Details

Time bar (total: 10.3s)

sample24.0ms

Algorithm
intervals
Results
10.0ms325×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
079
1119
2208
3368
4618
5908
61138
71508
83548
912378
done50008

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
10.7b
(/ (+ x (* y (- z x))) z)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×sub-neg
3×expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 115
Calls
3 calls:
14.0ms
(+ x (* y (- z x)))
25.0ms
(* y (- z x))
38.0ms
(/ (+ x (* y (- z x))) z)

series141.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (* y (- z x)))
54.0ms
(* y (- z x))
52.0ms
(/ (+ x (* y (- z x))) z)

simplify858.0ms

Counts
124 → 124
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
01871725
14351459
216521179
done50011128

prune311.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
7.0b
(/ (* x y) z)

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
30×add-sqr-sqrt
28×add-cube-cbrt prod-diff
24×times-frac
13×fma-def
10×distribute-lft-out add-log-exp
8×add-exp-log add-cbrt-cube
6×div-inv
4×fma-neg
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* difference-of-squares
Counts
3 → 103
Calls
3 calls:
18.0ms
(+ (/ x z) y)
155.0ms
(- (+ (/ x z) y) (/ (* x y) z))
14.0ms
(/ (* x y) z)

series81.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (/ x z) y)
36.0ms
(- (+ (/ x z) y) (/ (* x y) z))
23.0ms
(/ (* x y) z)

simplify1.1s

Counts
112 → 112
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01542085
14181756
220921440
done50021353

prune253.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (* (/ x z) y))
2.2b
(* (/ x z) y)
2.2b
(* (/ x z) y)

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
29×add-cube-cbrt times-frac
26×associate-*l*
14×add-exp-log add-cbrt-cube
13×fma-def
11×add-log-exp
8×pow1
6×associate-*r*
4×expm1-log1p-u fma-neg prod-diff associate-*l/ prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
3×div-inv distribute-lft-out
2×cbrt-undiv flip3-+ diff-log div-exp pow-prod-down sum-log *-commutative frac-sub flip-+
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 121
Calls
4 calls:
23.0ms
(+ (/ x z) y)
173.0ms
(- (+ (/ x z) y) (* (/ x z) y))
16.0ms
(* (/ x z) y)
17.0ms
(* (/ x z) y)

series116.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (/ x z) y)
34.0ms
(- (+ (/ x z) y) (* (/ x z) y))
28.0ms
(* (/ x z) y)
30.0ms
(* (/ x z) y)

simplify2.0s

Counts
133 → 133
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01281215
13241131
218751062
done50001050

prune447.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (/ x z) y)
2.2b
(* (/ x z) y)
2.2b
(* (/ x z) y)
2.2b
(* (/ x z) y)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
52×associate-*l*
40×times-frac
36×add-cube-cbrt *-un-lft-identity
24×add-exp-log add-cbrt-cube
12×pow1 associate-*r*
8×prod-exp cbrt-unprod unswap-sqr
4×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
4 → 136
Calls
4 calls:
16.0ms
(* (/ x z) y)
15.0ms
(* (/ x z) y)
16.0ms
(* (/ x z) y)
20.0ms
(* (/ x z) y)

series112.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (/ x z) y)
25.0ms
(* (/ x z) y)
24.0ms
(* (/ x z) y)
30.0ms
(* (/ x z) y)

simplify461.0ms

Counts
148 → 148
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0691092
11581072
2754944
done5001944

prune410.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11419
done1419

end0.0ms

sample919.0ms

Algorithm
intervals
Results
465.0ms10107×body80valid