Details

Time bar (total: 28.7s)

sample42.0ms

Algorithm
intervals
Results
15.0ms241×body80valid
3.0ms13×body640valid
2.0ms12×body320valid
2.0ms14×body160valid
1.0ms5×body1280valid
1.0ms2×body2560valid

simplify16.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
12013
24513
311113
428813
563313
6118913
7204813
8287213
9339613
10362913
11389913
12418913
done500113

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
4.0b
(+ x (/ (* (- y x) (- z t)) (- a t)))
18.0b
(/ (* (- y x) (- z t)) (- a t))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
49.0ms
(* (- y x) (- z t))
32.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
74.0ms
(/ (* (- y x) (- z t)) (- a t))

series567.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (- y x) (- z t))
310.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
203.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify1.5s

Counts
90 → 90
Iterations

Useful iterations: 2 (334.0ms)

IterNodesCost
01621284
14681213
219911111
done50001111

prune414.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.4b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.6b
(* (- y x) (/ (- z t) (- a t)))
4.0b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
32.0ms
(/ (- z t) (- a t))
119.0ms
(* (- y x) (/ (- z t) (- a t)))
24.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series554.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(/ (- z t) (- a t))
184.0ms
(* (- y x) (/ (- z t) (- a t)))
276.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.2s

Counts
128 → 128
Iterations

Useful iterations: 2 (327.0ms)

IterNodesCost
01831813
14721704
217481606
done50011606

prune488.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
2.6b
(* (- y x) (* (- z t) (/ 1 (- a t))))
5.0b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite620.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
12.0ms
(/ 1 (- a t))
459.0ms
(* (- z t) (/ 1 (- a t)))
121.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
22.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ 1 (- a t))
72.0ms
(* (- z t) (/ 1 (- a t)))
173.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
235.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify1.3s

Counts
158 → 158
Iterations

Useful iterations: 2 (432.0ms)

IterNodesCost
02212286
15641896
221141716
done50021716

prune542.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
3.0b
(/ (- y x) (/ (- a t) (- z t)))
4.0b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
25.0ms
(/ (- a t) (- z t))
52.0ms
(/ (- y x) (/ (- a t) (- z t)))
110.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series709.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (- a t) (- z t))
293.0ms
(/ (- y x) (/ (- a t) (- z t)))
326.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify1.9s

Counts
283 → 283
Iterations

Useful iterations: 2 (703.0ms)

IterNodesCost
03545984
110105625
236495487
done50015487

prune956.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.4b

regimes366.0ms

bsearch1.0ms