Details

Time bar (total: 13.9s)

sample36.0ms

Algorithm
intervals
Results
23.0ms335×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5000
83385
71577
6779
5462
4258
3113
248
122
012

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
0.0b
(+ 0.75 (/ (- x z) y))
0.0b
(/ (- x z) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
14×add-cube-cbrt
5×add-cbrt-cube add-exp-log associate-/l* add-log-exp
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u pow1 associate-/r* fma-def insert-posit16 log1p-expm1-u
2×div-sub associate-/l/
1×cbrt-undiv +-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- div-exp flip-+ fma-udef div-inv flip-- distribute-lft-out
Counts
3 → 71
Calls
3 calls:
0.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
16.0ms
(+ 0.75 (/ (- x z) y))
13.0ms
(/ (- x z) y)

series103.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
21.0ms
(+ 0.75 (/ (- x z) y))
47.0ms
(/ (- x z) y)

simplify1.9s

Counts
80 → 80
Iterations
IterNodes
done5004
32152
2671
1275
0121

prune366.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 4.0 (* (/ (- x z) y) 4.0))
0.0b
(/ (- x z) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r* fma-def
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ distribute-rgt-out flip3-- div-sub div-exp distribute-rgt1-in flip-+ div-inv flip--
Counts
2 → 60
Calls
2 calls:
6.0ms
(+ 4.0 (* (/ (- x z) y) 4.0))
13.0ms
(/ (- x z) y)

series75.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ 4.0 (* (/ (- x z) y) 4.0))
39.0ms
(/ (- x z) y)

simplify3.2s

Counts
66 → 66
Iterations
IterNodes
done5012
32680
2735
1266
0109

prune369.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 4.0 (* (/ (- (* x x) (* z z)) (* y (+ x z))) 4.0))
0.0b
(* y (+ x z))
3.2b
(- (* x x) (* z z))
25.7b
(/ (- (* x x) (* z z)) (* y (+ x z)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-sqr-sqrt add-cbrt-cube add-exp-log
9×add-cube-cbrt
8×add-log-exp
6×pow1
4×expm1-log1p-u times-frac associate-*r* associate-*r/ insert-posit16 log1p-expm1-u associate-/l*
3×fma-def flip3-+ associate-*l* flip-+ difference-of-squares
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-- associate-/l/
1×distribute-rgt-in +-commutative clear-num associate-/r* sum-log sub-neg frac-2neg distribute-lft-in distribute-rgt-out fma-neg diff-log div-sub prod-diff pow-prod-down distribute-rgt1-in *-commutative div-inv distribute-lft-out unswap-sqr
Counts
4 → 94
Calls
4 calls:
12.0ms
(+ 4.0 (* (/ (- (* x x) (* z z)) (* y (+ x z))) 4.0))
27.0ms
(* y (+ x z))
17.0ms
(- (* x x) (* z z))
54.0ms
(/ (- (* x x) (* z z)) (* y (+ x z)))

series316.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ 4.0 (* (/ (- (* x x) (* z z)) (* y (+ x z))) 4.0))
53.0ms
(* y (+ x z))
61.0ms
(- (* x x) (* z z))
105.0ms
(/ (- (* x x) (* z z)) (* y (+ x z)))

simplify1.6s

Counts
106 → 106
Iterations
IterNodes
done5001
21757
1449
0153

prune437.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s10176×body80valid