Details

Time bar (total: 21.9s)

sample30.0ms

Algorithm
intervals
Results
13.0ms309×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08164
114139
224139
340139
470139
5103139
6121139
7147139
8199139
9486139
102087139
done5001139

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x y (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma x y (* (- 1.0 x) z))
24.0ms
(* (- 1.0 x) z)

series86.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(fma x y (* (- 1.0 x) z))
44.0ms
(* (- 1.0 x) z)

simplify786.0ms

Counts
40 → 40
Iterations

Useful iterations: done (784.0ms)

IterNodesCost
0646907
11366340
24956220
done50006140

prune158.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.9b
(* (- (* 1.0 1.0) (* x x)) z)
5.3b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1
4×associate-/r* times-frac associate-*l* associate-*l/
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-- distribute-lft-out associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down *-commutative flip-+ fma-udef div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
0.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
27.0ms
(* (- (* 1.0 1.0) (* x x)) z)
20.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series207.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
57.0ms
(* (- (* 1.0 1.0) (* x x)) z)
76.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: done (1.5s)

IterNodesCost
011720116
133718111
2206816671
done500116566

prune390.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)))
0.0b
(/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x))
0.1b
(/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)
0.3b
(/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z))

rewrite617.0ms

Algorithm
rewrite-expression-head
Rules
6042×times-frac
4233×*-un-lft-identity
2857×add-sqr-sqrt
2107×add-cube-cbrt
688×distribute-lft-out
375×distribute-lft-out-- difference-of-squares
360×associate-/r*
207×associate-/r/
141×associate-/l*
109×div-inv
86×flip3-+ flip-+
52×add-exp-log
35×div-exp
32×add-cbrt-cube
19×cbrt-undiv
17×flip3-- flip--
5×pow1
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×fma-udef pow-flip inv-pow
Counts
4 → 2094
Calls
4 calls:
0.0ms
(fma x y (/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)))
53.0ms
(/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x))
81.0ms
(/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)
156.0ms
(/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z))

series145.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma x y (/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)))
24.0ms
(/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x))
32.0ms
(/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)
50.0ms
(/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z))

simplify3.8s

Counts
2106 → 2106
Iterations

Useful iterations: done (3.3s)

IterNodesCost
019131405382
done50011161759

prune8.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07139
18139
done8139

end0.0ms

sample1.4s

Algorithm
intervals
Results
526.0ms10127×body80valid