Details

Time bar (total: 18.7s)

sample50.0ms

Algorithm
intervals
Results
28.0ms424×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01115
12314
25914
310914
420214
536314
682414
7187413
done500012

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:
19.0ms
(/ (+ x z) y)
0.0ms
(fma (/ (+ x z) y) (- x z) y)

series103.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ x z) y)
78.0ms
(fma (/ (+ x z) y) (- x z) y)

simplify3.0s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
082534
1165520
2420480
31029480
42996477
done5001477

prune232.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
52×add-sqr-sqrt
45×add-cube-cbrt
36×prod-diff
25×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
16×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*r* add-log-exp
4×sub-neg associate-/l*
3×expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg pow-prod-down associate-*l/ clear-num sum-log *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 136
Calls
3 calls:
44.0ms
(+ (* (/ (+ x z) y) (- x z)) y)
33.0ms
(/ (+ x z) y)
89.0ms
(* (/ (+ x z) y) (- x z))

series247.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (* (/ (+ x z) y) (- x z)) y)
48.0ms
(/ (+ x z) y)
105.0ms
(* (/ (+ x z) y) (- x z))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02072294
15211944
215301729
done50001697

prune449.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
186×*-un-lft-identity
148×add-sqr-sqrt
132×add-cube-cbrt
59×associate-*l*
36×add-exp-log prod-diff
25×distribute-lft-out
22×distribute-rgt-in associate-+l+ distribute-lft-in associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-+ flip-+
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp
5×associate-*r* unswap-sqr
4×expm1-log1p-u sub-neg rec-exp 1-exp log1p-expm1-u
3×cbrt-unprod
2×frac-times flip3-- frac-2neg associate-*r/ clear-num flip--
1×+-commutative pow-flip fma-def pow-prod-down associate-*l/ sum-log *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 286
Calls
4 calls:
37.0ms
(+ (* (/ 1 (/ y (+ x z))) (- x z)) y)
17.0ms
(/ y (+ x z))
77.0ms
(* (/ 1 (/ y (+ x z))) (- x z))
30.0ms
(/ 1 (/ y (+ x z)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ (* (/ 1 (/ y (+ x z))) (- x z)) y)
45.0ms
(/ y (+ x z))
101.0ms
(* (/ 1 (/ y (+ x z))) (- x z))
29.0ms
(/ 1 (/ y (+ x z)))

simplify2.1s

Counts
298 → 298
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03614769
18673841
222803288
done50003213

prune915.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite629.0ms

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:
550.0ms
(+ (/ (- x z) (/ y (+ x z))) y)
19.0ms
(/ y (+ x z))
39.0ms
(/ (- x z) (/ y (+ x z)))

series200.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (/ (- x z) (/ y (+ x z))) y)
51.0ms
(/ y (+ x z))
90.0ms
(/ (- x z) (/ y (+ x z)))

simplify1.7s

Counts
287 → 287
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02583262
17023040
224212933
done50002897

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01013
11313
done1313

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s13623×body80valid