Details

Time bar (total: 9.4s)

sample42.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22412
32812
done2812

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u associate-*r* associate-*l* associate-/r* log1p-expm1-u associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-exp prod-diff pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
28.0ms
(* 1.1283791670955126 (exp z))
12.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
24.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* 1.1283791670955126 (exp z))
69.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify716.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
0129955
1307918
21060850
done5000850

prune324.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ z (log 1.1283791670955126))
0.4b
(- (exp (+ z (log 1.1283791670955126))) (* x y))
7.5b
(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
9×times-frac
6×add-log-exp
5×add-exp-log add-cbrt-cube
4×pow1 fma-neg prod-diff
3×expm1-log1p-u associate-+r+ log-prod fma-def associate-/r* log1p-expm1-u associate-/l*
2×flip3-- exp-sum associate-/r/ flip-- distribute-lft-out
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp clear-num sum-log log-pow flip-+ div-inv
Counts
3 → 74
Calls
3 calls:
14.0ms
(+ z (log 1.1283791670955126))
112.0ms
(- (exp (+ z (log 1.1283791670955126))) (* x y))
94.0ms
(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

series542.0ms

Counts
3 → 9
Calls
3 calls:
225.0ms
(+ z (log 1.1283791670955126))
127.0ms
(- (exp (+ z (log 1.1283791670955126))) (* x y))
190.0ms
(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

simplify920.0ms

Counts
83 → 83
Iterations

Useful iterations: done (917.0ms)

IterNodesCost
01431104
13311002
21218912
done5001899

prune384.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.1b
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
18×add-exp-log
16×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l*
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip fma-neg diff-log div-sub prod-diff pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 146
Calls
4 calls:
11.0ms
(* 1.1283791670955126 (exp z))
33.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
24.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
48.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series292.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 1.1283791670955126 (exp z))
73.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
89.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
112.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.1s

Counts
158 → 158
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02352711
16102463
227662331
done50012122

prune468.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* 1.1283791670955126 (exp z)) y)
0.0b
(* 1.1283791670955126 (exp z))
0.1b
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity
18×times-frac
17×add-cube-cbrt
12×add-exp-log add-cbrt-cube
8×associate-/r*
6×pow1
4×div-exp associate-/l* distribute-lft-out-- difference-of-squares
3×cbrt-undiv expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod div-inv
1×rec-exp flip3-- pow-flip 1-exp pow-prod-down *-commutative flip-- inv-pow unswap-sqr
Counts
3 → 86
Calls
3 calls:
14.0ms
(/ (* 1.1283791670955126 (exp z)) y)
20.0ms
(* 1.1283791670955126 (exp z))
57.0ms
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series454.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (* 1.1283791670955126 (exp z)) y)
28.0ms
(* 1.1283791670955126 (exp z))
402.0ms
(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify986.0ms

Counts
95 → 95
Iterations

Useful iterations: done (982.0ms)

IterNodesCost
01641124
13731023
21482953
done5000940

prune300.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11512
done1512

end0.0ms

sample1.0s

Algorithm
intervals
Results
638.0ms8000×body80valid