Details

Time bar (total: 21.6s)

sample26.0ms

Algorithm
intervals
Results
12.0ms325×body80valid

simplify9.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
089
1149
2289
3518
4898
51498
61988
72228
82528
93058
104338
115498
126178
136638
147928
159308
1612438
1717328
1823388
1925088
2025158
done25158

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.3b
(/ (* (- y x) z) t)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
20.0ms
(+ x (/ (* (- y x) z) t))
31.0ms
(* (- y x) z)
24.0ms
(/ (* (- y x) z) t)

series191.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (/ (* (- y x) z) t))
58.0ms
(* (- y x) z)
82.0ms
(/ (* (- y x) z) t)

simplify1.8s

Counts
75 → 75
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0116736
1296699
21032605
done5000589

prune304.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.0b
(/ (- y x) (/ t z))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
59.0ms
(+ x (/ (- y x) (/ t z)))
38.0ms
(/ (- y x) (/ t z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (/ (- y x) (/ t z)))
58.0ms
(/ (- y x) (/ t z))

simplify1.8s

Counts
127 → 127
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02211932
16031804
218801697
done50011695

prune514.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.6b
(* (- y x) (/ z t))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
14.0ms
(+ x (* (- y x) (/ z t)))
66.0ms
(* (- y x) (/ z t))

series128.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ x (* (- y x) (/ z t)))
64.0ms
(* (- y x) (/ z t))

simplify3.8s

Counts
62 → 62
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
0119705
1303661
21124603
34746576
done5000576

prune230.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.3b
(/ (* (- y x) z) t)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
10.0ms
(+ x (/ (* (- y x) z) t))
46.0ms
(* (- y x) z)
21.0ms
(/ (* (- y x) z) t)

series161.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ x (/ (* (- y x) z) t))
42.0ms
(* (- y x) z)
53.0ms
(/ (* (- y x) z) t)

simplify2.1s

Counts
75 → 75
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0116736
1296699
21032605
done5000589

prune266.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes1.0ms