Details

Time bar (total: 21.4s)

sample50.0ms

Algorithm
intervals
Results
22.0ms242×body80valid
4.0ms12×body640valid
2.0ms6×body1280valid
2.0ms10×body320valid
2.0ms11×body160valid

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5001
83757
72046
6989
5406
4195
3103
250
122
011

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
11.1b
(fma (- t z) (/ y (- a t)) (+ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 51
Calls
2 calls:
13.0ms
(/ y (- a t))
0.0ms
(fma (- t z) (/ y (- a t)) (+ x y))

series241.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ y (- a t))
185.0ms
(fma (- t z) (/ y (- a t)) (+ x y))

simplify1.5s

Counts
57 → 57
Iterations
IterNodes
done5000
31386
2456
1176
094

prune373.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
4.0b
(+ (* (- t z) (/ y (- a t))) (+ x y))
12.3b
(* (- t z) (/ y (- a t)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-cbrt-cube frac-add add-exp-log
8×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
6×frac-times flip3-+ associate-*l/ flip-+
5×pow1 associate-/r* associate-*l*
4×associate-/r/
3×expm1-log1p-u sum-log associate-*r/ insert-posit16 log1p-expm1-u associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative associate-+r+ clear-num fma-def frac-2neg pow-prod-down *-commutative
Counts
3 → 116
Calls
3 calls:
16.0ms
(/ y (- a t))
36.0ms
(+ (* (- t z) (/ y (- a t))) (+ x y))
32.0ms
(* (- t z) (/ y (- a t)))

series356.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (- a t))
206.0ms
(+ (* (- t z) (/ y (- a t))) (+ x y))
106.0ms
(* (- t z) (/ y (- a t)))

simplify2.4s

Counts
125 → 125
Iterations
IterNodes
done5000
23040
1675
0217

prune705.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
3.7b
(* (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
6.9b
(+ (* (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (+ x y))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
36×times-frac
35×*-un-lft-identity
30×associate-*r*
27×cbrt-prod
25×add-exp-log
23×add-cube-cbrt
18×cbrt-div add-cbrt-cube
17×associate-*l*
10×associate-/r/
9×flip3-- flip-- add-log-exp
8×prod-exp cbrt-unprod
7×frac-times cbrt-undiv div-exp
6×pow1 frac-add distribute-lft-out-- difference-of-squares unswap-sqr
5×associate-*l/ associate-*r/
4×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u
3×sum-log
2×pow1/3 div-inv
1×+-commutative associate-+r+ fma-def pow-prod-down *-commutative
Counts
4 → 139
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
86.0ms
(* (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
75.0ms
(+ (* (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (+ x y))

series832.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (- a t))
182.0ms
(cbrt (- a t))
165.0ms
(* (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
292.0ms
(+ (* (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (+ x y))

simplify2.6s

Counts
151 → 151
Iterations
IterNodes
done5000
23540
1889
0282

prune1000.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
0.9b
(* (* (cbrt y) (cbrt y)) (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))))
7.6b
(+ (* (* (* (cbrt y) (cbrt y)) (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt y) (cbrt (- a t)))) (+ x y))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
17×associate-*r*
16×add-sqr-sqrt cbrt-div
15×add-cbrt-cube
14×*-un-lft-identity
11×prod-exp cbrt-unprod
10×cbrt-prod
9×pow1 associate-*r/ add-log-exp
8×flip3-- associate-/r/ add-cube-cbrt flip--
6×frac-times times-frac frac-add
4×expm1-log1p-u cbrt-undiv flip3-+ div-exp associate-*l/ flip-+ insert-posit16 log1p-expm1-u
3×sum-log pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3 unswap-sqr
1×+-commutative associate-+r+ fma-def associate-*l* *-commutative div-inv
Counts
4 → 105
Calls
4 calls:
5.0ms
(cbrt (- a t))
5.0ms
(cbrt (- a t))
80.0ms
(* (* (cbrt y) (cbrt y)) (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))))
158.0ms
(+ (* (* (* (cbrt y) (cbrt y)) (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt y) (cbrt (- a t)))) (+ x y))

series1.1s

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (- a t))
166.0ms
(cbrt (- a t))
462.0ms
(* (* (cbrt y) (cbrt y)) (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t)))))
255.0ms
(+ (* (* (* (cbrt y) (cbrt y)) (/ (- t z) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt y) (cbrt (- a t)))) (+ x y))

simplify2.5s

Counts
117 → 117
Iterations
IterNodes
done5000
23099
1847
0280

prune692.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 3.2b

regimes682.0ms

Accuracy

34.3% (5.0b remaining)

Error of 8.3b against oracle of 3.3b and baseline of 10.9b

bsearch177.0ms

Steps
ItersRangePoint
10
6.229866488820149e-124
5.163141678576117e-110
2.976075834772394e-120
9
-2.0477058230588415e-118
-1.5355849018748885e-123
-6.796987859803041e-120

simplify5.0ms

Iterations
IterNodes
done31
131
027

end0.0ms

sample1.2s

Algorithm
intervals
Results
611.0ms7403×body80valid
121.0ms430×body640valid
95.0ms390×body320valid
67.0ms236×body1280valid
28.0ms264×body160valid
6.0ms19×body2560valid