Details

Time bar (total: 4.3s)

sample32.0ms

Algorithm
intervals
Results
13.0ms334×body80valid

simplify59.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
10.9b
(/ (+ x (* y (- z x))) z)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
times-frac
add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
associate-*l* associate-/r* associate-/l*
flip3-+ associate-*r/ flip-+ associate-/l/
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 → 70
Calls
3 calls:
31.0ms
(* y (- z x))
11.0ms
(+ x (* y (- z x)))
46.0ms
(/ (+ x (* y (- z x))) z)

series145.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* y (- z x))
32.0ms
(+ x (* y (- z x)))
69.0ms
(/ (+ x (* y (- z x))) z)

simplify87.0ms

Counts
79 → 79

prune180.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
6.0b
(/ (* x y) z)

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-log-exp
add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt
pow1 times-frac associate-/r*
cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
3 → 52
Calls
3 calls:
16.0ms
(+ (/ x z) y)
130.0ms
(- (+ (/ x z) y) (/ (* x y) z))
15.0ms
(/ (* x y) z)

series86.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (/ x z) y)
37.0ms
(- (+ (/ x z) y) (/ (* x y) z))
24.0ms
(/ (* x y) z)

simplify36.0ms

Counts
61 → 61

prune145.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 unswap-sqr
add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
47.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series806.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt z)
254.0ms
(cbrt z)
253.0ms
(cbrt z)
61.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify60.0ms

Counts
104 → 104

prune656.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (* x (/ y z)))
8.1b
(* x (/ y z))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac add-log-exp
add-exp-log add-cbrt-cube
pow1
associate-*r/ associate-*l*
flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip-- div-inv distribute-lft-out
Counts
3 → 60
Calls
3 calls:
22.0ms
(+ (/ x z) y)
128.0ms
(- (+ (/ x z) y) (* x (/ y z)))
14.0ms
(* x (/ y z))

series98.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (/ x z) y)
40.0ms
(- (+ (/ x z) y) (* x (/ y z)))
32.0ms
(* x (/ y z))

simplify121.0ms

Counts
69 → 69

prune173.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

-239.1% (3.3b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 1.0b

bsearch63.0ms

Steps
ItersRangePoint
5
6.499669316531777e-36
1.7035810092560247e-35
8.885584462050694e-36
9
-5.050774879846227e+36
-3.816659722446006e+31
-1.9243331055553158e+33

simplify38.0ms

end0.0ms

sample875.0ms

Algorithm
intervals
Results
432.0ms10103×body80valid