Details

Time bar (total: 8.6s)

sample39.0ms

Algorithm
intervals
Results
17.0ms325×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2469
31199
44089
515199
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.7b
(/ (* x (+ (- y z) 1.0)) z)

rewrite130.0ms

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:
88.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

series90.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (- y z) 1.0))
55.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify956.0ms

Counts
57 → 57
Iterations

Useful iterations: done (954.0ms)

IterNodesCost
098645
1280625
21311539
done5001531

prune129.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

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:
38.0ms
(/ z (+ (- y z) 1.0))
49.0ms
(/ x (/ z (+ (- y z) 1.0)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ z (+ (- y z) 1.0))
50.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.1s

Counts
149 → 149
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02042436
15282285
225542180
done50002177

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
0.0b
(fma (/ x z) 1.0 (/ (* x y) z))
7.0b
(/ (* x y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
9×prod-diff
8×add-exp-log add-cbrt-cube
5×add-log-exp
3×pow1 expm1-log1p-u times-frac fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp fma-udef
1×sub-neg flip3-- frac-2neg diff-log prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
7.0ms
(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
0.0ms
(fma (/ x z) 1.0 (/ (* x y) z))
10.0ms
(/ (* x y) z)

series148.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (fma (/ x z) 1.0 (/ (* x y) z)) x)
56.0ms
(fma (/ x z) 1.0 (/ (* x y) z))
28.0ms
(/ (* x y) z)

simplify821.0ms

Counts
71 → 71
Iterations

Useful iterations: done (817.0ms)

IterNodesCost
01141097
1258980
21173859
done5000782

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.1b
(* (/ x z) (+ (- y z) 1.0))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv distribute-rgt-in expm1-log1p-u distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp
Counts
1 → 42
Calls
1 calls:
118.0ms
(* (/ x z) (+ (- y z) 1.0))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify997.0ms

Counts
45 → 45
Iterations

Useful iterations: done (995.0ms)

IterNodesCost
096577
1351565
21655510
done5000506

prune135.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

96.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch74.0ms

Steps
ItersRangePoint
2
6.345396050147081e-21
7.349402576997952e-21
7.170043320155678e-21
9
-1.0251757777877082e+26
-1.4764217379799482e+20
-3.255737935546284e+25

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01938
12430
done2430

end0.0ms

sample1.2s

Algorithm
intervals
Results
761.0ms10107×body80valid