Details

Time bar (total: 3.0s)

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1246
2286
3286

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.4b
(- (* 1.1283791670955126 (exp z)) (* x y))
9.0b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite17.0ms

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:
5.0ms
(* 1.1283791670955126 (exp z))
5.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* 1.1283791670955126 (exp z))
54.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0290501
11077461
25001459

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

localize10.0ms

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))
9.0b
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite30.0ms

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:
5.0ms
(* 1.1283791670955126 (exp z))
8.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series202.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* 1.1283791670955126 (exp z))
48.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
60.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
77.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify69.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05471434
125261298
250021226

prune320.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log
10×add-cbrt-cube
6×pow1
5×add-log-exp
3×expm1-log1p-u div-exp associate-*l* prod-diff associate-/r* log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- prod-exp associate-/r/ flip-- cbrt-unprod div-inv unswap-sqr
1×sub-neg rec-exp pow-flip frac-2neg fma-neg diff-log 1-exp associate-*r/ pow-prod-down clear-num *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
6.0ms
(- (* 1.1283791670955126 (/ (exp z) y)) x)
8.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms
(* 1.1283791670955126 (/ (exp z) y))

series132.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (* 1.1283791670955126 (/ (exp z) y)) x)
61.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
24.0ms
(* 1.1283791670955126 (/ (exp z) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0407645
11735576
25001555

prune205.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ z (log 1.1283791670955126))
0.1b
(/ 1 (/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y))
0.4b
(- (exp (+ z (log 1.1283791670955126))) (* x y))
9.0b
(/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
61×*-un-lft-identity
58×add-sqr-sqrt add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
7×add-log-exp
6×pow1 div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u fma-neg prod-diff log1p-expm1-u
3×associate-+r+ log-prod fma-def
2×rec-exp flip3-- frac-2neg 1-exp exp-sum clear-num flip-- associate-/l/ distribute-lft-out
1×+-commutative sub-neg pow-flip flip3-+ diff-log div-sub sum-log associate-/r/ log-pow flip-+ inv-pow
Counts
4 → 153
Calls
4 calls:
8.0ms
(+ z (log 1.1283791670955126))
9.0ms
(/ 1 (/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y))
7.0ms
(- (exp (+ z (log 1.1283791670955126))) (* x y))
9.0ms
(/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y)

series449.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(+ z (log 1.1283791670955126))
90.0ms
(/ 1 (/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y))
89.0ms
(- (exp (+ z (log 1.1283791670955126))) (* x y))
110.0ms
(/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y)

simplify69.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05751676
125441470
250011377

prune376.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample427.0ms

Algorithm
intervals
Results
259.0ms8000×body80valid