Details

Time bar (total: 5.7s)

sample95.0ms

Algorithm
intervals
Results
29.0ms46×body1280valid
15.0ms49×body640valid
8.0ms120×body80valid
6.0ms31×body320valid
6.0ms64×body80nan
2.0ms49×body80overflowed
2.0msbody1280nan
1.0ms10×body160valid
1.0msbody640nan
0.0msbody320nan
0.0msbody160nan

simplify214.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1337
2497
3717
4937
51807
62327
74117
86287
99357
1010287
1113547
1239687
1350027

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.3b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp z))
0.0b
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.1b
(+ (- 1.0 y) (* y (exp z)))
2.4b
(log (+ (- 1.0 y) (* y (exp z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×times-frac
11×pow1
add-log-exp
add-exp-log add-cbrt-cube
log-pow
log-div associate-/l*
log-prod flip3-+ associate-*r* associate-*l* associate-/r* flip-+
associate-+l+ div-sub sum-log
cbrt-undiv +-commutative associate-+l- sub-neg frac-2neg diff-log div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 80
Calls
4 calls:
4.0ms
(* y (exp z))
7.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms
(+ (- 1.0 y) (* y (exp z)))
5.0ms
(log (+ (- 1.0 y) (* y (exp z))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* y (exp z))
37.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms
(+ (- 1.0 y) (* y (exp z)))
16.0ms
(log (+ (- 1.0 y) (* y (exp z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0452795
11740733
25002726

prune148.0ms

Filtered
68 candidates to 92 candidates (-35.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87592
Fresh000
Picked101
Done000
Total88593

Merged error: 3.8b

Counts
93 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (exp z) 1) y)
0.0b
(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.2b
(log (+ 1.0 (* (- (exp z) 1) y)))
3.1b
(- (exp z) 1)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×*-un-lft-identity
16×add-cube-cbrt
12×times-frac
11×pow1
add-exp-log
add-cbrt-cube
associate-*l*
add-log-exp
log-pow
log-div associate-/l* difference-of-squares
log-prod associate-*r* associate-/r*
flip3-- flip3-+ difference-of-sqr-1 div-sub associate-*l/ flip-- flip-+ distribute-lft-out--
cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (- (exp z) 1) y)
5.0ms
(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.0ms
(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms
(- (exp z) 1)

series51.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (- (exp z) 1) y)
29.0ms
(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
12.0ms
(log (+ 1.0 (* (- (exp z) 1) y)))
2.0ms
(- (exp z) 1)

simplify52.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0446788
11782732
25001724

prune144.0ms

Filtered
70 candidates to 99 candidates (-41.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New97299
Fresh134
Picked101
Done000
Total995104

Merged error: 3.7b

Counts
104 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

3.4b
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.3b
(/ (* z y) t)
7.4b
(* (pow z 2) y)
7.9b
(/ (* (pow z 2) y) t)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
17×add-sqr-sqrt
16×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
add-log-exp
associate-*l*
prod-exp
times-frac div-exp associate-/r*
pow1 cbrt-undiv unpow-prod-down associate-*r/ frac-add unswap-sqr
associate-*r* sum-log cbrt-unprod
pow-to-exp frac-2neg flip3-+ pow-exp clear-num flip-+ div-inv associate-/l* unpow2 sqr-pow
+-commutative associate-+r+ *-commutative
Counts
4 → 87
Calls
4 calls:
12.0ms
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.0ms
(/ (* z y) t)
5.0ms
(* (pow z 2) y)
6.0ms
(/ (* (pow z 2) y) t)

series34.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
7.0ms
(/ (* z y) t)
4.0ms
(* (pow z 2) y)
6.0ms
(/ (* (pow z 2) y) t)

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0493659
12291586
25001586

prune171.0ms

Filtered
66 candidates to 99 candidates (-50.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New96399
Fresh044
Picked101
Done000
Total977104

Merged error: 2.9b

Counts
104 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

7.9b
(/ (* (pow z 2) y) t)
20.7b
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
20.7b
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
20.7b
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
14×add-exp-log
12×associate-*r/ frac-add
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
flip3-+ flip-+
pow1 div-exp add-log-exp
times-frac pow1/3 prod-exp associate-/r*
cbrt-undiv
pow-to-exp frac-2neg pow-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
6.0ms
(/ (* (pow z 2) y) t)
11.0ms
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
13.0ms
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
11.0ms
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

series152.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (* (pow z 2) y) t)
48.0ms
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
51.0ms
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))
48.0ms
(cbrt (+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04921720
119751589
250011583

prune438.0ms

Filtered
70 candidates to 83 candidates (-18.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New82183
Fresh066
Picked101
Done000
Total83790

Merged error: 2.9b

Counts
90 → 7

regimes736.0ms

Accuracy

73.4% (5.0b remaining)

Error of 8.7b against oracle of 3.7b and baseline of 22.7b

bsearch109.0ms

Steps
ItersRangePoint
10
3.943439841995633e-118
8.453347122454211e-104
5.414319638550461e-116
6
-2.695490855295275e-13
-2.316271773442873e-14
-9.738790580666473e-14

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06332
16332

end0.0ms

sample2.9s

Algorithm
intervals
Results
853.0ms1472×body1280valid
505.0ms1512×body640valid
248.0ms3602×body80valid
195.0ms920×body320valid
119.0ms2518×body80nan
108.0ms77×body2560valid
81.0ms1515×body80overflowed
68.0ms289×body640nan
59.0ms454×body160valid
38.0ms107×body1280nan
30.0ms187×body320nan
11.0ms110×body160nan

Profiling

Loading profile data...