Details

Time bar (total: 19.9s)

sample31.0ms

Algorithm
intervals
Results
17.0ms319×body80valid

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
done5001
133507
122216
111438
10920
9609
8462
7317
6187
5122
479
349
226
114
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u associate-/r* fma-def times-frac associate-*r* insert-posit16 log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 69
Calls
3 calls:
13.0ms
(+ x (/ (* (- y x) z) t))
22.0ms
(* (- y x) z)
30.0ms
(/ (* (- y x) z) t)

series184.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(+ x (/ (* (- y x) z) t))
47.0ms
(* (- y x) z)
72.0ms
(/ (* (- y x) z) t)

simplify1.3s

Counts
78 → 78
Iterations
IterNodes
done5000
21013
1307
0119

prune328.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ z t) y x) (/ x (/ t z)))
1.7b
(fma (/ z t) y x)
4.1b
(/ x (/ t z))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
204×add-sqr-sqrt
197×*-un-lft-identity
195×add-cube-cbrt
132×prod-diff
17×div-inv
13×associate-/r*
8×add-cbrt-cube add-exp-log
5×add-log-exp
4×associate-/r/
3×expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp insert-posit16 log1p-expm1-u associate-/l* difference-of-squares
2×fma-udef
1×clear-num sub-neg frac-2neg flip3-- diff-log associate--l+ flip-- distribute-lft-out--
Counts
3 → 239
Calls
3 calls:
47.0ms
(- (fma (/ z t) y x) (/ x (/ t z)))
0.0ms
(fma (/ z t) y x)
9.0ms
(/ x (/ t z))

series132.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (fma (/ z t) y x) (/ x (/ t z)))
56.0ms
(fma (/ z t) y x)
38.0ms
(/ x (/ t z))

simplify2.5s

Counts
248 → 248
Iterations
IterNodes
done5000
24958
11355
0503

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
1.7b
(fma (/ z t) y x)
2.0b
(/ (cbrt x) (/ t z))
2.3b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ t z)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
162×add-sqr-sqrt
151×*-un-lft-identity add-cube-cbrt
86×cbrt-prod
83×associate-*r*
30×add-exp-log
18×add-cbrt-cube
15×div-inv
13×associate-/r*
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down
2×associate-/r/
1×clear-num frac-2neg pow1/3 associate-*l* associate-*r/ *-commutative fma-udef
Counts
4 → 255
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(fma (/ z t) y x)
21.0ms
(/ (cbrt x) (/ t z))
81.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ t z)))

series561.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt x)
49.0ms
(fma (/ z t) y x)
177.0ms
(/ (cbrt x) (/ t z))
83.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ t z)))

simplify2.7s

Counts
267 → 267
Iterations
IterNodes
done5038
24343
11166
0359

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

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-cbrt-cube add-exp-log div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×expm1-log1p-u pow1 div-sub insert-posit16 log1p-expm1-u associate-/l/
1×+-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 123
Calls
2 calls:
47.0ms
(+ x (/ (- y x) (/ t z)))
26.0ms
(/ (- y x) (/ t z))

series453.0ms

Counts
2 → 6
Calls
2 calls:
372.0ms
(+ x (/ (- y x) (/ t z)))
81.0ms
(/ (- y x) (/ t z))

simplify1.5s

Counts
129 → 129
Iterations
IterNodes
done5002
22053
1669
0223

prune555.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes391.0ms

Accuracy

41.9% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.0s

Algorithm
intervals
Results
538.0ms10701×body80valid