Details

Time bar (total: 2.5s)

sample27.0ms

Algorithm
intervals
Results
14.0ms331×body80valid

simplify57.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.6b
(/ (* x (+ (- y z) 1.0)) z)

rewrite122.0ms

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 flip3-+ div-exp prod-exp cbrt-unprod flip-+ 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 → 47
Calls
2 calls:
82.0ms
(* x (+ (- y z) 1.0))
38.0ms
(/ (* x (+ (- y z) 1.0)) z)

series83.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (+ (- y z) 1.0))
45.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify34.0ms

Counts
53 → 53

prune107.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.5b
(/ x (/ z (+ (- y z) 1.0)))

rewrite87.0ms

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 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
37.0ms
(/ z (+ (- y z) 1.0))
42.0ms
(/ x (/ z (+ (- y z) 1.0)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ z (+ (- y z) 1.0))
47.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify55.0ms

Counts
145 → 145

prune273.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
5.9b
(/ (* x y) z)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv diff-log div-exp sum-log
1×+-commutative sub-neg flip3-- frac-2neg flip3-+ associate-*r/ frac-add prod-exp associate--l+ clear-num flip-- cbrt-unprod flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 49
Calls
3 calls:
17.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
90.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
10.0ms
(/ (* x y) z)

series116.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
44.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
23.0ms
(/ (* x y) z)

simplify32.0ms

Counts
58 → 58

prune119.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ 1.0 y)) x)
3.5b
(* (/ x z) (+ 1.0 y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
15.0ms
(- (* (/ x z) (+ 1.0 y)) x)
32.0ms
(* (/ x z) (+ 1.0 y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* (/ x z) (+ 1.0 y)) x)
47.0ms
(* (/ x z) (+ 1.0 y))

simplify38.0ms

Counts
59 → 59

prune120.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

-20.3% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.5b

bsearch34.0ms

Steps
ItersRangePoint
8
5.242132222450432e-71
4.217990390014061e-67
1.5121353660828056e-70

simplify1.0ms

end0.0ms

sample754.0ms

Algorithm
intervals
Results
369.0ms10109×body80valid