Details

Time bar (total: 4.0s)

sample69.0ms

Algorithm
intervals
Results
33.0ms73×body1280valid
15.0ms55×body640valid
5.0ms14×body2560valid
4.0ms23×body320valid
3.0ms79×body80valid
1.0ms12×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
095
195

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 52.2b

Counts
2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) 1.0)
1.0b
(+ x (sqrt (+ (* x x) 1.0)))
3.0b
(log (+ x (sqrt (+ (* x x) 1.0))))
13.8b
(sqrt (+ (* x x) 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-log-exp
7×add-sqr-sqrt
6×pow1 add-cube-cbrt
5×add-exp-log
4×log-prod flip3-+ add-cbrt-cube flip-+
3×sqrt-prod
2×+-commutative log-div sqrt-div sum-log distribute-lft-out
1×rem-sqrt-square sqrt-pow1 pow1/2 rem-log-exp log-pow
Counts
4 → 53
Calls
4 calls:
4.0ms
(+ (* x x) 1.0)
5.0ms
(+ x (sqrt (+ (* x x) 1.0)))
6.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
7.0ms
(sqrt (+ (* x x) 1.0))

series21.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* x x) 1.0)
5.0ms
(+ x (sqrt (+ (* x x) 1.0)))
9.0ms
(log (+ x (sqrt (+ (* x x) 1.0))))
4.0ms
(sqrt (+ (* x x) 1.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0333450
11163414
25001398

prune120.0ms

Filtered
53 candidates to 65 candidates (-22.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New62365
Fresh000
Picked101
Done000
Total63366

Merged error: 0.0b

Counts
66 → 3

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
220×associate-*r*
181×add-sqr-sqrt
140×unpow-prod-down cube-prod
117×add-cube-cbrt *-un-lft-identity
80×sqrt-prod
40×sqr-pow
30×cube-mult unpow3
25×unswap-sqr
24×add-exp-log
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 270
Calls
1 calls:
53.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

simplify90.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07251757
138321368
250011368

prune346.0ms

Filtered
95 candidates to 273 candidates (-187.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2730273
Fresh022
Picked011
Done000
Total2733276

Merged error: 0.0b

Counts
276 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 0.125 (pow x 3))
11.4b
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
36×times-frac
28×add-sqr-sqrt add-cube-cbrt
12×unpow-prod-down cube-prod associate-/r*
8×add-exp-log
6×log-prod
4×cube-mult unpow3 add-cbrt-cube distribute-lft-out sqr-pow
3×pow1 div-exp associate-/l*
2×log-div distribute-lft-out-- add-log-exp
1×cbrt-undiv pow-to-exp frac-2neg flip3-+ rem-log-exp pow-exp clear-num log-pow flip-+ div-inv
Counts
2 → 82
Calls
2 calls:
5.0ms
(/ 0.125 (pow x 3))
22.0ms
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 0.125 (pow x 3))
9.0ms
(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325535
11471499
25001499

prune102.0ms

Filtered
50 candidates to 88 candidates (-76.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done011
Total88391

Merged error: 0.0b

Counts
91 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (neg 0.0625) (pow x 5))
0.2b
(/ 0.125 (pow x 3))
12.6b
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
18.9b
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
110×*-un-lft-identity
102×add-sqr-sqrt
76×add-cube-cbrt
47×unpow-prod-down
26×distribute-rgt-neg-in
24×distribute-lft-neg-in
19×associate-/r*
17×sqr-pow
15×add-exp-log
14×cube-prod distribute-lft-out--
13×associate-/l*
12×log-prod
10×difference-of-squares
9×add-log-exp
8×neg-mul-1 frac-sub add-cbrt-cube
6×div-exp
5×pow1 log-div
4×cube-mult flip3-- unpow3 flip--
3×diff-log associate--r+
2×cbrt-undiv neg-sub0 pow-to-exp sub-neg frac-2neg div-sub pow-exp clear-num div-inv associate--r-
1×distribute-frac-neg rem-log-exp log-pow
Counts
4 → 223
Calls
4 calls:
6.0ms
(/ (neg 0.0625) (pow x 5))
5.0ms
(/ 0.125 (pow x 3))
71.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
72.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (neg 0.0625) (pow x 5))
4.0ms
(/ 0.125 (pow x 3))
10.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
5.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

simplify102.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08371963
137941884
250021876

prune427.0ms

Filtered
152 candidates to 235 candidates (-54.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2350235
Fresh000
Picked011
Done022
Total2353238

Merged error: 0.0b

Counts
238 → 3

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 32.3b

bsearch38.0ms

Steps
ItersRangePoint
10
0.00031157581617804726
87511408.73844521
0.8849853411469668
11
-374259092491.182
-4.855216633276153e-12
-0.997702559562091

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04127
14127

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s2331×body1280valid
442.0ms1580×body640valid
261.0ms789×body2560valid
122.0ms737×body320valid
91.0ms2145×body80valid
43.0ms418×body160valid

Profiling

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