Details

Time bar (total: 20.2s)

sample90.0ms

Algorithm
intervals
Results
44.0ms238×body80valid
9.0ms17×body640valid
7.0ms11×body1280valid
5.0ms12×body320valid
2.0ms10×body160valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
61890
5788
4299
3108
243
120
011

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.6b
(fma (/ (- z t) (- a t)) (- y x) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 66
Calls
2 calls:
32.0ms
(/ (- z t) (- a t))
1.0ms
(fma (/ (- z t) (- a t)) (- y x) x)

series227.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- z t) (- a t))
158.0ms
(fma (/ (- z t) (- a t)) (- y x) x)

simplify2.1s

Counts
72 → 72
Iterations
IterNodes
done5001
32168
2680
1274
0118

prune412.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.6b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.2b
(* (/ (- z t) (- a t)) (- y x))
3.1b
(+ (* (/ (- z t) (- a t)) (- y x)) x)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×times-frac add-cube-cbrt
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* flip3-- associate-*r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-+
Counts
3 → 173
Calls
3 calls:
26.0ms
(/ (- z t) (- a t))
56.0ms
(* (/ (- z t) (- a t)) (- y x))
41.0ms
(+ (* (/ (- z t) (- a t)) (- y x)) x)

series862.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ (- z t) (- a t))
506.0ms
(* (/ (- z t) (- a t)) (- y x))
281.0ms
(+ (* (/ (- z t) (- a t)) (- y x)) x)

simplify2.2s

Counts
182 → 182
Iterations
IterNodes
done5002
22218
1718
0258

prune935.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.2b
(* (- y x) (/ (- z t) (- a t)))
3.1b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* flip3-- associate-*l* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 129
Calls
3 calls:
25.0ms
(/ (- z t) (- a t))
63.0ms
(* (- y x) (/ (- z t) (- a t)))
25.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series532.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ (- z t) (- a t))
201.0ms
(* (- y x) (/ (- z t) (- a t)))
267.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify1.6s

Counts
138 → 138
Iterations
IterNodes
done5000
21771
1522
0192

prune718.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(* (/ (- z t) (- a t)) (fma 1 y (- (* (cbrt x) (* (cbrt x) (cbrt x))))))
8.4b
(+ (* (/ (- z t) (- a t)) (fma 1 y (- (* (cbrt x) (* (cbrt x) (cbrt x)))))) (fma (/ (- z t) (- a t)) (fma x -1 x) x))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×associate-*l*
26×times-frac
18×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
6×cbrt-prod pow1 add-log-exp
5×fma-udef
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-*r*
2×distribute-rgt-in associate-+l+ distribute-lft-in pow1/3 prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative associate-+r+ sum-log fma-def flip3-+ flip3-- div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv flip--
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
47.0ms
(* (/ (- z t) (- a t)) (fma 1 y (- (* (cbrt x) (* (cbrt x) (cbrt x))))))
15.0ms
(+ (* (/ (- z t) (- a t)) (fma 1 y (- (* (cbrt x) (* (cbrt x) (cbrt x)))))) (fma (/ (- z t) (- a t)) (fma x -1 x) x))

series1.4s

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt x)
249.0ms
(cbrt x)
505.0ms
(* (/ (- z t) (- a t)) (fma 1 y (- (* (cbrt x) (* (cbrt x) (cbrt x))))))
341.0ms
(+ (* (/ (- z t) (- a t)) (fma 1 y (- (* (cbrt x) (* (cbrt x) (cbrt x)))))) (fma (/ (- z t) (- a t)) (fma x -1 x) x))

simplify1.4s

Counts
113 → 113
Iterations
IterNodes
done5005
21367
1425
0169

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.6b

regimes736.0ms

Accuracy

38.2% (5.1b remaining)

Error of 8.8b against oracle of 3.8b and baseline of 12.0b

bsearch2.0ms

simplify5.0ms

Iterations
IterNodes
done32
132
025

end0.0ms

sample1.9s

Algorithm
intervals
Results
904.0ms7722×body80valid
267.0ms470×body640valid
148.0ms427×body320valid
147.0ms264×body1280valid
60.0ms324×body160valid
11.0ms17×body2560valid