Details

Time bar (total: 6.8s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.8b
(- (* 1.1283791670955126 (exp z)) (* x y))
8.3b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×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:
12.0ms
(* 1.1283791670955126 (exp z))
91.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
24.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
40.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series288.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 1.1283791670955126 (exp z))
62.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
94.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
109.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify86.0ms

Counts
83 → 83

prune381.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.8b
(- (* 1.1283791670955126 (exp z)) (* x y))
2.8b
(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
5.7b
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt times-frac
33×add-cube-cbrt *-un-lft-identity
25×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l* add-log-exp
4×associate-/r/
3×cbrt-undiv flip3-- div-exp pow-prod-down associate-/r* flip-- unswap-sqr
2×div-inv
1×sub-neg frac-2neg pow1/3 diff-log associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt y)
19.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
44.0ms
(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
114.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

series906.0ms

Counts
4 → 12
Calls
4 calls:
329.0ms
(cbrt y)
107.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
331.0ms
(/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
138.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify79.0ms

Counts
123 → 123

prune709.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.6b
(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
8.9b
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
8.9b
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
8.9b
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 68
Calls
4 calls:
74.0ms
(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
10.0ms
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
17.0ms
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
16.0ms
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series973.0ms

Counts
4 → 12
Calls
4 calls:
453.0ms
(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
179.0ms
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
190.0ms
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
151.0ms
(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify97.0ms

Counts
80 → 80

prune464.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.5b
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.8b
(- (* 1.1283791670955126 (exp z)) (* x y))
8.3b
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative sub-neg pow-flip frac-2neg flip3-+ diff-log associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 94
Calls
4 calls:
12.0ms
(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
36.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
13.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
84.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series360.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
100.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
88.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
127.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify43.0ms

Counts
106 → 106

prune449.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes226.0ms

Accuracy

69.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify83.0ms

end0.0ms

sample882.0ms

Algorithm
intervals
Results
535.0ms8001×body80valid