Details

Time bar (total: 19.8s)

sample42.0ms

Algorithm
intervals
Results
15.0ms345×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2207
3247
done247

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x y) (* z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
14.0ms
(- (* x y) (* z t))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(- (* x y) (* z t))

simplify2.7s

Counts
19 → 19
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
038202
1104193
2327178
31094178
43080173
done5000173

prune135.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x y (- (* t z)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma x y (- (* t z)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(fma x y (- (* t z)))

simplify2.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
019114
130114
262100
3217100
4901100
done5001100

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (pow (* x y) 3) (pow (* z t) 3))
1.9b
(fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))
3.2b
(* (* t z) (fma x y (* t z)))
36.8b
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
64×prod-diff
56×add-sqr-sqrt
46×*-un-lft-identity
37×sqr-pow
36×add-cube-cbrt
27×times-frac
20×difference-of-squares
17×cube-mult unpow-prod-down unpow3 cube-prod
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×fma-neg
6×add-log-exp
5×difference-cubes distribute-lft-out--
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod fma-udef
2×flip3-- flip-- associate-/l/
1×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub div-exp associate-*l* clear-num *-commutative div-inv
Counts
4 → 180
Calls
4 calls:
37.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
1.0ms
(fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))
33.0ms
(* (* t z) (fma x y (* t z)))
96.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))

series823.0ms

Counts
4 → 12
Calls
4 calls:
326.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
146.0ms
(fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))
107.0ms
(* (* t z) (fma x y (* t z)))
244.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))

simplify5.0s

Counts
192 → 192
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
02786918
16965503
242734667
done50004667

prune981.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

12.0b
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))))
23.6b
(sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))
23.6b
(sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))
24.3b
(/ (/ (- (pow (* x y) 3) (pow (* z t) 3)) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
780×times-frac
524×add-sqr-sqrt
424×*-un-lft-identity
402×sqrt-prod
326×add-cube-cbrt
196×difference-of-squares sqr-pow
67×associate-/l*
49×difference-cubes distribute-lft-out--
12×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- flip--
Counts
4 → 546
Calls
4 calls:
70.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))))
2.0ms
(sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))
2.0ms
(sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))
80.0ms
(/ (/ (- (pow (* x y) 3) (pow (* z t) 3)) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))))

series893.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))))
181.0ms
(sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))
179.0ms
(sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))
233.0ms
(/ (/ (- (pow (* x y) 3) (pow (* z t) 3)) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z)))))) (sqrt (fma (* x y) (* x y) (* (* t z) (fma x y (* t z))))))

simplify1.1s

Counts
558 → 558
Iterations

Useful iterations: done (1.1s)

IterNodesCost
058746588
1137341352
done500039270

prune3.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes283.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2147
done147

end0.0ms

sample1.2s

Algorithm
intervals
Results
465.0ms10511×body80valid