Details

Time bar (total: 24.1s)

sample29.0ms

Algorithm
intervals
Results
16.0ms310×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
12.9b
(/ (fma (- z x) y x) z)

rewrite11.0ms

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)
9.0ms
(/ (fma (- z x) y x) z)

series107.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(fma (- z x) y x)
64.0ms
(/ (fma (- z x) y x) z)

simplify2.9s

Counts
45 → 45
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
066554
1117542
2270492
3835492
43821492
done5000492

prune236.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
9.2b
(/ (* x y) z)

rewrite243.0ms

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:
18.0ms
(+ (/ x z) y)
199.0ms
(- (+ (/ x z) y) (/ (* x y) z))
20.0ms
(/ (* x y) z)

series121.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (/ x z) y)
52.0ms
(- (+ (/ x z) y) (/ (* x y) z))
37.0ms
(/ (* x y) z)

simplify2.5s

Counts
112 → 112
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01542085
13901744
213791437
done50001185

prune362.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(fma (/ x z) (- y) (pow (cbrt (+ (/ x z) y)) 3))
0.6b
(cbrt (+ (/ x z) y))
0.7b
(pow (cbrt (+ (/ x z) y)) 3)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
13×fma-def
12×cbrt-prod
9×times-frac
7×unpow-prod-down cube-prod
6×add-log-exp
5×pow1 add-exp-log
4×expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u distribute-lft-out
3×pow-unpow flip3-+ flip-+
2×cube-div pow-pow pow1/3
1×+-commutative cube-mult pow-to-exp unpow3 pow-exp sum-log fma-udef div-inv rem-cube-cbrt sqr-pow
Counts
4 → 89
Calls
4 calls:
33.0ms
(+ (/ x z) y)
0.0ms
(fma (/ x z) (- y) (pow (cbrt (+ (/ x z) y)) 3))
11.0ms
(cbrt (+ (/ x z) y))
45.0ms
(pow (cbrt (+ (/ x z) y)) 3)

series587.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (/ x z) y)
190.0ms
(fma (/ x z) (- y) (pow (cbrt (+ (/ x z) y)) 3))
203.0ms
(cbrt (+ (/ x z) y))
154.0ms
(pow (cbrt (+ (/ x z) y)) 3)

simplify4.8s

Counts
101 → 101
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01131120
1286908
2731818
34790788
done5000788

prune475.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ x (/ z y)))
4.2b
(/ x (/ z y))

rewrite309.0ms

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:
18.0ms
(+ (/ x z) y)
211.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
32.0ms
(/ x (/ z y))

series130.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (/ x z) y)
49.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
46.0ms
(/ x (/ z y))

simplify2.7s

Counts
311 → 311
Iterations

Useful iterations: done (2.6s)

IterNodesCost
051512532
1129611507
242218521
done50008457

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01538
12338
done2338

end0.0ms

sample918.0ms

Algorithm
intervals
Results
614.0ms10099×body80valid