Details

Time bar (total: 1.6s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.9b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

13.9b
(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ x (+ (* x x) 1.0))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ x (+ (* x x) 1.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0165210
1555195
21825192
35001192

prune54.0ms

Filtered
32 candidates to 26 candidates (18.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New29332
Fresh000
Picked101
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
0.0b
(/ x (sqrt (+ (* x x) 1.0)))
13.8b
(sqrt (+ (* x x) 1.0))
13.8b
(sqrt (+ (* x x) 1.0))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 262
Calls
4 calls:
16.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
9.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series19.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
7.0ms
(/ x (sqrt (+ (* x x) 1.0)))
3.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07743880
129563482
250013411

prune324.0ms

Filtered
274 candidates to 147 candidates (46.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2740274
Fresh022
Picked011
Done000
Total2743277

Merged error: 0b

Counts
277 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (+ (* x x) 1.0))
13.4b
(* x (/ 1 (+ (* x x) 1.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
7.0ms
(/ 1 (+ (* x x) 1.0))
10.0ms
(* x (/ 1 (+ (* x x) 1.0)))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1 (+ (* x x) 1.0))
4.0ms
(* x (/ 1 (+ (* x x) 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0316468
11443408
25001372

prune70.0ms

Filtered
77 candidates to 47 candidates (39.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done011
Total77380

Merged error: 0b

Counts
80 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.1b
(/ 1 (pow x 5))
0.2b
(/ 1 (pow x 3))
20.4b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
173×times-frac
112×*-un-lft-identity
63×difference-of-squares
56×unpow-prod-down
47×add-cube-cbrt
40×sqr-pow
26×cube-prod
22×add-exp-log
19×associate-/r*
12×div-exp
8×add-cbrt-cube add-log-exp
7×distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
4×pow1 cube-mult associate-+l+ unpow3
3×sub-neg associate-*r/ frac-add
2×cbrt-undiv distribute-rgt-in flip3-- pow-flip frac-2neg distribute-lft-in clear-num frac-sub flip-- inv-pow
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 227
Calls
4 calls:
55.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
5.0ms
(/ 1 (pow x 5))
6.0ms
(/ 1 (pow x 3))
48.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
4.0ms
(/ 1 (pow x 5))
3.0ms
(/ 1 (pow x 3))
8.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify92.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06871905
128791620
250011619

prune216.0ms

Filtered
239 candidates to 92 candidates (61.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2390239
Fresh000
Picked011
Done022
Total2393242

Merged error: 0b

Counts
242 → 3

regimes37.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.7b

bsearch21.0ms

Steps
ItersRangePoint
10
6.296263866195351e-10
4429.475794956495
408.8680450050506
7
-29442900.95678969
-481781.8837170955
-4212822.876435145

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03216
13216

end0.0ms

sample292.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid

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