Details

Time bar (total: 13.9s)

sample66.0ms

Algorithm
intervals
Results
34.0ms256×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (120.0ms)

IterNodesCost
01621
13320
27920
320120
463719
5224019
6495219
done500019

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- a b))
1.0b
(fma a t (* y (- a b)))
1.5b
(fma (+ x y) z (fma a t (* y (- a b))))
27.0b
(/ (fma (+ x y) z (fma a t (* y (- a b)))) (+ (+ x t) y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
32×add-sqr-sqrt
28×add-cube-cbrt
18×prod-diff
15×times-frac
12×distribute-lft-out
11×distribute-rgt-in distribute-lft-in
8×add-exp-log add-cbrt-cube
6×pow1
5×associate-*r* associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* associate-/l*
2×sub-neg associate-*r/ associate-/r/ fma-udef
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 105
Calls
4 calls:
32.0ms
(* y (- a b))
0.0ms
(fma a t (* y (- a b)))
0.0ms
(fma (+ x y) z (fma a t (* y (- a b))))
37.0ms
(/ (fma (+ x y) z (fma a t (* y (- a b)))) (+ (+ x t) y))

series1.6s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* y (- a b))
68.0ms
(fma a t (* y (- a b)))
130.0ms
(fma (+ x y) z (fma a t (* y (- a b))))
1.4s
(/ (fma (+ x y) z (fma a t (* y (- a b)))) (+ (+ x t) y))

simplify886.0ms

Counts
117 → 117
Iterations

Useful iterations: done (882.0ms)

IterNodesCost
01832221
13932029
214121795
done50011769

prune443.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ (+ x t) y))
1.0b
(fma a t (* y (- a b)))
1.5b
(fma (+ x y) z (fma a t (* y (- a b))))
27.1b
(* (fma (+ x y) z (fma a t (* y (- a b)))) (/ 1 (+ (+ x t) y)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*r* distribute-lft-out
17×add-exp-log
11×add-cbrt-cube
7×pow1
5×associate-/r*
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 109
Calls
4 calls:
57.0ms
(/ 1 (+ (+ x t) y))
1.0ms
(fma a t (* y (- a b)))
0.0ms
(fma (+ x y) z (fma a t (* y (- a b))))
94.0ms
(* (fma (+ x y) z (fma a t (* y (- a b)))) (/ 1 (+ (+ x t) y)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ 1 (+ (+ x t) y))
44.0ms
(fma a t (* y (- a b)))
139.0ms
(fma (+ x y) z (fma a t (* y (- a b))))
395.0ms
(* (fma (+ x y) z (fma a t (* y (- a b)))) (/ 1 (+ (+ x t) y)))

simplify911.0ms

Counts
121 → 121
Iterations

Useful iterations: done (905.0ms)

IterNodesCost
01302017
12971805
214211599
done50011597

prune370.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (fma (+ x y) z (fma a t (* y (- a b))))))
1.0b
(fma a t (* y (- a b)))
1.5b
(fma (+ x y) z (fma a t (* y (- a b))))
27.0b
(/ (+ (+ x t) y) (fma (+ x y) z (fma a t (* y (- a b)))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
132×times-frac
70×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
22×associate-/r*
17×add-exp-log
11×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num fma-udef associate-/l/
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
4 → 161
Calls
4 calls:
60.0ms
(/ 1 (/ (+ (+ x t) y) (fma (+ x y) z (fma a t (* y (- a b))))))
1.0ms
(fma a t (* y (- a b)))
1.0ms
(fma (+ x y) z (fma a t (* y (- a b))))
94.0ms
(/ (+ (+ x t) y) (fma (+ x y) z (fma a t (* y (- a b)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
786.0ms
(/ 1 (/ (+ (+ x t) y) (fma (+ x y) z (fma a t (* y (- a b))))))
41.0ms
(fma a t (* y (- a b)))
139.0ms
(fma (+ x y) z (fma a t (* y (- a b))))
175.0ms
(/ (+ (+ x t) y) (fma (+ x y) z (fma a t (* y (- a b)))))

simplify1.2s

Counts
173 → 173
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01905188
14614825
221184494
done50004422

prune482.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.7b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune1.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 2.7b

regimes657.0ms

Accuracy

47.7% (12.7b remaining)

Error of 17.2b against oracle of 4.5b and baseline of 28.7b

bsearch145.0ms

Steps
ItersRangePoint
10
2.148046126657825e-42
5.320700264146167e-28
5.226391209460367e-28
7
-1891.1351737871219
-101.50163225226844
-1874.0917790302829

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02237
13033
done3033

end0.0ms

sample1.3s

Algorithm
intervals
Results
821.0ms7998×body80valid
1.0ms2×body1280valid