Details

Time bar (total: 18.9s)

sample70.0ms

Algorithm
intervals
Results
26.0ms266×body80valid

simplify61.0ms

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

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.5b
(/ (* y b) t)
4.4b
(/ (* y z) t)
8.7b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
26×times-frac
22×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube add-exp-log
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ log1p-expm1-u
3×clear-num fma-def frac-2neg div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 112
Calls
4 calls:
9.0ms
(+ x (/ (* y z) t))
8.0ms
(/ (* y b) t)
8.0ms
(/ (* y z) t)
88.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ x (/ (* y z) t))
38.0ms
(/ (* y b) t)
39.0ms
(/ (* y z) t)
175.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.6s

Counts
124 → 124
Iterations
IterNodes
done5000
21795
1495
0187

prune953.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (/ t (* y b)))
3.4b
(/ t (* y b))
4.4b
(/ (* y z) t)
8.7b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
67×times-frac
38×distribute-lft-out
37×add-sqr-sqrt add-exp-log add-cube-cbrt
25×add-cbrt-cube
18×associate-/r* div-inv
17×div-exp
11×associate-/l*
10×cbrt-undiv
5×pow1 prod-exp associate-/r/
4×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
3×rec-exp flip3-+ 1-exp cbrt-unprod flip-+
2×frac-add associate-/l/
1×pow-flip inv-pow
Counts
4 → 163
Calls
4 calls:
25.0ms
(/ 1 (/ t (* y b)))
12.0ms
(/ t (* y b))
15.0ms
(/ (* y z) t)
137.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (/ t (* y b)))
47.0ms
(/ t (* y b))
45.0ms
(/ (* y z) t)
238.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify2.7s

Counts
175 → 175
Iterations
IterNodes
done5000
22443
1643
0250

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.2b

localize19.0ms

Local error

Found 3 expressions with local error:

2.4b
(fma (/ y t) b (+ a 1.0))
3.5b
(fma (/ y t) z x)
8.7b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite11.0ms

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* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
9.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series846.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(fma (/ y t) b (+ a 1.0))
57.0ms
(fma (/ y t) z x)
724.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify2.7s

Counts
58 → 58
Iterations
IterNodes
done5000
44233
31002
2325
1128
077

prune489.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.4b
(fma (/ y t) b (+ a 1.0))
3.5b
(fma (/ y t) z x)
8.8b
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite38.0ms

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 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 → 91
Calls
4 calls:
8.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
1.0ms
(fma (/ y t) z x)
25.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series998.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
53.0ms
(fma (/ y t) b (+ a 1.0))
50.0ms
(fma (/ y t) z x)
721.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify2.4s

Counts
103 → 103
Iterations
IterNodes
done5005
32273
2735
1233
0114

prune714.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.1b

regimes1.0s

Accuracy

31.9% (4.3b remaining)

Error of 15.0b against oracle of 10.7b and baseline of 17.0b

bsearch79.0ms

Steps
ItersRangePoint
8
3.079903166760186e-34
4.037831578541124e-30
3.6145696689225528e-31

simplify5.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample1.9s

Algorithm
intervals
Results
775.0ms8286×body80valid