Details

Time bar (total: 2.1m)

sample41.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms226×body80nan

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5000
64166
52057
4627
3203
263
121
010

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (fma (log y) (+ 0.5 y) (- z y)))
0.1b
(fma (log y) (+ 0.5 y) (- z y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×prod-diff add-cube-cbrt
4×add-log-exp
3×fma-neg
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
11.0ms
(- x (fma (log y) (+ 0.5 y) (- z y)))
1.0ms
(fma (log y) (+ 0.5 y) (- z y))

series141.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- x (fma (log y) (+ 0.5 y) (- z y)))
67.0ms
(fma (log y) (+ 0.5 y) (- z y))

simplify3.3s

Counts
45 → 45
Iterations
IterNodes
done5020
32258
2634
1237
0101

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b
(fma (log y) (+ y 0.5) z)
0.1b
(- (fma (log y) (+ y 0.5) z) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
35×add-sqr-sqrt
33×prod-diff
25×add-cube-cbrt
12×associate--r+
10×add-log-exp
7×distribute-lft-out--
6×fma-neg
5×difference-of-squares
4×diff-log
3×expm1-log1p-u pow1 sub-neg add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
2×flip3-- associate--l+ flip--
1×associate--r-
Counts
3 → 88
Calls
3 calls:
33.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
1.0ms
(fma (log y) (+ y 0.5) z)
11.0ms
(- (fma (log y) (+ y 0.5) z) y)

series226.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
66.0ms
(fma (log y) (+ y 0.5) z)
69.0ms
(- (fma (log y) (+ y 0.5) z) y)

simplify2.9s

Counts
97 → 97
Iterations
IterNodes
done5000
34045
21128
1429
0169

prune603.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.5b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b
(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
39.0ms
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
7.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
7.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
7.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

series5.4s

Counts
4 → 12
Calls
4 calls:
4.1s
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
407.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
419.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
478.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify5.4s

Counts
121 → 121
Iterations
IterNodes
done5000
24235
1996
0307

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

1.1b
(+ (* y y) (* (fma (log y) (+ y 0.5) z) y))
2.7b
(+ (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (+ (* y y) (* (fma (log y) (+ y 0.5) z) y)))
12.6b
(- (* (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (fma (log y) (+ y 0.5) z)) (* y (* y y)))
29.3b
(/ (- (* (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (fma (log y) (+ y 0.5) z)) (* y (* y y))) (+ (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (+ (* y y) (* (fma (log y) (+ y 0.5) z) y))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
12×times-frac
6×add-cbrt-cube add-exp-log
5×difference-cubes cube-unmult pow3
4×expm1-log1p-u pow1 sum-log fma-udef log1p-expm1-u associate-/l*
3×associate-/r* flip3-+ flip-+
2×distribute-rgt-in +-commutative associate-+l+ fma-def distribute-lft-in flip3-- associate--l+ associate-/r/ flip-- associate-/l/
1×cbrt-undiv associate-+r+ clear-num sub-neg frac-2neg distribute-rgt-out fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
4 → 90
Calls
4 calls:
7.0ms
(+ (* y y) (* (fma (log y) (+ y 0.5) z) y))
16.0ms
(+ (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (+ (* y y) (* (fma (log y) (+ y 0.5) z) y)))
41.0ms
(- (* (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (fma (log y) (+ y 0.5) z)) (* y (* y y)))
112.0ms
(/ (- (* (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (fma (log y) (+ y 0.5) z)) (* y (* y y))) (+ (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (+ (* y y) (* (fma (log y) (+ y 0.5) z) y))))

series51.7s

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* y y) (* (fma (log y) (+ y 0.5) z) y))
186.0ms
(+ (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (+ (* y y) (* (fma (log y) (+ y 0.5) z) y)))
220.0ms
(- (* (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (fma (log y) (+ y 0.5) z)) (* y (* y y)))
51.2s
(/ (- (* (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (fma (log y) (+ y 0.5) z)) (* y (* y y))) (+ (* (fma (log y) (+ y 0.5) z) (fma (log y) (+ y 0.5) z)) (+ (* y y) (* (fma (log y) (+ y 0.5) z) y))))

simplify45.2s

Counts
102 → 102
Iterations
IterNodes
done5001
12543
0712

prune1.3s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes313.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample1.8s

Algorithm
intervals
Results
665.0ms8025×body80valid
610.0ms7792×body80nan
1.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid