Details

Time bar (total: 18.1s)

sample164.0ms

Algorithm
intervals
Results
58.0ms256×body80valid
47.0ms301×body80nan

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210633
337333
4149733
done500133

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.3b
(/ 2.0 (* t 3.0))
2.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.1b
(/ (* z (sqrt (+ t a))) t)

rewrite395.0ms

Algorithm
rewrite-expression-head
Rules
26×frac-sub
17×flip3-- *-un-lft-identity flip--
16×add-exp-log add-sqr-sqrt frac-times add-cbrt-cube
10×add-cube-cbrt associate-*r/
7×flip3-+ flip-+
6×pow1 distribute-rgt-in distribute-lft-in times-frac associate-*r* associate--r+ add-log-exp
5×sub-neg associate-*l*
4×cbrt-undiv div-exp associate-*l/ associate--l+ associate-/r* associate-/l*
3×prod-exp cbrt-unprod distribute-lft-out--
2×frac-2neg sqrt-div clear-num div-inv associate-/l/ difference-of-squares
1×diff-log pow-prod-down *-commutative distribute-lft-out unswap-sqr
Counts
4 → 119
Calls
4 calls:
309.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
19.0ms
(/ 2.0 (* t 3.0))
45.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms
(/ (* z (sqrt (+ t a))) t)

series531.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
23.0ms
(/ 2.0 (* t 3.0))
290.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
124.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.6s

Counts
131 → 131
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
03413518
19983261
245693129
done50013129

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.2b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.5b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite221.0ms

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:
2.0ms
(cbrt t)
1.0ms
(cbrt t)
129.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
68.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt t)
296.0ms
(cbrt t)
171.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
385.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify944.0ms

Counts
181 → 181
Iterations

Useful iterations: done (928.0ms)

IterNodesCost
04866783
117176293
done50015978

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.6666666666666666 (/ c t))
1.2b
(- (+ (* 0.6666666666666666 (/ c t)) (* 0.8333333333333334 b)) (* 0.6666666666666666 (/ b t)))
1.6b
(- (/ (* z (sqrt (+ t a))) t) (- (+ (* 0.6666666666666666 (/ c t)) (* 0.8333333333333334 b)) (* 0.6666666666666666 (/ b t))))
7.1b
(/ (* z (sqrt (+ t a))) t)

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-log-exp
16×*-un-lft-identity
14×add-exp-log add-cube-cbrt add-cbrt-cube
13×times-frac associate-*r*
8×frac-sub
7×diff-log associate-*r/
6×pow1
3×cbrt-undiv sub-neg flip3-- flip3-+ div-exp associate-*l* prod-exp associate-/r* flip-- cbrt-unprod flip-+ associate--r+
2×sqrt-div associate--l+ sum-log div-inv associate-/l/ unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l* distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 95
Calls
4 calls:
24.0ms
(* 0.6666666666666666 (/ c t))
84.0ms
(- (+ (* 0.6666666666666666 (/ c t)) (* 0.8333333333333334 b)) (* 0.6666666666666666 (/ b t)))
176.0ms
(- (/ (* z (sqrt (+ t a))) t) (- (+ (* 0.6666666666666666 (/ c t)) (* 0.8333333333333334 b)) (* 0.6666666666666666 (/ b t))))
25.0ms
(/ (* z (sqrt (+ t a))) t)

series490.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 0.6666666666666666 (/ c t))
81.0ms
(- (+ (* 0.6666666666666666 (/ c t)) (* 0.8333333333333334 b)) (* 0.6666666666666666 (/ b t)))
255.0ms
(- (/ (* z (sqrt (+ t a))) t) (- (+ (* 0.6666666666666666 (/ c t)) (* 0.8333333333333334 b)) (* 0.6666666666666666 (/ b t))))
128.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.7s

Counts
107 → 107
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02472238
16832068
225031934
done50001909

prune844.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* c (+ a 0.8333333333333334))
0.0b
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
0.0b
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
1.8b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
15×associate-*r*
10×add-cbrt-cube
9×add-exp-log times-frac
8×pow1 distribute-rgt-in distribute-lft-in exp-sum
6×associate-*l* associate--l+ add-log-exp
3×sub-neg associate-/r* associate-/l*
2×flip3-+ associate-*r/ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv distribute-lft-out
Counts
4 → 92
Calls
4 calls:
21.0ms
(* c (+ a 0.8333333333333334))
23.0ms
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
57.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
29.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series406.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* c (+ a 0.8333333333333334))
171.0ms
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
114.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
70.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify3.4s

Counts
104 → 104
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01811748
14231669
211651533
341521531
done50001531

prune452.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes10.0ms