Details

Time bar (total: 16.1s)

sample28.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11512
22212
done2212

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
3 → 53
Calls
3 calls:
46.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
12.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series254.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
69.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
135.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify4.2s

Counts
62 → 62
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
01181020
1288974
2770907
31876903
44789890
done5000890

prune281.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b
(/ (exp z) y)
0.1b
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b
(* 1.1283791670955126 (/ (exp z) y))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
13×add-exp-log associate-*r* add-cbrt-cube
7×pow1
6×associate-/r* associate-/l* add-log-exp
4×div-exp
3×cbrt-undiv associate-*l* div-inv
2×flip3-- frac-2neg prod-exp clear-num associate-/r/ flip-- cbrt-unprod unswap-sqr
1×sub-neg rec-exp pow-flip diff-log 1-exp associate-*r/ pow-prod-down *-commutative inv-pow
Counts
4 → 104
Calls
4 calls:
25.0ms
(- (* 1.1283791670955126 (/ (exp z) y)) x)
14.0ms
(/ (exp z) y)
48.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
24.0ms
(* 1.1283791670955126 (/ (exp z) y))

series253.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (* 1.1283791670955126 (/ (exp z) y)) x)
22.0ms
(/ (exp z) y)
107.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
38.0ms
(* 1.1283791670955126 (/ (exp z) y))

simplify2.9s

Counts
116 → 116
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01761358
13811265
29001169
322971158
done50001156

prune345.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.3b
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative sub-neg pow-flip frac-2neg flip3-+ diff-log associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 94
Calls
4 calls:
12.0ms
(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
50.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
17.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
96.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
94.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
106.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
110.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify3.4s

Counts
106 → 106
Iterations

Useful iterations: 3 (977.0ms)

IterNodesCost
01661736
14151523
210501379
329151369
done50001369

prune342.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- (* 1.1283791670955126 (exp z)) (* x y)))
0.1b
(* y (/ 1 (log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
1.8b
(log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×associate-*r*
23×*-un-lft-identity times-frac
22×add-cube-cbrt
16×log-pow
15×exp-prod
13×add-exp-log
10×pow1
9×add-cbrt-cube add-log-exp
5×log-prod
4×exp-sum prod-exp
3×sub-neg associate-*l* unswap-sqr
2×exp-diff diff-log div-exp cbrt-unprod rem-exp-log
1×cbrt-undiv log-div rec-exp flip3-- 1-exp associate-*r/ rem-log-exp pow-prod-down un-div-inv *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
60.0ms
(exp (- (* 1.1283791670955126 (exp z)) (* x y)))
137.0ms
(* y (/ 1 (log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))))
15.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
36.0ms
(log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))

series350.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(exp (- (* 1.1283791670955126 (exp z)) (* x y)))
99.0ms
(* y (/ 1 (log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))))
90.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms
(log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify2.1s

Counts
105 → 105
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01701542
13841269
28421127
319961118
done50001112

prune505.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0ms