Details

Time bar (total: 9.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms329×body80valid

simplify42.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22812
34312
45012
55612
66112
76312
done6312

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
34.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series93.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
46.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01651542
13971481
211571348
339371275
done50011275

prune299.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
41.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series545.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt x)
172.0ms
(cbrt x)
183.0ms
(cbrt x)
21.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify675.0ms

Counts
102 → 102
Iterations

Useful iterations: done (672.0ms)

IterNodesCost
01251658
14121592
21868818
done5000814

prune307.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
22×times-frac
21×add-sqr-sqrt
16×add-cube-cbrt
13×associate-*l*
8×fma-neg prod-diff distribute-lft-out
7×add-exp-log add-cbrt-cube add-log-exp
5×div-inv
4×pow1 associate-*l/
3×associate-*r* frac-sub
2×expm1-log1p-u distribute-rgt-out diff-log prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- flip3-+ div-exp pow-prod-down frac-add associate--l+ sum-log *-commutative flip-- flip-+
Counts
2 → 69
Calls
2 calls:
154.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series66.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
20.0ms
(* (/ x y) z)

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01491056
13731009
21204876
34769799
done5000799

prune192.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(pow (/ (cbrt x) (cbrt y)) 3)
0.6b
(cbrt x)
3.0b
(* (pow (/ (cbrt x) (cbrt y)) 3) z)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
158×cbrt-prod
152×times-frac
140×add-sqr-sqrt
109×add-cube-cbrt *-un-lft-identity
86×associate-*l*
85×unpow-prod-down cube-prod
15×add-exp-log
12×unswap-sqr
7×add-cbrt-cube
5×pow1
4×expm1-log1p-u pow-exp prod-exp log1p-expm1-u div-inv add-log-exp
3×pow-unpow associate-*r* sqr-pow
2×cube-div cube-mult pow-to-exp pow1/3 unpow3 div-exp rem-cube-cbrt
1×cbrt-undiv pow-pow associate-*l/ *-commutative cbrt-unprod
Counts
4 → 245
Calls
4 calls:
0.0ms
(cbrt y)
12.0ms
(pow (/ (cbrt x) (cbrt y)) 3)
1.0ms
(cbrt x)
46.0ms
(* (pow (/ (cbrt x) (cbrt y)) 3) z)

series441.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
75.0ms
(pow (/ (cbrt x) (cbrt y)) 3)
171.0ms
(cbrt x)
21.0ms
(* (pow (/ (cbrt x) (cbrt y)) 3) z)

simplify875.0ms

Counts
257 → 257
Iterations

Useful iterations: 2 (331.0ms)

IterNodesCost
02553247
17442714
224232029
done50012029

prune515.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
11926
done1926

end0.0ms

sample523.0ms

Algorithm
intervals
Results
309.0ms10198×body80valid