×distribute-rgt-in sub-neg pow-unpow distribute-lft-in prod-exp
2×pow-to-exp frac-2neg sqrt-div associate-*l/ associate--l+ clear-num cbrt-unprod associate-/l/ sqr-pow
1×cube-mult pow-pow flip3-+ unpow1/3 diff-log unpow3 flip-+
Counts
4 → 109
Calls
4 calls:
3.0ms
(/ 2.0 (* t 3.0))
19.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
6.0ms
(/ (* z (sqrt (+ t a))) t)
8.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

series528.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
189.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
83.0ms
(/ (* z (sqrt (+ t a))) t)
239.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

simplify1.4s

Counts
121 → 121
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03322645
19962104
239691915
done50001912

prune575.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes453.0ms

Accuracy

71.2% (5.0b remaining)

Error of 5.6b against oracle of 0.6b and baseline of 17.9b

bsearch251.0ms

Steps
ItersRangePoint
6
1.1679697638036715e-17
9.385837479497116e-17
9.255404473728014e-17
7
-2.4816036976301974e-92
-1.5506728210043593e-93
-2.3617424863871238e-92

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
070132
194132
done94132

end0.0ms

sample1.7s

Algorithm
intervals
Results
569.0ms8000×body80valid
538.0ms7890×body80nan