Details

Time bar (total: 24.0s)

sample39.0ms

Algorithm
intervals
Results
21.0ms327×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
1.0ms
(fma (- z x) y x)
12.0ms
(/ (fma (- z x) y x) z)

series113.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(fma (- z x) y x)
70.0ms
(/ (fma (- z x) y x) z)

simplify2.8s

Counts
45 → 45
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
066554
1117542
2270492
3835492
43821492
done5000492

prune208.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
0.0b
(+ (/ x z) y)
6.6b
(/ (* x y) z)

rewrite213.0ms

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:
180.0ms
(- (+ (/ x z) y) (/ (* x y) z))
18.0ms
(+ (/ x z) y)
11.0ms
(/ (* x y) z)

series120.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (+ (/ x z) y) (/ (* x y) z))
41.0ms
(+ (/ x z) y)
30.0ms
(/ (* x y) z)

simplify2.3s

Counts
112 → 112
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01542085
13901744
213791437
done50001185

prune383.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1 (+ (/ x z) y) (* (/ x z) (- y)))
0.0b
(+ (/ x z) y)
2.8b
(* (/ x z) (- y))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
19×times-frac
13×fma-def associate-*l*
10×associate-*r*
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u
2×prod-exp cbrt-unprod div-inv unswap-sqr
1×cbrt-undiv +-commutative neg-mul-1 flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative distribute-rgt-neg-out flip-+ fma-udef distribute-lft-out
Counts
3 → 79
Calls
3 calls:
1.0ms
(fma 1 (+ (/ x z) y) (* (/ x z) (- y)))
46.0ms
(+ (/ x z) y)
42.0ms
(* (/ x z) (- y))

series181.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(fma 1 (+ (/ x z) y) (* (/ x z) (- y)))
41.0ms
(+ (/ x z) y)
57.0ms
(* (/ x z) (- y))

simplify4.1s

Counts
88 → 88
Iterations

Useful iterations: done (4.1s)

IterNodesCost
0120723
1316664
21015610
33805582
done5001569

prune365.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x z)) (cbrt (/ x z)))
8.3b
(cbrt (/ x z))
8.3b
(cbrt (/ x z))
8.3b
(cbrt (/ x z))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
68.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
5.0ms
(cbrt (/ x z))
5.0ms
(cbrt (/ x z))
5.0ms
(cbrt (/ x z))

series523.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
112.0ms
(cbrt (/ x z))
131.0ms
(cbrt (/ x z))
124.0ms
(cbrt (/ x z))

simplify4.2s

Counts
164 → 164
Iterations

Useful iterations: done (4.2s)

IterNodesCost
01651926
12651797
26721725
313631647
432341562
done50011476

prune930.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes97.0ms

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

sample1.1s

Algorithm
intervals
Results
516.0ms10151×body80valid