Details

Time bar (total: 30.6s)

sample133.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
30.0ms242×body80nan

simplify606.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
2.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.1b
(/ (* z (sqrt (+ t a))) t)

rewrite113.0ms

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:
26.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
38.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
36.0ms
(/ (* z (sqrt (+ t a))) t)

series392.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* z (sqrt (+ t a)))
17.0ms
(/ 2.0 (* t 3.0))
219.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
89.0ms
(/ (* z (sqrt (+ t a))) t)

simplify513.0ms

Counts
113 → 113

prune853.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.9b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.1b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite176.0ms

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)
92.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
67.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt t)
270.0ms
(cbrt t)
157.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
295.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify894.0ms

Counts
181 → 181

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
2.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
5.1b
(/ (* z (sqrt (+ t a))) t)
37.5b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite122.0ms

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:
9.0ms
(/ 2.0 (* t 3.0))
70.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
28.0ms
(/ (* z (sqrt (+ t a))) t)
6.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series445.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 2.0 (* t 3.0))
285.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
112.0ms
(/ (* z (sqrt (+ t a))) t)
21.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify504.0ms

Counts
118 → 118

prune988.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
3.3b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
6.8b
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
24.0b
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
469×associate-*l/
467×associate-*r/
320×frac-sub
306×flip3-- flip--
202×frac-times
102×associate-/l/
74×add-exp-log
65×add-cbrt-cube
42×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
10×cbrt-undiv div-exp
8×distribute-rgt-in distribute-lft-in associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×sub-neg associate-*l*
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 316
Calls
4 calls:
181.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
54.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
636.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.1s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series6.6s

Counts
4 → 12
Calls
4 calls:
353.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
58.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
3.3s
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
2.9s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify2.0s

Counts
328 → 328

prune5.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes374.0ms

Accuracy

0% (1.6b remaining)

Error of 2.8b against oracle of 1.2b and baseline of 2.8b

bsearch0.0ms

simplify571.0ms

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.8s8134×body80nan
1.8s8000×body80valid