Details

Time bar (total: 14.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms326×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2459
31129
42119
53249
64709
79649
847589
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.4b
(/ (* x (+ (- y z) 1.0)) z)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
39.0ms
(* x (+ (- y z) 1.0))
24.0ms
(/ (* x (+ (- y z) 1.0)) z)

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (+ (- y z) 1.0))
48.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.9s

Counts
57 → 57
Iterations

Useful iterations: 3 (783.0ms)

IterNodesCost
098645
1262625
2862531
34245520
done5001520

prune132.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ 1.0 y)) x)
4.4b
(* (/ x z) (+ 1.0 y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- fma-neg diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 61
Calls
2 calls:
8.0ms
(- (* (/ x z) (+ 1.0 y)) x)
15.0ms
(* (/ x z) (+ 1.0 y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* (/ x z) (+ 1.0 y)) x)
47.0ms
(* (/ x z) (+ 1.0 y))

simplify2.3s

Counts
67 → 67
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0133793
1407709
21192654
34968645
done5000645

prune168.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
19.0ms
(/ z (+ (- y z) 1.0))
23.0ms
(/ x (/ z (+ (- y z) 1.0)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ z (+ (- y z) 1.0))
51.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify846.0ms

Counts
149 → 149
Iterations

Useful iterations: done (841.0ms)

IterNodesCost
02042436
14632269
215212172
done50002167

prune335.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ 1.0 y) z)
0.0b
(- (* x (/ (+ 1.0 y) z)) x)
4.0b
(* x (/ (+ 1.0 y) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-/l*
3×expm1-log1p-u associate-*l* prod-diff associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ fma-neg diff-log associate-*r/ pow-prod-down clear-num *-commutative flip-- flip-+
Counts
3 → 90
Calls
3 calls:
8.0ms
(/ (+ 1.0 y) z)
6.0ms
(- (* x (/ (+ 1.0 y) z)) x)
15.0ms
(* x (/ (+ 1.0 y) z))

series117.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (+ 1.0 y) z)
45.0ms
(- (* x (/ (+ 1.0 y) z)) x)
42.0ms
(* x (/ (+ 1.0 y) z))

simplify1.7s

Counts
99 → 99
Iterations

Useful iterations: 3 (744.0ms)

IterNodesCost
01431092
1330998
2875916
32960890
done5000890

prune215.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

88.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch44.0ms

Steps
ItersRangePoint
7
8.775561080507127e+52
2.1741580015656699e+55
9.51832733313908e+52
2
-2.9618829731577474e+29
-2.575716735779771e+29
-2.8170706341410064e+29

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02338
12738
done2738

end0.0ms

sample460.0ms

Algorithm
intervals
Results
256.0ms10044×body80valid