Details

Time bar (total: 18.2s)

sample65.0ms

Algorithm
intervals
Results
35.0ms431×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01115
12314
25914
310914
420214
536314
682414
7187413
done500012

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
30.0ms
(/ (+ x z) y)
1.0ms
(fma (/ (+ x z) y) (- x z) y)

series149.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (+ x z) y)
108.0ms
(fma (/ (+ x z) y) (- x z) y)

simplify2.8s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
082534
1165520
2420480
31029480
42996477
done5001477

prune190.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x z))
0.1b
(fma (/ 1 (/ y (+ x z))) (- x z) y)
0.4b
(/ 1 (/ y (+ x z)))

rewrite71.0ms

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:
22.0ms
(/ y (+ x z))
1.0ms
(fma (/ 1 (/ y (+ x z))) (- x z) y)
37.0ms
(/ 1 (/ y (+ x z)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ y (+ x z))
58.0ms
(fma (/ 1 (/ y (+ x z))) (- x z) y)
27.0ms
(/ 1 (/ y (+ x z)))

simplify2.4s

Counts
152 → 152
Iterations

Useful iterations: 3 (741.0ms)

IterNodesCost
01982026
14121728
28891497
324651456
done50001456

prune325.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite206.0ms

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:
133.0ms
(+ (/ (- x z) (/ y (+ x z))) y)
12.0ms
(/ y (+ x z))
42.0ms
(/ (- x z) (/ y (+ x z)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (/ (- x z) (/ y (+ x z))) y)
36.0ms
(/ y (+ x z))
76.0ms
(/ (- x z) (/ y (+ x z)))

simplify1.6s

Counts
287 → 287
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02583262
17023040
224212933
done50002897

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
19.0ms
(/ (- x z) y)
0.0ms
(fma (/ (- x z) y) (+ z x) y)

series142.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (- x z) y)
103.0ms
(fma (/ (- x z) y) (+ z x) y)

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: done (1.6s)

IterNodesCost
094596
1199574
2498534
31380534
done5000531

prune221.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes172.0ms

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
11213
done1213

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.9s13585×body80valid