Details

Time bar (total: 13.4s)

sample40.0ms

Algorithm
intervals
Results
18.0ms333×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
8.7b
(/ (+ x (* y (- z x))) z)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 77
Calls
2 calls:
40.0ms
(* y (- z x))
45.0ms
(/ (+ x (* y (- z x))) z)

series109.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* y (- z x))
59.0ms
(/ (+ x (* y (- z x))) z)

simplify1.0s

Counts
83 → 83
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01571235
13671050
21448866
done5001838

prune225.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
5.2b
(/ (* x y) z)

rewrite199.0ms

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:
30.0ms
(+ (/ x z) y)
152.0ms
(- (+ (/ x z) y) (/ (* x y) z))
10.0ms
(/ (* x y) z)

series105.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (/ x z) y)
49.0ms
(- (+ (/ x z) y) (/ (* x y) z))
32.0ms
(/ (* x y) z)

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01542085
14181756
220921440
done50021353

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (* (/ x z) y))
2.5b
(* (/ x z) y)
2.5b
(* (/ x z) y)

rewrite258.0ms

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:
22.0ms
(+ (/ x z) y)
179.0ms
(- (+ (/ x z) y) (* (/ x z) y))
28.0ms
(* (/ x z) y)
22.0ms
(* (/ x z) y)

series148.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (/ x z) y)
55.0ms
(- (+ (/ x z) y) (* (/ x z) y))
31.0ms
(* (/ x z) y)
29.0ms
(* (/ x z) y)

simplify2.1s

Counts
133 → 133
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01281215
13241131
218751062
done50001050

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (/ x z) y))
0.8b
(pow (cbrt (+ (/ x z) y)) 3)
2.5b
(* (/ x z) y)
3.6b
(fma (- x) (/ y z) (pow (cbrt (+ (/ x z) y)) 3))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
23×add-sqr-sqrt
18×add-cube-cbrt
13×associate-*l*
12×cbrt-prod
10×add-exp-log times-frac
9×add-cbrt-cube
7×pow1 unpow-prod-down cube-prod
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* distribute-lft-out
2×cube-div pow-pow flip3-+ pow1/3 prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv cube-mult pow-to-exp unpow3 div-exp pow-prod-down associate-*l/ pow-exp *-commutative fma-udef div-inv rem-cube-cbrt sqr-pow
Counts
4 → 96
Calls
4 calls:
12.0ms
(cbrt (+ (/ x z) y))
25.0ms
(pow (cbrt (+ (/ x z) y)) 3)
24.0ms
(* (/ x z) y)
1.0ms
(fma (- x) (/ y z) (pow (cbrt (+ (/ x z) y)) 3))

series445.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (+ (/ x z) y))
131.0ms
(pow (cbrt (+ (/ x z) y)) 3)
29.0ms
(* (/ x z) y)
129.0ms
(fma (- x) (/ y z) (pow (cbrt (+ (/ x z) y)) 3))

simplify1.6s

Counts
108 → 108
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01631252
14661038
22048930
done5000912

prune390.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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

sample1.1s

Algorithm
intervals
Results
546.0ms10117×body80valid