Details

Time bar (total: 15.3s)

sample36.0ms

Algorithm
intervals
Results
18.0ms270×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12317
23717
36517
48717
510117
612517
719417
832817
959617
10129217
11369617
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.7b
(+ (* x y) (* z (- t a)))
23.7b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite590.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
439.0ms
(* z (- t a))
44.0ms
(* z (- b y))
20.0ms
(+ (* x y) (* z (- t a)))
81.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series678.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* z (- t a))
57.0ms
(* z (- b y))
61.0ms
(+ (* x y) (* z (- t a)))
514.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify866.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (207.0ms)

IterNodesCost
01691522
14021458
212921348
done50001348

prune489.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.7b
(+ (* t z) (* x y))
1.1b
(+ (+ (* t z) (* x y)) (* (- a) z))
23.7b
(/ (+ (+ (* t z) (* x y)) (* (- a) z)) (+ y (* z (- b y))))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
11×add-log-exp
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×associate-*r*
4×distribute-lft-neg-out flip3-+ sum-log flip-+
3×associate-*l* associate-/r* associate-/l*
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in div-sub associate-*r/ unsub-neg associate-/r/ associate-/l/
1×cbrt-undiv associate-+l+ flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 85
Calls
4 calls:
32.0ms
(* z (- b y))
8.0ms
(+ (* t z) (* x y))
32.0ms
(+ (+ (* t z) (* x y)) (* (- a) z))
116.0ms
(/ (+ (+ (* t z) (* x y)) (* (- a) z)) (+ y (* z (- b y))))

series649.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* z (- b y))
50.0ms
(+ (* t z) (* x y))
55.0ms
(+ (+ (* t z) (* x y)) (* (- a) z))
493.0ms
(/ (+ (+ (* t z) (* x y)) (* (- a) z)) (+ y (* z (- b y))))

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01541704
14011587
214711475
done50011351

prune458.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 19.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(/ 1 (+ y (* z (- b y))))
0.7b
(+ (* x y) (* z (- t a)))
23.4b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
46.0ms
(* z (- b y))
21.0ms
(/ 1 (+ y (* z (- b y))))
20.0ms
(+ (* x y) (* z (- t a)))
91.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* z (- b y))
125.0ms
(/ 1 (+ y (* z (- b y))))
64.0ms
(+ (* x y) (* z (- t a)))
524.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.0s

Counts
128 → 128
Iterations

Useful iterations: 2 (289.0ms)

IterNodesCost
01762024
14431842
214771656
done50001656

prune420.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 19.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.2b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.7b
(+ (* x y) (* z (- t a)))
23.7b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
45.0ms
(* z (- b y))
46.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
19.0ms
(+ (* x y) (* z (- t a)))
52.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.8s

Counts
4 → 12
Calls
4 calls:
52.0ms
(* z (- b y))
1.3s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
51.0ms
(+ (* x y) (* z (- t a)))
446.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.2s

Counts
168 → 168
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02444169
15643899
215823574
done50013548

prune486.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 19.1b

regimes5.0ms