Details

Time bar (total: 13.9s)

sample43.0ms

Algorithm
intervals
Results
17.0ms331×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2469
31199
44089
515199
done50019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
12.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite231.0ms

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:
149.0ms
(* x (+ (- y z) 1.0))
77.0ms
(/ (* x (+ (- y z) 1.0)) z)

series128.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* x (+ (- y z) 1.0))
69.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.5s

Counts
57 → 57
Iterations

Useful iterations: done (1.5s)

IterNodesCost
098645
1280625
21311539
done5001531

prune282.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite170.0ms

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:
74.0ms
(/ z (+ (- y z) 1.0))
83.0ms
(/ x (/ z (+ (- y z) 1.0)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(/ z (+ (- y z) 1.0))
65.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.5s

Counts
149 → 149
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02042436
15282285
225542180
done50002177

prune763.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

7.8b
(* (/ x z) (+ (- y z) 1.0))

rewrite157.0ms

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:
154.0ms
(* (/ x z) (+ (- y z) 1.0))

series71.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify1.2s

Counts
45 → 45
Iterations

Useful iterations: done (1.2s)

IterNodesCost
096577
1351565
21655510
done5000506

prune209.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
12.9b
(* (/ 1 z) (* x (+ (- y z) 1.0)))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×*-un-lft-identity associate-*l* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt
9×pow1 times-frac
8×associate-*r/
7×cbrt-unprod
6×associate-*r*
5×distribute-rgt-in distribute-lft-in
4×div-exp pow-prod-down
3×flip3-+ flip-+
2×cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp *-commutative log1p-expm1-u distribute-lft-out add-log-exp
1×associate-*l/ div-inv distribute-lft-out-- unswap-sqr
Counts
2 → 73
Calls
2 calls:
115.0ms
(* x (+ (- y z) 1.0))
128.0ms
(* (/ 1 z) (* x (+ (- y z) 1.0)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (+ (- y z) 1.0))
68.0ms
(* (/ 1 z) (* x (+ (- y z) 1.0)))

simplify2.9s

Counts
79 → 79
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01391055
14501010
22854793
done5000789

prune307.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes261.0ms

Accuracy

87.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.3b

bsearch121.0ms

Steps
ItersRangePoint
9
2.30266622583855e-133
6.959319054786122e-126
6.815802930557607e-126
9
-15747956840391.21
-44869037.468994394
-395330988786.38336

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01635
12127
done2127

end0.0ms

sample1.2s

Algorithm
intervals
Results
650.0ms10130×body80valid