Details

Time bar (total: 2.3s)

sample37.0ms

Algorithm
intervals
Results
12.0ms274×body80valid
4.0ms6×body1280valid
3.0ms82×body80overflowed
3.0ms9×body640valid
1.0ms6×body320valid
0.0ms1×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
059739

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.0b
(+ 1.0 (exp x))
0.0b
(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:
10.0ms
(- (log (+ 1.0 (exp x))) (* x y))
2.0ms
(+ 1.0 (exp x))
11.0ms
(log (+ 1.0 (exp x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04843508
14843508

prune79.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New51354
Fresh000
Picked011
Done000
Total51455

Merged error: 0.0b

Counts
55 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (+ 1.0 (exp x)))
0.7b
(sqrt (log (+ 1.0 (exp x))))
0.7b
(sqrt (log (+ 1.0 (exp x))))
0.7b
(* (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
30×pow1
29×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×log-pow
7×add-exp-log associate-*r* associate-*l*
6×add-cbrt-cube
5×pow-prod-up
4×log-prod add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square log-div
1×pow2 flip3-+ pow-plus sqrt-unprod rem-log-exp prod-exp rem-square-sqrt *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
3.0ms
(log (+ 1.0 (exp x)))
1.0ms
(sqrt (log (+ 1.0 (exp x))))
2.0ms
(sqrt (log (+ 1.0 (exp x))))
7.0ms
(* (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(log (+ 1.0 (exp x)))
13.0ms
(sqrt (log (+ 1.0 (exp x))))
13.0ms
(sqrt (log (+ 1.0 (exp x))))
11.0ms
(* (sqrt (log (+ 1.0 (exp x)))) (sqrt (log (+ 1.0 (exp x)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05045845

prune140.0ms

Filtered
54 candidates to 109 candidates (-101.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1081109
Fresh022
Picked011
Done011
Total1085113

Merged error: 0b

Counts
113 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(+ 1.0 (exp x))
0.7b
(log (sqrt (+ 1.0 (exp x))))
0.7b
(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

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))))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05018650

prune129.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done022
Total76581

Merged error: 0b

Counts
81 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (+ 1.0 (exp x)))
0.7b
(sqrt (log (+ 1.0 (exp x))))
0.7b
(sqrt (log (+ 1.0 (exp x))))
0.7b
(* (sqrt (log (+ 1.0 (exp x)))) (log (exp (sqrt (log (+ 1.0 (exp x)))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×sqrt-prod
16×*-un-lft-identity
14×pow1 add-cube-cbrt
13×log-pow
11×associate-*r*
10×log-prod
7×add-exp-log exp-prod associate-*l*
6×add-cbrt-cube
4×add-log-exp
3×distribute-rgt-in distribute-lft-in
2×rem-sqrt-square log-div sqrt-pow1 pow1/2 unswap-sqr
1×flip3-+ rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 80
Calls
4 calls:
3.0ms
(log (+ 1.0 (exp x)))
1.0ms
(sqrt (log (+ 1.0 (exp x))))
1.0ms
(sqrt (log (+ 1.0 (exp x))))
9.0ms
(* (sqrt (log (+ 1.0 (exp x)))) (log (exp (sqrt (log (+ 1.0 (exp x)))))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(log (+ 1.0 (exp x)))
13.0ms
(sqrt (log (+ 1.0 (exp x))))
13.0ms
(sqrt (log (+ 1.0 (exp x))))
11.0ms
(* (sqrt (log (+ 1.0 (exp x)))) (log (exp (sqrt (log (+ 1.0 (exp x)))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05196903

prune157.0ms

Filtered
57 candidates to 92 candidates (-61.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done033
Total92597

Merged error: 0b

Counts
97 → 5

regimes143.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1369

end0.0ms

sample1.1s

Algorithm
intervals
Results
395.0ms8458×body80valid
100.0ms2487×body80overflowed
86.0ms260×body640valid
76.0ms128×body1280valid
33.0ms174×body320valid
12.0ms107×body160valid

Profiling

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