Details

Time bar (total: 1.1m)

sample125.0ms

Algorithm
intervals
Results
33.0ms249×body80nan
32.0ms256×body80valid

simplify571.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.7b
(/ (* z (sqrt (+ t a))) t)

rewrite110.0ms

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:
28.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)

series608.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* z (sqrt (+ t a)))
33.0ms
(/ 2.0 (* t 3.0))
333.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
125.0ms
(/ (* z (sqrt (+ t a))) t)

simplify642.0ms

Counts
113 → 113

prune930.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
2.1b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite180.0ms

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)
2.0ms
(cbrt t)
107.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
52.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series950.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt t)
242.0ms
(cbrt t)
153.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))
272.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify777.0ms

Counts
181 → 181

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize80.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
4.8b
(* (* (* (cbrt t) (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))))
6.8b
(- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (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)))))
24.4b
(/ (- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (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)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
77×add-exp-log
57×add-cbrt-cube
45×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
16×distribute-rgt-in distribute-lft-in
10×cbrt-undiv div-exp
9×sub-neg
8×associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×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 → 459
Calls
4 calls:
46.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
562.0ms
(* (* (* (cbrt t) (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))))
699.0ms
(- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (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)))))
1.2s
(/ (- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (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)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series2.6s

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
344.0ms
(* (* (* (cbrt t) (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 (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (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 (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (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)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify1.4s

Counts
471 → 471

prune8.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
4.8b
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
6.8b
(- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
24.4b
(/ (- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite4.5s

Algorithm
rewrite-expression-head
Rules
2884×associate-*l/
2718×associate-*r/
1808×frac-sub
1608×flip3-- flip--
1588×frac-times
750×sqrt-div
681×flip3-+ flip-+
500×associate-/l/
110×sub-div
93×add-exp-log
73×add-cbrt-cube
57×prod-exp cbrt-unprod
46×pow1
30×pow-prod-down
16×distribute-rgt-in distribute-lft-in
10×cbrt-undiv div-exp
9×sub-neg
8×associate--r+
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×times-frac associate-/l*
2×associate-*r* associate-*l* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv
Counts
4 → 1192
Calls
4 calls:
147.0ms
(* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
1.1s
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
1.2s
(- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
1.5s
(/ (- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series3.0s

Counts
4 → 12
Calls
4 calls:
139.0ms
(* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
329.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
1.2s
(- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
1.3s
(/ (- (* (* z (sqrt (+ a t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify3.6s

Counts
1204 → 1204

prune25.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes300.0ms

Accuracy

30.7% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.7b

bsearch546.0ms

Steps
ItersRangePoint
8
7.484037244165379e-102
3.466602580961015e-98
2.3372638170473342e-101
9
-1.5164219444935648e-211
-2.0809018144571664e-218
-1.208395080102709e-212

simplify433.0ms

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.9s8000×body80valid
1.7s7966×body80nan