Details

Time bar (total: 15.0s)

sample55.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify696.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
51678
4360
3148
262
126
013

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ y (fma (/ y z) (- t) (* z 2.0))) (- 2.0) x)
3.6b
(fma (/ y z) (- t) (* z 2.0))
4.6b
(/ y (fma (/ y z) (- t) (* z 2.0)))

rewrite5.0ms

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 (fma (/ y z) (- t) (* z 2.0))) (- 2.0) x)
0.0ms
(fma (/ y z) (- t) (* z 2.0))
4.0ms
(/ y (fma (/ y z) (- t) (* z 2.0)))

series767.0ms

Counts
3 → 9
Calls
3 calls:
439.0ms
(fma (/ y (fma (/ y z) (- t) (* z 2.0))) (- 2.0) x)
67.0ms
(fma (/ y z) (- t) (* z 2.0))
261.0ms
(/ y (fma (/ y z) (- t) (* z 2.0)))

simplify1.2s

Counts
58 → 58
Iterations
IterNodes
done5001
31236
2348
1134
079

prune424.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* y (/ 1 (fma (/ t z) (- y) (* 2.0 z)))) (- 2.0) x)
0.3b
(/ 1 (fma (/ t z) (- y) (* 2.0 z)))
3.4b
(fma (/ t z) (- y) (* 2.0 z))
4.6b
(* y (/ 1 (fma (/ t z) (- y) (* 2.0 z))))

rewrite19.0ms

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:
0.0ms
(fma (* y (/ 1 (fma (/ t z) (- y) (* 2.0 z)))) (- 2.0) x)
4.0ms
(/ 1 (fma (/ t z) (- y) (* 2.0 z)))
0.0ms
(fma (/ t z) (- y) (* 2.0 z))
12.0ms
(* y (/ 1 (fma (/ t z) (- y) (* 2.0 z))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(fma (* y (/ 1 (fma (/ t z) (- y) (* 2.0 z)))) (- 2.0) x)
250.0ms
(/ 1 (fma (/ t z) (- y) (* 2.0 z)))
64.0ms
(fma (/ t z) (- y) (* 2.0 z))
105.0ms
(* y (/ 1 (fma (/ t z) (- y) (* 2.0 z))))

simplify617.0ms

Counts
103 → 103
Iterations
IterNodes
done5001
2949
1245
0114

prune680.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.4b
(- (* (* z 2.0) z) (* y t))
17.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
12×times-frac add-cbrt-cube add-exp-log
8×associate-/r/
7×add-log-exp
6×flip3-- flip--
4×fma-neg div-inv
3×expm1-log1p-u pow1 cbrt-undiv associate-/r* div-exp prod-exp cbrt-unprod log1p-expm1-u
2×sub-neg diff-log
1×clear-num frac-2neg associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
70.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
15.0ms
(- (* (* z 2.0) z) (* y t))
60.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series485.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
51.0ms
(- (* (* z 2.0) z) (* y t))
292.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify1.8s

Counts
98 → 98
Iterations
IterNodes
done5000
23023
1525
0188

prune591.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize51.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ (/ (* y 2.0) (cbrt (fma (* z 2.0) z (* (- y) t)))) (cbrt (fma (* z 2.0) z (* (- y) t)))) (/ z (cbrt (fma (* z 2.0) z (* (- y) t)))))
24.3b
(cbrt (fma (* z 2.0) z (* (- y) t)))
24.3b
(cbrt (fma (* z 2.0) z (* (- y) t)))
24.3b
(cbrt (fma (* z 2.0) z (* (- y) t)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
89×add-sqr-sqrt
72×cbrt-prod
64×associate-*l*
59×*-un-lft-identity add-cube-cbrt
36×add-exp-log
22×add-cbrt-cube associate-*r*
14×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
9×unswap-sqr
8×div-inv
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 164
Calls
4 calls:
64.0ms
(* (/ (/ (* y 2.0) (cbrt (fma (* z 2.0) z (* (- y) t)))) (cbrt (fma (* z 2.0) z (* (- y) t)))) (/ z (cbrt (fma (* z 2.0) z (* (- y) t)))))
1.0ms
(cbrt (fma (* z 2.0) z (* (- y) t)))
1.0ms
(cbrt (fma (* z 2.0) z (* (- y) t)))
1.0ms
(cbrt (fma (* z 2.0) z (* (- y) t)))

series869.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(* (/ (/ (* y 2.0) (cbrt (fma (* z 2.0) z (* (- y) t)))) (cbrt (fma (* z 2.0) z (* (- y) t)))) (/ z (cbrt (fma (* z 2.0) z (* (- y) t)))))
204.0ms
(cbrt (fma (* z 2.0) z (* (- y) t)))
161.0ms
(cbrt (fma (* z 2.0) z (* (- y) t)))
186.0ms
(cbrt (fma (* z 2.0) z (* (- y) t)))

simplify1.9s

Counts
176 → 176
Iterations
IterNodes
done5001
24174
1788
0252

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

regimes600.0ms

Accuracy

-39.3% (2.6b remaining)

Error of 3.1b against oracle of 0.6b and baseline of 2.4b

bsearch3.0ms

simplify6.0ms

Iterations
IterNodes
done27
127
022

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s8000×body80valid