Details

Time bar (total: 13.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms321×body80valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
079
1119
2208
3328
4478
5668
6898
71268
82328
94898
1011658
1142258
done50018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
7.7b
(/ (fma (- z x) y x) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (- z x) y x)
2.0ms
(/ (fma (- z x) y x) z)

series74.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(fma (- z x) y x)
43.0ms
(/ (fma (- z x) y x) z)

simplify2.5s

Counts
45 → 45
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
066554
1120542
2326492
31197492
44252492
done5000492

prune122.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
4.8b
(/ (* x y) z)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
30×add-sqr-sqrt
28×add-cube-cbrt prod-diff
24×times-frac
13×fma-def
10×distribute-lft-out add-log-exp
8×add-exp-log add-cbrt-cube
6×div-inv
4×fma-neg
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* difference-of-squares
Counts
3 → 103
Calls
3 calls:
11.0ms
(+ (/ x z) y)
88.0ms
(- (+ (/ x z) y) (/ (* x y) z))
4.0ms
(/ (* x y) z)

series79.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (/ x z) y)
31.0ms
(- (+ (/ x z) y) (/ (* x y) z))
25.0ms
(/ (* x y) z)

simplify831.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
01542085
14121744
215941457
done50011457

prune230.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ x (/ z y)))
5.7b
(/ x (/ z y))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
351×times-frac
334×*-un-lft-identity
246×add-sqr-sqrt
237×add-cube-cbrt
176×prod-diff
47×distribute-lft-out
22×div-inv
13×fma-def associate-/r*
10×add-log-exp
8×add-exp-log add-cbrt-cube
5×associate-/r/
4×fma-neg
3×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* difference-of-squares
2×flip3-+ diff-log sum-log frac-sub flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg associate--l+ clear-num flip--
Counts
3 → 302
Calls
3 calls:
10.0ms
(+ (/ x z) y)
110.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
5.0ms
(/ x (/ z y))

series88.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ x z) y)
36.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
32.0ms
(/ x (/ z y))

simplify519.0ms

Counts
311 → 311
Iterations

Useful iterations: done (507.0ms)

IterNodesCost
051512532
1135711507
done50008525

prune543.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (* 1 (* (/ x z) y)))
2.1b
(* (/ x z) y)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
25×add-sqr-sqrt
20×add-cube-cbrt
19×times-frac
13×fma-def associate-*l*
10×add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
4×fma-neg prod-diff distribute-lft-out
3×expm1-log1p-u associate-*r* associate-*l/ log1p-expm1-u
2×flip3-+ diff-log associate-*r/ prod-exp sum-log frac-sub cbrt-unprod flip-+ div-inv distribute-lft-out-- unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 89
Calls
3 calls:
11.0ms
(+ (/ x z) y)
83.0ms
(- (+ (/ x z) y) (* 1 (* (/ x z) y)))
8.0ms
(* (/ x z) y)

series77.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ x z) y)
31.0ms
(- (+ (/ x z) y) (* 1 (* (/ x z) y)))
25.0ms
(* (/ x z) y)

simplify713.0ms

Counts
98 → 98
Iterations

Useful iterations: done (711.0ms)

IterNodesCost
01331048
1356913
21365844
done5001790

prune224.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes53.0ms

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: 1 (1.0ms)

IterNodesCost
0913
11411
21611
done1611

end0.0ms

sample471.0ms

Algorithm
intervals
Results
250.0ms10093×body80valid