Details

Time bar (total: 21.2s)

sample45.0ms

Algorithm
intervals
Results
19.0ms331×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
079
1119
2208
3368
4548
5748
6978
71348
82028
92878
104128
116978
1216938
done50008

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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)
6.0ms
(/ (fma (- z x) y x) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(fma (- z x) y x)
54.0ms
(/ (fma (- z x) y x) z)

simplify2.9s

Counts
45 → 45
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
066554
1117542
2270492
3835492
43821492
done5000492

prune185.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
5.9b
(/ (* x y) z)

rewrite192.0ms

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:
172.0ms
(- (+ (/ x z) y) (/ (* x y) z))
16.0ms
(/ (* x y) z)

series76.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (+ (/ x z) y) (/ (* x y) z))
28.0ms
(/ (* x y) z)

simplify2.3s

Counts
82 → 82
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01501944
13811617
213391310
done50011060

prune254.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1 (+ (/ x z) y) (* (- y) (/ x z)))
3.6b
(* (- y) (/ x z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac associate-*l*
7×add-exp-log add-cbrt-cube
4×pow1
3×distribute-lft-neg-in distribute-rgt-neg-in
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv distribute-lft-neg-out neg-mul-1 associate-*r/ div-exp pow-prod-down *-commutative fma-udef div-inv
Counts
2 → 52
Calls
2 calls:
1.0ms
(fma 1 (+ (/ x z) y) (* (- y) (/ x z)))
49.0ms
(* (- y) (/ x z))

series99.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma 1 (+ (/ x z) y) (* (- y) (/ x z)))
45.0ms
(* (- y) (/ x z))

simplify3.5s

Counts
58 → 58
Iterations

Useful iterations: done (3.5s)

IterNodesCost
097592
1255540
2924488
33973462
done5000449

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (- y) (* (cbrt (/ x z)) (cbrt (/ x z))))
10.4b
(cbrt (/ x z))
10.4b
(cbrt (/ x z))
10.4b
(cbrt (/ x z))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity
27×times-frac
10×associate-*l*
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×distribute-lft-neg-out frac-times neg-mul-1 associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 104
Calls
4 calls:
57.0ms
(* (- y) (* (cbrt (/ x z)) (cbrt (/ x z))))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))

series481.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (- y) (* (cbrt (/ x z)) (cbrt (/ x z))))
121.0ms
(cbrt (/ x z))
96.0ms
(cbrt (/ x z))
112.0ms
(cbrt (/ x z))

simplify3.2s

Counts
116 → 116
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01441244
13001188
27391101
322451076
done5000938

prune671.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0913
11513
21913
32213
done2213

end0.0ms

sample1.3s

Algorithm
intervals
Results
675.0ms10109×body80valid