Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1246
2286
3286

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)))

rewrite20.0ms

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

series151.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* 1.1283791670955126 (exp z))
60.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0290501
11077461
25001459

prune215.0ms

Filtered
76 candidates to 59 candidates (77.6%)
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)

rewrite38.0ms

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))
11.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series205.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 1.1283791670955126 (exp z))
47.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
59.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify70.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05471434
125261298
250021226

prune330.0ms

Filtered
158 candidates to 98 candidates (62.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
28×times-frac
26×add-cube-cbrt *-un-lft-identity
13×associate-*r* prod-diff
11×add-exp-log
10×add-cbrt-cube
6×pow1
5×add-log-exp
3×expm1-log1p-u associate-*r/ div-exp associate-*l* associate-/r* associate-/r/ log1p-expm1-u div-inv associate-/l*
2×cbrt-undiv flip3-- prod-exp frac-sub flip-- cbrt-unprod unswap-sqr
1×sub-neg rec-exp pow-flip frac-2neg fma-neg diff-log 1-exp pow-prod-down clear-num *-commutative inv-pow
Counts
3 → 99
Calls
3 calls:
10.0ms
(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
213.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
10.0ms
(* 1.1283791670955126 (/ (exp z) y))

series131.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
66.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
22.0ms
(* 1.1283791670955126 (/ (exp z) y))

simplify65.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0616947
12714668
25001663

prune242.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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)

rewrite155.0ms

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:
3.0ms
(+ z (log 1.1283791670955126))
39.0ms
(/ 1 (/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y))
35.0ms
(- (exp (+ z (log 1.1283791670955126))) (* x y))
72.0ms
(/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y)

series427.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(+ z (log 1.1283791670955126))
84.0ms
(/ 1 (/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y))
83.0ms
(- (exp (+ z (log 1.1283791670955126))) (* x y))
108.0ms
(/ (- (exp (+ z (log 1.1283791670955126))) (* x y)) y)

simplify74.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05751676
125441470
250011377

prune379.0ms

Filtered
165 candidates to 107 candidates (64.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes148.0ms

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
0167
1187
2187

end0.0ms

sample419.0ms

Algorithm
intervals
Results
244.0ms8000×body80valid