Details

Time bar (total: 3.8s)

sample54.0ms

Algorithm
intervals
Results
29.0ms66×body1280valid
11.0ms53×body640valid
3.0ms25×body320valid
2.0ms97×body80valid
1.0ms74×body80nan
1.0ms15×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 37.4b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.2b
(log (+ 1.0 x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
1×flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

series45.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(log (+ 1.0 x))

simplify39.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
012295
132786
2116181
3500278

prune37.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0.1b

Counts
19 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
36×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
4×pow1
3×associate-*r/ associate-*l*
2×diff-log frac-sub cbrt-unprod
1×cbrt-undiv sub-neg flip3-- flip3-+ pow-prod-down associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 126
Calls
2 calls:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
10.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series92.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
40.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify73.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0676882
12962760
25001756

prune282.0ms

Filtered
132 candidates to 81 candidates (61.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh022
Picked011
Done011
Total1315136

Merged error: 0.1b

Counts
136 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (pow (log (+ 1.0 x)) 3))
0.3b
(pow (log (+ 1.0 x)) 3)
4.2b
(log (+ 1.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×pow1
8×unpow-prod-down cube-prod
5×add-exp-log log-pow
4×log-prod add-cbrt-cube
3×pow-unpow add-log-exp
2×cube-mult log-div unpow3 sqr-pow
1×pow-to-exp pow-pow flip3-+ pow1/3 rem-log-exp pow-exp rem-cbrt-cube flip-+ distribute-lft-out rem-cube-cbrt
Counts
3 → 63
Calls
3 calls:
2.0ms
(cbrt (pow (log (+ 1.0 x)) 3))
3.0ms
(pow (log (+ 1.0 x)) 3)
6.0ms
(log (+ 1.0 x))

series181.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(cbrt (pow (log (+ 1.0 x)) 3))
94.0ms
(pow (log (+ 1.0 x)) 3)
40.0ms
(log (+ 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0396448
11590425
25001406

prune119.0ms

Filtered
72 candidates to 40 candidates (55.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New71172
Fresh112
Picked101
Done022
Total73477

Merged error: 0.1b

Counts
77 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (pow x 2))
0.1b
(* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))
11.3b
(- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2))))
21.7b
(/ (- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))) (* (- (* 1.0 x) (log 1.0)) (pow 1.0 2)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
20×associate-*l/
16×add-sqr-sqrt add-cbrt-cube
13×prod-exp
12×flip3-- flip--
10×add-cube-cbrt *-un-lft-identity
9×associate-*r*
8×frac-sub
6×pow1 associate-*l* associate-/l/ add-log-exp
5×cbrt-unprod
4×unpow-prod-down div-exp unswap-sqr
3×pow-to-exp times-frac pow-exp associate-/l*
2×cbrt-undiv associate-/r/ *-commutative unpow2 sqr-pow
1×sub-neg frac-2neg diff-log div-sub pow-prod-down clear-num associate-/r* div-inv
Counts
4 → 96
Calls
4 calls:
5.0ms
(* 1/2 (pow x 2))
9.0ms
(* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))
12.0ms
(- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2))))
21.0ms
(/ (- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))) (* (- (* 1.0 x) (log 1.0)) (pow 1.0 2)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 1/2 (pow x 2))
233.0ms
(* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))
118.0ms
(- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2))))
158.0ms
(/ (- (* (- (* (* 1.0 x) (* 1.0 x)) (* (log 1.0) (log 1.0))) (pow 1.0 2)) (* (- (* 1.0 x) (log 1.0)) (* 1/2 (pow x 2)))) (* (- (* 1.0 x) (log 1.0)) (pow 1.0 2)))

simplify106.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06511887
135401601
250011575

prune298.0ms

Filtered
108 candidates to 73 candidates (67.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh011
Picked101
Done022
Total1075112

Merged error: 0.1b

Counts
112 → 5

regimes101.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.7b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

sample1.7s

Algorithm
intervals
Results
988.0ms2285×body1280valid
343.0ms1654×body640valid
83.0ms814×body320valid
58.0ms2827×body80valid
36.0ms2707×body80nan
25.0ms420×body160valid