Details

Time bar (total: 13.7s)

sample48.0ms

Algorithm
intervals
Results
23.0ms325×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1158
2338
3638
41108
51628
62108
72498
84958
914118
done50018

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.2b
(* (/ x y) (- z t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
22.0ms
(+ (* (/ x y) (- z t)) t)
37.0ms
(* (/ x y) (- z t))

series111.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* (/ x y) (- z t)) t)
64.0ms
(* (/ x y) (- z t))

simplify2.1s

Counts
104 → 104
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01781645
15021330
224361142
done50021118

prune327.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
9.8b
(cbrt (/ x y))
9.8b
(cbrt (/ x y))
9.8b
(cbrt (/ x y))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×distribute-rgt-in distribute-lft-in
39×cbrt-prod cbrt-div
36×prod-diff
29×frac-times
27×times-frac
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 163
Calls
4 calls:
136.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
5.0ms
(cbrt (/ x y))
5.0ms
(cbrt (/ x y))
5.0ms
(cbrt (/ x y))

series328.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
75.0ms
(cbrt (/ x y))
91.0ms
(cbrt (/ x y))
100.0ms
(cbrt (/ x y))

simplify1.5s

Counts
175 → 175
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02804101
17943723
229952501
done50002055

prune450.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
2.2b
(cbrt (/ (cbrt x) y))
9.8b
(cbrt (/ x y))
9.8b
(cbrt (/ x y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(cbrt (/ (cbrt x) y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series640.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt x)
238.0ms
(cbrt (/ (cbrt x) y))
89.0ms
(cbrt (/ x y))
92.0ms
(cbrt (/ x y))

simplify1.4s

Counts
106 → 106
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0163987
1262942
2590887
32147868
done5000848

prune583.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

2.2b
(cbrt (/ (cbrt x) y))
2.2b
(cbrt (/ (cbrt x) y))
9.8b
(cbrt (/ x y))
9.8b
(cbrt (/ x y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
88×cbrt-prod
54×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
4 → 114
Calls
4 calls:
4.0ms
(cbrt (/ (cbrt x) y))
3.0ms
(cbrt (/ (cbrt x) y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series546.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (/ (cbrt x) y))
223.0ms
(cbrt (/ (cbrt x) y))
72.0ms
(cbrt (/ x y))
67.0ms
(cbrt (/ x y))

simplify712.0ms

Counts
126 → 126
Iterations

Useful iterations: done (707.0ms)

IterNodesCost
01531338
12361276
24581234
314361214
done50001192

prune709.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

-11.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.9b

bsearch82.0ms

Steps
ItersRangePoint
9
4.1216544050298406e-41
3.8275109869592044e-34
7.083437615144416e-41
5
-4.773503740140086e-220
-1.3213231972373414e-220
-2.8740139950628705e-220

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01735
12427
done2427

end0.0ms

sample1.1s

Algorithm
intervals
Results
496.0ms10638×body80valid