Details

Time bar (total: 14.8s)

sample22.0ms

Algorithm
intervals
Results
12.0ms281×body80valid

simplify212.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4769
51089
61339
71489
81619
91669
done1669

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- x y) (- z y))
1.3b
(* (/ (- x y) (- z y)) t)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
41.0ms
(/ (- x y) (- z y))
76.0ms
(* (/ (- x y) (- z y)) t)

series187.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (- x y) (- z y))
127.0ms
(* (/ (- x y) (- z y)) t)

simplify2.1s

Counts
112 → 112
Iterations

Useful iterations: 2 (221.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune403.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×associate-*l*
26×times-frac
18×add-cube-cbrt
16×add-exp-log
12×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp associate-/r/ unswap-sqr
1×flip3-- associate-*r* associate-*l/ *-commutative flip-- div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
105.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt t)
314.0ms
(cbrt t)
245.0ms
(cbrt t)
312.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify3.3s

Counts
106 → 106
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01241118
13291095
2993869
34450860
done5000860

prune372.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.5b
(* (- x y) (/ t (- z y)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
21.0ms
(/ t (- z y))
80.0ms
(* (- x y) (/ t (- z y)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ t (- z y))
100.0ms
(* (- x y) (/ t (- z y)))

simplify3.6s

Counts
93 → 93
Iterations

Useful iterations: 2 (553.0ms)

IterNodesCost
01341009
1298962
21104888
34477888
done5000888

prune240.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) t)
0.6b
(/ 1 (/ (- z y) t))
10.5b
(* (- x y) (/ 1 (/ (- z y) t)))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
183×add-sqr-sqrt
171×*-un-lft-identity
117×add-cube-cbrt
62×associate-*r*
35×add-exp-log
26×distribute-lft-out-- difference-of-squares
22×associate-/r*
19×add-cbrt-cube
15×div-exp
10×div-inv
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 241
Calls
3 calls:
34.0ms
(/ (- z y) t)
31.0ms
(/ 1 (/ (- z y) t))
95.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- z y) t)
74.0ms
(/ 1 (/ (- z y) t))
116.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

simplify1.7s

Counts
250 → 250
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02963502
17082811
218262498
done50002468

prune582.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes3.0ms