Details

Time bar (total: 12.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms317×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

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: 11.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
10.6b
(/ (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)

series75.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(fma (- z x) y x)
46.0ms
(/ (fma (- z x) y x) z)

simplify2.4s

Counts
45 → 45
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
066554
1120542
2326492
31197492
44252492
done5000492

prune106.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
6.8b
(/ (* x y) z)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
28×prod-diff
22×add-sqr-sqrt
20×add-cube-cbrt
15×times-frac
9×distribute-lft-out
7×add-exp-log add-cbrt-cube add-log-exp
5×div-inv
4×fma-neg
3×associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u diff-log div-exp frac-sub log1p-expm1-u distribute-lft-out--
1×sub-neg flip3-- frac-2neg flip3-+ prod-exp associate--l+ clear-num sum-log flip-- cbrt-unprod flip-+ associate-/l* difference-of-squares
Counts
2 → 76
Calls
2 calls:
79.0ms
(- (+ (/ x z) y) (/ (* x y) z))
3.0ms
(/ (* x y) z)

series53.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (+ (/ x z) y) (/ (* x y) z))
20.0ms
(/ (* x y) z)

simplify774.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
01501944
14031617
215761330
done50001330

prune127.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (/ x z) y) (* (/ x z) (- y)))
3.4b
(* (/ x z) (- y))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt associate-*l*
10×times-frac associate-*r*
7×add-exp-log add-cbrt-cube add-log-exp
4×pow1 fma-def
3×distribute-lft-neg-in distribute-rgt-neg-in associate-*l/ sum-log distribute-rgt-neg-out
2×expm1-log1p-u flip3-+ frac-add prod-exp cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative neg-mul-1 associate-+l+ div-exp unsub-neg pow-prod-down *-commutative div-inv distribute-lft-out
Counts
2 → 65
Calls
2 calls:
54.0ms
(+ (+ (/ x z) y) (* (/ x z) (- y)))
11.0ms
(* (/ x z) (- y))

series56.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (+ (/ x z) y) (* (/ x z) (- y)))
26.0ms
(* (/ x z) (- y))

simplify656.0ms

Counts
71 → 71
Iterations

Useful iterations: done (654.0ms)

IterNodesCost
0131775
1395702
21594664
done5001663

prune147.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (/ x z) y) (* x (/ (- y) z)))
5.5b
(* x (/ (- y) z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r*
31×times-frac
29×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
9×distribute-lft-neg-in distribute-rgt-neg-in
7×add-exp-log add-cbrt-cube add-log-exp
4×pow1 fma-def
3×neg-mul-1 associate-*r/ distribute-frac-neg associate-*l* sum-log distribute-rgt-neg-out
2×expm1-log1p-u flip3-+ frac-add prod-exp cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative associate-+l+ div-exp unsub-neg pow-prod-down *-commutative div-inv distribute-lft-out
Counts
2 → 79
Calls
2 calls:
54.0ms
(+ (+ (/ x z) y) (* x (/ (- y) z)))
15.0ms
(* x (/ (- y) z))

series58.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (+ (/ x z) y) (* x (/ (- y) z)))
25.0ms
(* x (/ (- y) z))

simplify706.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
0167922
1463844
21950779
done5001779

prune176.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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 (0.0ms)

IterNodesCost
0812
11312
21612
31912
done1912

end0.0ms

sample438.0ms

Algorithm
intervals
Results
239.0ms10098×body80valid