Details

Time bar (total: 3.0s)

sample81.0ms

Algorithm
intervals
Results
47.0ms102×body5120exit
12.0ms262×body80valid
3.0ms11×body640valid
3.0ms5×body1280valid
1.0ms3×body320valid
0.0ms4×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0199
1199

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.0b
(+ 1.0 (exp x))
0.5b
(log (+ 1.0 (exp x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×log-prod
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log log-div associate--l+
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×associate--l-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log log-pow flip--
Counts
3 → 45
Calls
3 calls:
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
2.0ms
(+ 1.0 (exp x))
10.0ms
(log (+ 1.0 (exp x)))

simplify30.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05030508

prune83.0ms

Filtered
39 candidates to 54 candidates (-38.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New50454
Fresh000
Picked101
Done000
Total51455

Merged error: 0.2b

Counts
55 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(+ 1.0 (exp x))
1.2b
(log (sqrt (+ 1.0 (exp x))))
1.2b
(log (sqrt (+ 1.0 (exp x))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×log-prod
8×pow1 add-sqr-sqrt add-cube-cbrt sqrt-prod add-log-exp
6×add-exp-log log-pow
4×log-div flip3-+ sqrt-div add-cbrt-cube flip-+ distribute-lft-out
2×+-commutative sqrt-pow1 pow1/2 rem-log-exp sum-log
Counts
4 → 64
Calls
4 calls:
3.0ms
(+ 1.0 (exp x))
3.0ms
(+ 1.0 (exp x))
4.0ms
(log (sqrt (+ 1.0 (exp x))))
4.0ms
(log (sqrt (+ 1.0 (exp x))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ 1.0 (exp x))
2.0ms
(+ 1.0 (exp x))
13.0ms
(log (sqrt (+ 1.0 (exp x))))
13.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify55.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05517642

prune127.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done000
Total76480

Merged error: 0.2b

Counts
80 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (+ 2.0 (* x (* x 1/2))))
0.0b
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
7.5b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-log-exp
8×log-prod
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log log-div associate--l+
3×flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
2×associate--l-
1×+-commutative sub-neg associate-+r+ flip3-- diff-log rem-log-exp log-pow flip--
Counts
3 → 47
Calls
3 calls:
5.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
6.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series17.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
10.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05249868

prune94.0ms

Filtered
43 candidates to 56 candidates (-30.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh022
Picked101
Done011
Total55560

Merged error: 0.2b

Counts
60 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)) (* x y))
0.9b
(cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3))
0.9b
(pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)
7.5b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
10×pow1
8×unpow-prod-down cube-prod
6×add-exp-log add-log-exp
5×log-pow add-cbrt-cube
4×log-prod
3×pow-unpow
2×cube-mult log-div unpow3 sqr-pow
1×pow-to-exp sub-neg flip3-- pow-pow flip3-+ pow1/3 diff-log rem-log-exp pow-exp flip-- rem-cbrt-cube flip-+ distribute-lft-out rem-cube-cbrt
Counts
4 → 75
Calls
4 calls:
6.0ms
(- (cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)) (* x y))
2.0ms
(cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3))
3.0ms
(pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)) (* x y))
4.0ms
(cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3))
12.0ms
(pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049961579
149961579

prune125.0ms

Filtered
55 candidates to 87 candidates (-58.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh123
Picked101
Done011
Total87592

Merged error: 0.2b

Counts
92 → 5

regimes91.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
11217

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s2435×body5120exit
379.0ms8449×body80valid
77.0ms262×body640valid
65.0ms123×body1280valid
31.0ms172×body320valid
12.0ms110×body160valid

Profiling

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