Details

Time bar (total: 16.3s)

sample31.0ms

Algorithm
intervals
Results
17.0ms426×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 8 (2.7s)

IterNodesCost
01115
12314
25814
310614
419114
534114
670414
7162813
8493912
done500012

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x z) y)
0.1b
(fma (/ (+ x z) y) (- x z) y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log add-cbrt-cube distribute-lft-out associate-/l*
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
8.0ms
(/ (+ x z) y)
0.0ms
(fma (/ (+ x z) y) (- x z) y)

series78.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ x z) y)
53.0ms
(fma (/ (+ x z) y) (- x z) y)

simplify2.0s

Counts
51 → 51
Iterations

Useful iterations: 4 (858.0ms)

IterNodesCost
082534
1165520
2400480
31026480
42956477
done5001477

prune158.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x z))
0.1b
(fma (/ 1 (/ y (+ x z))) (- x z) y)
0.8b
(/ 1 (/ y (+ x z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-+ flip-+
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-udef inv-pow
Counts
3 → 143
Calls
3 calls:
5.0ms
(/ y (+ x z))
0.0ms
(fma (/ 1 (/ y (+ x z))) (- x z) y)
10.0ms
(/ 1 (/ y (+ x z)))

series108.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ y (+ x z))
55.0ms
(fma (/ 1 (/ y (+ x z))) (- x z) y)
25.0ms
(/ 1 (/ y (+ x z)))

simplify2.7s

Counts
152 → 152
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01982026
14271782
211171497
329761456
done50001456

prune299.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- x z) (/ y (+ x z))) y)
0.0b
(/ y (+ x z))
0.2b
(/ (- x z) (/ y (+ x z)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
324×times-frac
288×*-un-lft-identity
212×add-sqr-sqrt
138×add-cube-cbrt
95×fma-def
38×distribute-lft-out
37×distribute-lft-out-- difference-of-squares
26×associate-/r/
22×associate-/r*
14×div-inv
13×flip3-+ flip-+
10×add-exp-log add-cbrt-cube
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg div-sub clear-num associate-/l/
1×+-commutative associate-+l- flip3-- sum-log flip--
Counts
3 → 278
Calls
3 calls:
88.0ms
(+ (/ (- x z) (/ y (+ x z))) y)
5.0ms
(/ y (+ x z))
19.0ms
(/ (- x z) (/ y (+ x z)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (/ (- x z) (/ y (+ x z))) y)
29.0ms
(/ y (+ x z))
59.0ms
(/ (- x z) (/ y (+ x z)))

simplify1.1s

Counts
287 → 287
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02583262
17143040
223582933
done50002929

prune735.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (/ (- x z) y) (/ 1 (+ x z))) y)
0.0b
(/ (- x z) y)
0.0b
(/ 1 (+ x z))
0.2b
(/ (/ (- x z) y) (/ 1 (+ x z)))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
1734×times-frac
1143×*-un-lft-identity
899×add-sqr-sqrt
669×add-cube-cbrt
347×fma-def
122×distribute-lft-out
115×distribute-lft-out-- difference-of-squares
82×associate-/r/
80×div-inv
41×flip3-+ flip-+
32×add-exp-log
27×associate-/l*
25×associate-/r*
20×add-cbrt-cube
19×div-exp
10×cbrt-undiv
6×add-log-exp
5×pow1 div-sub
4×expm1-log1p-u log1p-expm1-u
3×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×+-commutative associate-+l- flip3-- pow-flip sum-log flip-- inv-pow
Counts
4 → 847
Calls
4 calls:
231.0ms
(+ (/ (/ (- x z) y) (/ 1 (+ x z))) y)
9.0ms
(/ (- x z) y)
6.0ms
(/ 1 (+ x z))
26.0ms
(/ (/ (- x z) y) (/ 1 (+ x z)))

series467.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (/ (/ (- x z) y) (/ 1 (+ x z))) y)
299.0ms
(/ (- x z) y)
39.0ms
(/ 1 (+ x z))
73.0ms
(/ (/ (- x z) y) (/ 1 (+ x z)))

simplify1.6s

Counts
859 → 859
Iterations

Useful iterations: done (1.5s)

IterNodesCost
062311859
1185010373
done50009317

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample767.0ms

Algorithm
intervals
Results
477.0ms13657×body80valid