Details

Time bar (total: 8.2s)

sample44.0ms

Algorithm
intervals
Results
20.0ms343×body80valid

simplify64.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.7b
(* (/ x y) z)

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
pow1 add-log-exp
distribute-lft-out associate-/l*
associate-*r* associate-*l/ associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
30.0ms
(/ (+ x 4.0) y)
79.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

series134.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (+ x 4.0) y)
68.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
35.0ms
(* (/ x y) z)

simplify611.0ms

Counts
88 → 88

prune216.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(* (/ x (cbrt y)) z)
3.3b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
rec-exp 1-exp
associate-*r* pow-prod-down associate-*l/ add-log-exp
unswap-sqr
pow1/3 *-commutative div-inv
frac-times associate-*r/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
21.0ms
(* (/ x (cbrt y)) z)
91.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series714.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt y)
263.0ms
(cbrt y)
190.0ms
(* (/ x (cbrt y)) z)
57.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify771.0ms

Counts
127 → 127

prune402.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

2.0b
(/ (- (+ x 4.0) (* x z)) y)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
106.0ms
(/ (- (+ x 4.0) (* x z)) y)

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify1.0s

Counts
33 → 33

prune103.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
9.9b
(cbrt (/ x y))
9.9b
(cbrt (/ x y))
9.9b
(cbrt (/ x y))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
associate-*l/
pow-prod-down prod-exp cbrt-unprod
frac-times
add-log-exp
pow1/3 associate-*r/ div-inv
associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
72.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
3.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series284.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
79.0ms
(cbrt (/ x y))
89.0ms
(cbrt (/ x y))
79.0ms
(cbrt (/ x y))

simplify1.1s

Counts
107 → 107

prune363.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

-45.5% (3.4b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 2.4b

bsearch65.0ms

Steps
ItersRangePoint
9
4.484610258400589e-41
1.3954144579548254e-33
1.851374073176425e-34
6
-7527803709.034921
-777501738.6454018
-2005867205.6988971

simplify449.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
693.0ms10133×body80valid