Details

Time bar (total: 37.6s)

sample154.0ms

Algorithm
intervals
Results
39.0ms256×body80valid
35.0ms249×body80nan

simplify862.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
41817
3373
2106
150
028

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ a t)) t)
0.3b
(/ (/ 2.0 3.0) t)
1.9b
(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ (/ 2.0 3.0) t)) (/ 5.0 6.0))))
2.5b
(* z (/ (sqrt (+ a t)) t))

rewrite612.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
91×*-un-lft-identity
85×add-sqr-sqrt
77×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
20×frac-add associate-/l*
19×associate-*r/
16×add-cbrt-cube add-exp-log
8×frac-times flip3-- flip--
7×div-inv distribute-lft-out
6×pow1 associate-/r* add-log-exp
5×cbrt-undiv flip3-+ div-exp flip-+
3×associate-*l* unswap-sqr associate-/l/
2×associate-+r+ clear-num frac-2neg sqrt-div associate-*l/ prod-exp cbrt-unprod
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down *-commutative
Counts
4 → 187
Calls
4 calls:
24.0ms
(/ (sqrt (+ a t)) t)
17.0ms
(/ (/ 2.0 3.0) t)
497.0ms
(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ (/ 2.0 3.0) t)) (/ 5.0 6.0))))
58.0ms
(* z (/ (sqrt (+ a t)) t))

series513.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ (sqrt (+ a t)) t)
34.0ms
(/ (/ 2.0 3.0) t)
266.0ms
(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (/ (/ 2.0 3.0) t)) (/ 5.0 6.0))))
140.0ms
(* z (/ (sqrt (+ a t)) t))

simplify665.0ms

Counts
199 → 199
Iterations
IterNodes
done5000
11356
0469

prune2.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize105.0ms

Local error

Found 4 expressions with local error:

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

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-add
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
24×flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×flip3-+ flip-+ unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out add-log-exp
2×associate-+r+ pow1/3 div-inv
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down *-commutative
Counts
4 → 164
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
165.0ms
(+ (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))) (* (- c b) (+ (- a (/ (/ 2.0 3.0) t)) (/ 5.0 6.0))))
81.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

series976.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt t)
239.0ms
(cbrt t)
343.0ms
(+ (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))) (* (- c b) (+ (- a (/ (/ 2.0 3.0) t)) (/ 5.0 6.0))))
147.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

simplify826.0ms

Counts
176 → 176
Iterations
IterNodes
done5000
11819
0483

prune2.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 2.0 3.0) t)
2.5b
(* z (/ (sqrt (+ a t)) t))
3.3b
(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (log (exp (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0))))
3.6b
(log (exp (/ (/ 2.0 3.0) t)))

rewrite409.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
105×add-sqr-sqrt
103×*-un-lft-identity
97×add-cube-cbrt
44×log-pow
43×exp-prod
25×associate-*r*
20×frac-add
19×associate-*r/
14×add-cbrt-cube add-exp-log
13×sqrt-prod associate-/l*
10×div-inv
8×frac-times flip3-- flip--
7×pow1
6×add-log-exp
4×cbrt-undiv flip3-+ div-exp flip-+
3×log-prod associate-/r* associate-*l* distribute-lft-out unswap-sqr
2×associate-+r+ associate-*l/ prod-exp cbrt-unprod
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in rem-log-exp pow-prod-down *-commutative associate-/l/
Counts
4 → 197
Calls
4 calls:
14.0ms
(/ (/ 2.0 3.0) t)
25.0ms
(* z (/ (sqrt (+ a t)) t))
330.0ms
(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (log (exp (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0))))
24.0ms
(log (exp (/ (/ 2.0 3.0) t)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (/ 2.0 3.0) t)
129.0ms
(* z (/ (sqrt (+ a t)) t))
286.0ms
(+ (* z (/ (sqrt (+ a t)) t)) (* (- c b) (+ (- a (log (exp (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0))))
39.0ms
(log (exp (/ (/ 2.0 3.0) t)))

simplify715.0ms

Counts
209 → 209
Iterations
IterNodes
done5000
11378
0524

prune2.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize131.0ms

Local error

Found 4 expressions with local error:

4.0b
(- (* c c) (* b b))
7.9b
(+ (* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b))) (* (* (cbrt t) (- (* c c) (* b b))) (- a (- (/ (/ 2.0 3.0) t) (/ 5.0 6.0)))))
9.3b
(* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b)))
14.8b
(/ (+ (* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b))) (* (* (cbrt t) (- (* c c) (* b b))) (- a (- (/ (/ 2.0 3.0) t) (/ 5.0 6.0))))) (* (+ c b) (cbrt t)))

rewrite487.0ms

Algorithm
rewrite-expression-head
Rules
476×associate-*r/
408×frac-times
272×frac-add
207×flip3-+ flip-+
205×flip3-- flip--
204×sqrt-div
155×associate-*l/
138×associate-/l/
30×add-exp-log
25×add-cbrt-cube
12×prod-exp cbrt-unprod
11×distribute-rgt-in distribute-lft-in
9×pow1
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
7×associate-*l*
6×cbrt-undiv associate-+r+ times-frac div-exp
4×associate-+l+
3×sub-neg pow-prod-down associate-/l*
2×associate-/r/ div-inv associate--r-
1×+-commutative clear-num associate-/r* sum-log frac-2neg diff-log associate-*r* *-commutative difference-of-squares
Counts
4 → 382
Calls
4 calls:
6.0ms
(- (* c c) (* b b))
85.0ms
(+ (* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b))) (* (* (cbrt t) (- (* c c) (* b b))) (- a (- (/ (/ 2.0 3.0) t) (/ 5.0 6.0)))))
87.0ms
(* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b)))
245.0ms
(/ (+ (* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b))) (* (* (cbrt t) (- (* c c) (* b b))) (- a (- (/ (/ 2.0 3.0) t) (/ 5.0 6.0))))) (* (+ c b) (cbrt t)))

series6.7s

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* c c) (* b b))
3.6s
(+ (* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b))) (* (* (cbrt t) (- (* c c) (* b b))) (- a (- (/ (/ 2.0 3.0) t) (/ 5.0 6.0)))))
733.0ms
(* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b)))
2.3s
(/ (+ (* (/ z (* (cbrt t) (cbrt t))) (* (sqrt (+ t a)) (+ c b))) (* (* (cbrt t) (- (* c c) (* b b))) (- a (- (/ (/ 2.0 3.0) t) (/ 5.0 6.0))))) (* (+ c b) (cbrt t)))

simplify1.7s

Counts
394 → 394
Iterations
IterNodes
done5001
14567
01041

prune9.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.5b

regimes838.0ms

Accuracy

0% (2.4b remaining)

Error of 2.8b against oracle of 0.4b and baseline of 2.8b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done39
139
031

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.8s8055×body80nan
1.6s8000×body80valid