Details

Time bar (total: 30.4s)

sample49.0ms

Algorithm
intervals
Results
19.0ms366×body80valid

simplify63.0ms

Counts
1 → 1
Iterations
IterNodes
done89
689
585
471
351
235
117
09

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 1 expressions with local error:

7.5b
(/ (fma (- t) z (* x y)) a)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ (fma (- t) z (* x y)) a)

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(/ (fma (- t) z (* x y)) a)

simplify789.0ms

Counts
32 → 32
Iterations
IterNodes
done5000
31009
2246
1104
062

prune303.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

7.6b
(* (fma (- t) z (* x y)) (/ 1 a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×*-un-lft-identity add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×expm1-log1p-u cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
13.0ms
(* (fma (- t) z (* x y)) (/ 1 a))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(* (fma (- t) z (* x y)) (/ 1 a))

simplify1.1s

Counts
41 → 41
Iterations
IterNodes
done5001
21114
1197
084

prune241.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y (/ a x)) (/ z (/ a t)))
4.6b
(/ z (/ a t))
7.2b
(/ y (/ a x))

rewrite575.0ms

Algorithm
rewrite-expression-head
Rules
6058×times-frac
3240×add-sqr-sqrt
3224×*-un-lft-identity
3204×add-cube-cbrt
1936×prod-diff
368×div-inv
91×associate-/r/
44×fma-neg
26×associate-/r*
13×add-cbrt-cube add-exp-log
9×difference-of-squares
6×cbrt-undiv div-exp associate-/l* distribute-lft-out--
5×add-log-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 2154
Calls
3 calls:
214.0ms
(- (/ y (/ a x)) (/ z (/ a t)))
8.0ms
(/ z (/ a t))
8.0ms
(/ y (/ a x))

series187.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(- (/ y (/ a x)) (/ z (/ a t)))
27.0ms
(/ z (/ a t))
43.0ms
(/ y (/ a x))

simplify1.3s

Counts
2163 → 2163
Iterations
IterNodes
done5001
02444

prune19.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

2.5b
(fma (/ (cbrt y) (/ a (cbrt y))) (/ (cbrt y) (/ 1 x)) (* (- t) (/ z a)))
4.4b
(* (- t) (/ z a))
4.4b
(* t (/ z a))
48.0b
(fma (- t) (/ z a) (* t (/ z a)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
26×associate-*r*
22×*-un-lft-identity add-cube-cbrt
20×times-frac
14×add-cbrt-cube add-exp-log
13×associate-*l*
8×pow1
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in
2×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative fma-udef div-inv
1×distribute-lft-neg-out neg-mul-1
Counts
4 → 96
Calls
4 calls:
0.0ms
(fma (/ (cbrt y) (/ a (cbrt y))) (/ (cbrt y) (/ 1 x)) (* (- t) (/ z a)))
28.0ms
(* (- t) (/ z a))
23.0ms
(* t (/ z a))
1.0ms
(fma (- t) (/ z a) (* t (/ z a)))

series726.0ms

Counts
4 → 12
Calls
4 calls:
588.0ms
(fma (/ (cbrt y) (/ a (cbrt y))) (/ (cbrt y) (/ 1 x)) (* (- t) (/ z a)))
35.0ms
(* (- t) (/ z a))
45.0ms
(* t (/ z a))
58.0ms
(fma (- t) (/ z a) (* t (/ z a)))

simplify1.4s

Counts
108 → 108
Iterations
IterNodes
done5001
22263
1391
0146

prune851.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes947.0ms

Accuracy

34% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 7.6b

bsearch2.0ms

simplify15.0ms

Iterations
IterNodes
done60
360
258
155
046

end0.0ms

sample1.6s

Algorithm
intervals
Results
632.0ms11285×body80valid