Details

Time bar (total: 3.2s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0156
1226
2226

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
9.0b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite19.0ms

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×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 59
Calls
3 calls:
5.0ms
(* 1.1283791670955126 (exp z))
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* 1.1283791670955126 (exp z))
58.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
79.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify153.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0268470
1994433
24728432
35001432

prune166.0ms

Filtered
68 candidates to 51 candidates (75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.0b
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
9.0b
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite28.0ms

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
3×associate-*r* associate-*l*
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 136
Calls
4 calls:
5.0ms
(* 1.1283791670955126 (exp z))
8.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series199.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 1.1283791670955126 (exp z))
47.0ms
(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
58.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms
(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify67.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05211391
124221259
250011188

prune283.0ms

Filtered
148 candidates to 89 candidates (60.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
13×associate-*r*
12×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/l*
4×div-exp
3×cbrt-undiv associate-*l* div-inv add-log-exp
2×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod unswap-sqr
1×rec-exp flip3-- pow-flip 1-exp associate-*r/ pow-prod-down *-commutative flip-- inv-pow
Counts
3 → 92
Calls
3 calls:
4.0ms
(/ (exp z) y)
8.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms
(* 1.1283791670955126 (/ (exp z) y))

series98.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/ (exp z) y)
62.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
20.0ms
(* 1.1283791670955126 (/ (exp z) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0369622
11531570
25002552

prune212.0ms

Filtered
101 candidates to 68 candidates (67.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
535×times-frac
312×add-sqr-sqrt
288×add-cube-cbrt *-un-lft-identity
269×sqrt-prod
137×associate-*r*
31×associate-/r*
24×add-exp-log
22×add-cbrt-cube
17×div-inv
12×associate-/l*
9×div-exp
8×cbrt-undiv
7×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×frac-2neg associate-*l* prod-exp clear-num cbrt-unprod
1×rec-exp flip3-- pow-flip 1-exp associate-*r/ pow-prod-down *-commutative flip-- inv-pow
Counts
4 → 410
Calls
4 calls:
5.0ms
(/ y (sqrt (exp z)))
11.0ms
(/ (sqrt (exp z)) (/ y (sqrt (exp z))))
23.0ms
(/ 1 (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x))
34.0ms
(* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z)))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ y (sqrt (exp z)))
21.0ms
(/ (sqrt (exp z)) (/ y (sqrt (exp z))))
60.0ms
(/ 1 (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x))
27.0ms
(* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
422 → 422
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011054781
150014265

prune852.0ms

Filtered
422 candidates to 218 candidates (51.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

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
01710
11710

end0.0ms

sample421.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid