Details

Time bar (total: 2.8s)

sample29.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b
(* 1.1283791670955126 (exp z))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
times-frac
add-cbrt-cube add-log-exp
add-exp-log
pow1
associate-*r* associate-*l* associate-/r* associate-/l*
flip3-- associate-/r/ flip--
cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 71
Calls
4 calls:
48.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
12.0ms
(* 1.1283791670955126 (exp z))
13.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms
(* 1.1283791670955126 (exp z))
65.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
85.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify37.0ms

Counts
83 → 83

prune213.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.3b
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
18×add-exp-log associate-*r*
13×add-cbrt-cube
pow1
associate-*l* add-log-exp
prod-exp
div-exp associate-/r/ unswap-sqr
flip3-- associate-/r* flip-- cbrt-unprod associate-/l*
cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 101
Calls
4 calls:
12.0ms
(* 1.1283791670955126 (exp z))
27.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
13.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
61.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 1.1283791670955126 (exp z))
71.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
60.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
85.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify53.0ms

Counts
113 → 113

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.0b
(* 1.1283791670955126 (exp z))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt
times-frac
add-cbrt-cube add-log-exp
add-exp-log
pow1
associate-*r* associate-*l* associate-/r* associate-/l*
flip3-- associate-/r/ flip--
cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 71
Calls
4 calls:
6.0ms
(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
13.0ms
(* 1.1283791670955126 (exp z))
18.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ x (* 1 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
23.0ms
(* 1.1283791670955126 (exp z))
61.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
83.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify42.0ms

Counts
83 → 83

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1 x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
add-log-exp difference-of-squares
times-frac distribute-lft-out--
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- div-inv
Counts
1 → 17
Calls
1 calls:
11.0ms
(- x (/ 1 x))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(- x (/ 1 x))

simplify64.0ms

Counts
20 → 20

prune32.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

62.7% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.0b

bsearch47.0ms

Steps
ItersRangePoint
10
-2.8897456288171165e+31
-1.4748069476452327e+19
-1.7240082885981938e+22

simplify1.0ms

end0.0ms

sample692.0ms

Algorithm
intervals
Results
440.0ms8000×body80valid