Details

Time bar (total: 11.6s)

sample61.0ms

Algorithm
intervals
Results
41.0ms264×body80valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
done53
553
451
345
235
126
015

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.4b

localize43.0ms

Local error

Found 3 expressions with local error:

2.4b
(fma (/ y t) b (+ a 1.0))
3.8b
(fma (/ y t) z x)
11.4b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 52
Calls
3 calls:
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
7.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series803.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(fma (/ y t) b (+ a 1.0))
50.0ms
(fma (/ y t) z x)
692.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify617.0ms

Counts
61 → 61
Iterations
IterNodes
done2002
31013
2321
1130
080

prune317.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.4b
(fma (/ y t) b (+ a 1.0))
3.8b
(fma (/ y t) z x)
11.4b
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 95
Calls
4 calls:
6.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
18.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series888.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
42.0ms
(fma (/ y t) b (+ a 1.0))
45.0ms
(fma (/ y t) z x)
587.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify609.0ms

Counts
107 → 107
Iterations
IterNodes
done2001
2622
1235
0118

prune566.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.9b

localize25.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x)))
2.4b
(fma (/ y t) b (+ a 1.0))
3.8b
(fma (/ y t) z x)
11.3b
(/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 131
Calls
4 calls:
11.0ms
(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x)))
1.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
7.0ms
(/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x))

series949.0ms

Counts
4 → 12
Calls
4 calls:
539.0ms
(/ 1 (/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x)))
43.0ms
(fma (/ y t) b (+ a 1.0))
54.0ms
(fma (/ y t) z x)
313.0ms
(/ (fma (/ y t) b (+ a 1.0)) (fma (/ y t) z x))

simplify719.0ms

Counts
143 → 143
Iterations
IterNodes
done2001
2961
1386
0178

prune713.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
3.5b
(/ (* y b) t)
6.2b
(/ (* y z) t)
11.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
26×times-frac
25×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube add-exp-log
11×associate-/r*
9×add-log-exp
6×associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×expm1-log1p-u pow1 fma-def frac-add associate-/r/ insert-posit16 log1p-expm1-u
3×clear-num sum-log frac-2neg div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 122
Calls
4 calls:
28.0ms
(+ (+ a 1.0) (/ (* y b) t))
12.0ms
(/ (* y b) t)
11.0ms
(/ (* y z) t)
57.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (+ a 1.0) (/ (* y b) t))
26.0ms
(/ (* y b) t)
33.0ms
(/ (* y z) t)
156.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify920.0ms

Counts
134 → 134
Iterations
IterNodes
done2000
21976
1515
0199

prune575.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 9.2b

regimes846.0ms

Accuracy

31.2% (4.5b remaining)

Error of 14.8b against oracle of 10.3b and baseline of 16.9b

bsearch215.0ms

Steps
ItersRangePoint
9
5.408073222428775e+155
9.839338895052246e+161
5.495362439678872e+155
9
-4.463723097533937e+161
-1.0548626970020285e+153
-1.078370184907716e+153

simplify8.0ms

Iterations
IterNodes
done32
132
025

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.7s8300×body80valid