Details

Time bar (total: 17.3s)

sample60.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify7.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01621
13221
27121
318321
434421
559821
695121
7168821
8319121
9479221
done500021

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
3.0b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.8b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
20.0ms
(* (+ x y) z)
15.0ms
(+ (* (+ x y) z) (* (+ t y) a))
74.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
163.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series873.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ x y) z)
56.0ms
(+ (* (+ x y) z) (* (+ t y) a))
123.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
668.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify831.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (236.0ms)

IterNodesCost
01792307
15242205
221222077
done50002077

prune359.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
9.2b
(/ (* y b) (+ (+ x t) y))
21.7b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
20×add-sqr-sqrt times-frac
19×distribute-lft-out
18×add-cube-cbrt associate-*l/
13×add-exp-log flip3-+ add-cbrt-cube flip-+
10×associate-/r*
8×frac-add
6×pow1 associate-/l/ add-log-exp
4×associate-*l* associate-/r/ associate-/l*
3×cbrt-undiv div-exp associate-*r*
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv
1×+-commutative pow-prod-down sum-log *-commutative unswap-sqr
Counts
4 → 106
Calls
4 calls:
20.0ms
(* (+ x y) z)
15.0ms
(+ (* (+ x y) z) (* (+ t y) a))
39.0ms
(/ (* y b) (+ (+ x t) y))
75.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series424.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (+ x y) z)
58.0ms
(+ (* (+ x y) z) (* (+ t y) a))
86.0ms
(/ (* y b) (+ (+ x t) y))
256.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify902.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (255.0ms)

IterNodesCost
01942134
15382038
222321882
done50011882

prune375.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (+ x t) y) b)
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
8.7b
(/ y (/ (+ (+ x t) y) b))
21.7b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
147×times-frac
80×add-sqr-sqrt add-cube-cbrt
60×distribute-lft-out
27×associate-/r*
16×associate-*l/
13×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
11×associate-/l*
8×frac-add associate-/l/
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num associate-/r/
1×+-commutative sum-log
Counts
4 → 189
Calls
4 calls:
66.0ms
(/ (+ (+ x t) y) b)
14.0ms
(+ (* (+ x y) z) (* (+ t y) a))
39.0ms
(/ y (/ (+ (+ x t) y) b))
76.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series571.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (+ (+ x t) y) b)
65.0ms
(+ (* (+ x y) z) (* (+ t y) a))
199.0ms
(/ y (/ (+ (+ x t) y) b))
276.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.3s

Counts
201 → 201
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02843770
17153546
227363368
done50013366

prune602.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x t) y))
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
3.8b
(* (/ y (+ (+ x t) y)) b)
21.7b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
46×times-frac
39×add-sqr-sqrt
34×add-cube-cbrt
33×distribute-lft-out
21×associate-*l*
17×associate-*l/
13×add-exp-log flip3-+ add-cbrt-cube flip-+
10×associate-/r*
8×frac-add
6×pow1 associate-/r/ associate-/l/ associate-/l* add-log-exp
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 135
Calls
4 calls:
34.0ms
(/ y (+ (+ x t) y))
15.0ms
(+ (* (+ x y) z) (* (+ t y) a))
74.0ms
(* (/ y (+ (+ x t) y)) b)
77.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series518.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ y (+ (+ x t) y))
58.0ms
(+ (* (+ x y) z) (* (+ t y) a))
148.0ms
(* (/ y (+ (+ x t) y)) b)
250.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify741.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (266.0ms)

IterNodesCost
02082547
15622445
221572275
done50002275

prune618.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.8b

regimes441.0ms

bsearch1.0ms