Details

Time bar (total: 19.7s)

sample49.0ms

Algorithm
intervals
Results
25.0ms425×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01115
12314
25914
310914
420214
536314
682414
7187413
done500012

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:
23.0ms
(/ (+ x z) y)
0.0ms
(fma (/ (+ x z) y) (- x z) y)

series102.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (+ x z) y)
68.0ms
(fma (/ (+ x z) y) (- x z) y)

simplify3.3s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
082534
1165520
2420480
31029480
42996477
done5001477

prune190.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (* (+ x z) (/ 1 y)) (- x z) y)
0.2b
(* (+ x z) (/ 1 y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 associate-*l* prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-+ div-exp associate-*l/ cbrt-unprod flip-+ log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
1.0ms
(fma (* (+ x z) (/ 1 y)) (- x z) y)
60.0ms
(* (+ x z) (/ 1 y))

series126.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(fma (* (+ x z) (/ 1 y)) (- x z) y)
48.0ms
(* (+ x z) (/ 1 y))

simplify2.6s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0114685
1271555
2797476
32547470
done5000470

prune231.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x z))
0.1b
(fma (/ 1 (/ y (+ x z))) (- x z) y)
0.7b
(/ 1 (/ y (+ x z)))

rewrite50.0ms

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:
17.0ms
(/ y (+ x z))
0.0ms
(fma (/ 1 (/ y (+ x z))) (- x z) y)
18.0ms
(/ 1 (/ y (+ x z)))

series143.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ x z))
61.0ms
(fma (/ 1 (/ y (+ x z))) (- x z) y)
39.0ms
(/ 1 (/ y (+ x z)))

simplify2.8s

Counts
152 → 152
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01982026
14121728
28891497
324651456
done50001456

prune400.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)))

rewrite279.0ms

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:
169.0ms
(+ (/ (- x z) (/ y (+ x z))) y)
23.0ms
(/ y (+ x z))
69.0ms
(/ (- x z) (/ y (+ x z)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (/ (- x z) (/ y (+ x z))) y)
29.0ms
(/ y (+ x z))
69.0ms
(/ (- x z) (/ y (+ x z)))

simplify1.9s

Counts
287 → 287
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02583262
17023040
224212933
done50002897

prune997.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s13879×body80valid