Details

Time bar (total: 15.3s)

sample40.0ms

Algorithm
intervals
Results
16.0ms280×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
01011
11811
23311
36110
411610
519010
628010
737710
867110
9125710
10367910
done500010

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

3.0b
(fma (/ y (- z a)) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y (- z a)) (- z t) x)

series126.0ms

Counts
1 → 3
Calls
1 calls:
126.0ms
(fma (/ y (- z a)) (- z t) x)

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
023160
140160
292140
3271140
41283140
done5000140

prune83.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) (- z a)))
12.4b
(/ (* y (- z t)) (- z a))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ 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* unswap-sqr
Counts
3 → 94
Calls
3 calls:
49.0ms
(* y (- z t))
21.0ms
(+ x (/ (* y (- z t)) (- z a)))
48.0ms
(/ (* y (- z t)) (- z a))

series301.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* y (- z t))
114.0ms
(+ x (/ (* y (- z t)) (- z a)))
117.0ms
(/ (* y (- z t)) (- z a))

simplify1.4s

Counts
103 → 103
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01821394
14751183
220051009
done5000972

prune289.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
1.3b
(/ y (/ (- z a) (- z t)))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
198×*-un-lft-identity
196×add-sqr-sqrt
92×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 215
Calls
3 calls:
106.0ms
(+ x (/ y (/ (- z a) (- z t))))
46.0ms
(/ (- z a) (- z t))
36.0ms
(/ y (/ (- z a) (- z t)))

series466.0ms

Counts
3 → 9
Calls
3 calls:
171.0ms
(+ x (/ y (/ (- z a) (- z t))))
88.0ms
(/ (- z a) (- z t))
207.0ms
(/ y (/ (- z a) (- z t)))

simplify2.1s

Counts
224 → 224
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02983787
18173573
241173420
done50013414

prune791.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
1.3b
(* y (/ (- z t) (- z a)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
72×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
17.0ms
(+ x (* y (/ (- z t) (- z a))))
47.0ms
(/ (- z t) (- z a))
74.0ms
(* y (/ (- z t) (- z a)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(+ x (* y (/ (- z t) (- z a))))
58.0ms
(/ (- z t) (- z a))
122.0ms
(* y (/ (- z t) (- z a)))

simplify1.3s

Counts
131 → 131
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01681615
14601524
218251420
done50021414

prune525.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.6s

Algorithm
intervals
Results
581.0ms8752×body80valid
0.0ms1×body640valid