Details

Time bar (total: 2.8s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

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))
0.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
8.2b
(/ 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×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))
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* 1.1283791670955126 (exp z))
59.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms
(/ 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

prune203.0ms

Filtered
76 candidates to 59 candidates (77.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ z (log 1.1283791670955126)))
0.0b
(+ z (log 1.1283791670955126))
0.2b
(- (exp (+ z (log 1.1283791670955126))) (* x y))
8.2b
(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
9×times-frac add-log-exp
6×pow1 add-exp-log add-cbrt-cube
5×exp-prod
4×expm1-log1p-u fma-neg prod-diff log1p-expm1-u distribute-lft-out
3×associate-+r+ log-prod fma-def exp-sum associate-/r* associate-/l*
2×flip3-- sum-log associate-/r/ log-pow flip-- rem-exp-log
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
10.0ms
(exp (+ z (log 1.1283791670955126)))
3.0ms
(+ z (log 1.1283791670955126))
35.0ms
(- (exp (+ z (log 1.1283791670955126))) (* x y))
37.0ms
(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(exp (+ z (log 1.1283791670955126)))
152.0ms
(+ z (log 1.1283791670955126))
86.0ms
(- (exp (+ z (log 1.1283791670955126))) (* x y))
144.0ms
(/ y (- (exp (+ z (log 1.1283791670955126))) (* x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0328681
11149603
25001590

prune290.0ms

Filtered
103 candidates to 77 candidates (74.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (/ (fma (exp z) 1.1283791670955126 (- (* x y))) y))
0.2b
(fma (exp z) 1.1283791670955126 (- (* x y)))
8.2b
(/ (fma (exp z) 1.1283791670955126 (- (* x y))) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/r/ fma-udef inv-pow
Counts
3 → 117
Calls
3 calls:
5.0ms
(/ 1 (/ (fma (exp z) 1.1283791670955126 (- (* x y))) y))
0.0ms
(fma (exp z) 1.1283791670955126 (- (* x y)))
2.0ms
(/ (fma (exp z) 1.1283791670955126 (- (* x y))) y)

series189.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ 1 (/ (fma (exp z) 1.1283791670955126 (- (* x y))) y))
62.0ms
(fma (exp z) 1.1283791670955126 (- (* x y)))
76.0ms
(/ (fma (exp z) 1.1283791670955126 (- (* x y))) y)

simplify60.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04001295
117961169
250021093

prune281.0ms

Filtered
126 candidates to 77 candidates (61.1%)
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)
0.1b
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.2b
(* 1.1283791670955126 (/ (exp z) y))

rewrite29.0ms

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 expm1-log1p-u associate-*l* log1p-expm1-u 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 → 98
Calls
3 calls:
3.0ms
(/ (exp z) y)
13.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms
(* 1.1283791670955126 (/ (exp z) y))

series105.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/ (exp z) y)
62.0ms
(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
25.0ms
(* 1.1283791670955126 (/ (exp z) y))

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0382646
11582593
25002574

prune243.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes76.0ms

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

sample413.0ms

Algorithm
intervals
Results
249.0ms8000×body80valid